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Learn Correlation and Index Numbers Class 11 Economics with easy summary, short notes, keywords, important questions, and MCQs for CBSE exams and quick revision.

Introduction to Correlation and Index Numbers

The chapter Correlation and Index Numbers in Class 11 Economics Statistics helps students understand how statistical tools are used to analyze relationships between variables and measure changes in economic data over time.

In statistics, economic data often involves relationships between two or more variables. For example, income and consumption, price and demand, rainfall and crop production. Understanding how these variables move together is called correlation.

On the other hand, economists also need to measure changes in economic variables such as prices, production, wages, and cost of living over time. For this purpose, statisticians use index numbers.

Thus, the chapter Correlation and Index Numbers introduces two important statistical concepts used widely in economics, business analysis, and policy making. Correlation helps in understanding relationships between variables, while index numbers help measure economic changes over time.

Both concepts are extremely important in economic planning, business forecasting, and decision making.

Short Notes on Correlation and Index Numbers

• Correlation refers to the statistical relationship between two variables.

• It shows whether variables move in the same direction or opposite direction.

• When two variables move in the same direction, it is called positive correlation.

• When two variables move in opposite directions, it is called negative correlation.

• If there is no relationship between variables, it is called zero correlation.

• Correlation is measured using the correlation coefficient.

• The value of correlation coefficient ranges between –1 and +1.

• Karl Pearson’s method is commonly used to calculate correlation.

• Index numbers measure the relative change in variables over time.

• Index numbers are used to measure inflation, cost of living, and economic growth.

• Examples of index numbers include Consumer Price Index (CPI) and Wholesale Price Index (WPI).

• Index numbers help governments and economists make economic policies.

Detailed Summary of Correlation and Index Numbers (900–1200 Words)

The chapter Correlation and Index Numbers explains two important statistical tools used in economic analysis. These tools help economists understand relationships between variables and measure changes in economic indicators over time.

Correlation

Correlation refers to the degree of relationship between two variables. It indicates whether the variables move together or in opposite directions.

For example, there is a relationship between income and consumption. When income increases, consumption usually increases. This is an example of positive correlation.

Similarly, there is a relationship between price and demand. When price increases, demand usually decreases. This is an example of negative correlation.

Thus, correlation helps in understanding how one variable changes when another variable changes.

Types of Correlation

Correlation can be classified into different types depending on the direction and number of variables involved.

Positive Correlation

Positive correlation occurs when both variables move in the same direction. When one variable increases, the other also increases.

Example:
Income and consumption.

Negative Correlation

Negative correlation occurs when variables move in opposite directions. When one variable increases, the other decreases.

Example:
Price and demand.

Zero Correlation

Zero correlation occurs when there is no relationship between variables.

Example:
Shoe size and intelligence.

Degree of Correlation

The strength of correlation is measured using the correlation coefficient. The correlation coefficient ranges from –1 to +1.

If the value is +1, the correlation is perfectly positive.
If the value is –1, the correlation is perfectly negative.
If the value is 0, there is no correlation.

Values closer to +1 or –1 indicate stronger relationships between variables.

Methods of Studying Correlation

Correlation can be studied using different methods:

Scatter Diagram Method
Karl Pearson’s Coefficient of Correlation
Spearman’s Rank Correlation Method

The scatter diagram method is a graphical method used to visually observe the relationship between variables.

The Karl Pearson method is the most widely used mathematical method for measuring correlation.

Correlation is widely used in economics for analyzing relationships such as income and savings, price and supply, and advertisement and sales.

Index Numbers

The second part of the chapter Correlation and Index Numbers focuses on index numbers.

Index numbers are statistical measures used to show changes in variables over time. They are expressed as percentages relative to a base year.

For example, if the price index increases from 100 to 120, it means prices have increased by 20 percent.

Index numbers are extremely useful in economic analysis because they help measure changes in prices, production, wages, and other economic indicators.

Importance of Index Numbers

Index numbers play an important role in economic analysis.

They help measure inflation and cost of living. Governments use index numbers to adjust wages and salaries.

Index numbers also help compare economic conditions between different time periods.

Economists use index numbers to study economic growth and development.

For example, the Consumer Price Index (CPI) measures the change in prices of goods and services consumed by households.

Similarly, the Wholesale Price Index (WPI) measures changes in prices at the wholesale level.

Types of Index Numbers

There are different types of index numbers used in economics.

Price Index

Measures changes in prices of goods and services.

Example:
Consumer Price Index.

Quantity Index

Measures changes in production or quantity of goods.

Example:
Industrial Production Index.

Value Index

Measures changes in the total value of goods and services.

These index numbers help economists understand economic trends and patterns.

Construction of Index Numbers

Index numbers are constructed using different methods.

One of the simplest methods is the simple aggregate method.

Another commonly used method is the weighted index method, which assigns weights to different commodities based on their importance.

Weighted index numbers are more reliable because they consider the relative importance of commodities.

Limitations of Index Numbers

Although index numbers are very useful, they have some limitations.

They depend on the choice of base year.

The selection of commodities and weights can influence results.

Index numbers provide approximate measurements rather than exact values.

Despite these limitations, index numbers remain essential tools in economic analysis.

Flowchart / Mind Map (Text-Based)

Correlation and Index Numbers

Statistics Tools
│
├── Correlation
│ ├── Positive Correlation
│ ├── Negative Correlation
│ ├── Zero Correlation
│ ├── Scatter Diagram
│ └── Karl Pearson Method
│
└── Index Numbers
├── Price Index
├── Quantity Index
├── Value Index
├── CPI
└── WPI

Important Keywords with Meanings

Correlation
Statistical relationship between two variables.

Positive Correlation
Both variables move in the same direction.

Negative Correlation
Variables move in opposite directions.

Zero Correlation
No relationship between variables.

Correlation Coefficient
Numerical measure of correlation strength.

Index Numbers
Statistical measures that show changes over time.

Base Year
Reference year used to calculate index numbers.

Consumer Price Index (CPI)
Measures change in cost of living.

Wholesale Price Index (WPI)
Measures change in wholesale prices.

Important Questions and Answers

Short Answer Questions

1. What is correlation?

Correlation refers to the statistical relationship between two variables showing how they move together.

2. What is positive correlation?

Positive correlation occurs when both variables increase or decrease together.

3. What are index numbers?

Index numbers are statistical measures used to show changes in economic variables over time.

4. What is a base year?

A base year is the reference year used to compare economic data.

Long Answer Questions

1. Explain the concept of correlation.

Correlation measures the degree and direction of relationship between two variables. It helps economists understand how one variable changes in response to changes in another variable. The value of correlation ranges from –1 to +1.

2. Explain the importance of index numbers.

Index numbers help measure changes in prices, production, and cost of living over time. They are widely used for measuring inflation, economic growth, and economic planning.

20 MCQs on Correlation and Index Numbers

Correlation measures
A relationship between variables
B average value
C total frequency
D median
Answer: A
Positive correlation means
A variables move together
B variables move opposite
C no relationship
D random movement
Answer: A
Negative correlation means
A variables move opposite
B variables move same
C no relation
D constant value
Answer: A
Correlation coefficient ranges between
A –1 and +1
B 0 and 1
C –5 and +5
D 0 and 100
Answer: A
Scatter diagram is used to study
A correlation
B mean
C median
D dispersion
Answer: A
Index numbers measure
A change over time
B frequency
C average
D total
Answer: A
CPI stands for
A Consumer Price Index
B Central Price Index
C Cost Product Index
D Consumer Production Index
Answer: A
WPI measures
A wholesale prices
B retail prices
C wages
D profits
Answer: A
Base year index value is
A 100
B 10
C 1
D 0
Answer: A
Correlation does not indicate
A causation
B relationship
C direction
D strength
Answer: A

11–20 (additional practice questions)

Perfect positive correlation value is +1
Perfect negative correlation value is –1
Zero correlation means no relationship
Index numbers help measure inflation
CPI measures cost of living
Quantity index measures production changes
Value index measures value changes
Karl Pearson method measures correlation
Scatter diagram shows visual correlation
Index numbers are useful for economic analysis

Exam Tips / Value-Based Questions

• Understand the difference between positive and negative correlation.
• Practice interpreting scatter diagrams.
• Remember that correlation shows relationship, not causation.
• Learn formulas related to correlation coefficient.
• Understand the importance of CPI and WPI in measuring inflation.

Value-Based Question:

Why are index numbers important for government policy making?

Answer:
Index numbers help governments measure inflation, cost of living, and economic growth. These indicators help in designing effective economic policies.

Conclusion

The chapter Correlation and Index Numbers Class 11 Economics introduces important statistical tools used in economic analysis. Correlation helps understand relationships between variables, while index numbers measure changes in economic indicators over time.

Understanding Correlation and Index Numbers helps students analyze economic trends, interpret statistical data, and prepare for higher studies in economics, statistics, and business. These tools are widely used in economic planning, policy making, and business decision-making.

Thus, mastering the concepts of Correlation and Index Numbers Class 11 Economics is essential for students preparing for CBSE exams, competitive exams, and advanced economic studies.

Class 11 Economics – Correlation and Index Numbers

80 Marks Question Paper (CBSE Pattern)

Subject: Statistics for Economics
Chapter: Correlation and Index Numbers
Class: XI
Time: 3 Hours
Maximum Marks: 80

Section A – Objective Type Questions

(1 × 10 = 10 Marks)

1. Correlation measures the:
a) Difference between variables
b) Relationship between variables
c) Average of variables
d) Dispersion of variables

2. The value of correlation coefficient lies between:
a) –1 and +1
b) 0 and 1
c) –10 and +10
d) –5 and +5

3. When two variables move in the same direction, it is called:
a) Negative correlation
b) Positive correlation
c) Zero correlation
d) Perfect correlation

4. When the price of one good increases and demand for another good also increases, it shows:
a) Positive correlation
b) Negative correlation
c) Zero correlation
d) No relation

5. The diagram used to study correlation graphically is called:
a) Histogram
b) Pie chart
c) Scatter diagram
d) Bar diagram

6. An index number measures:
a) Absolute change
b) Relative change
c) Average change
d) Total change

7. Consumer Price Index is also called:
a) Wholesale Price Index
b) Cost of Living Index
c) Production Index
d) Quantity Index

8. Index numbers are useful in measuring:
a) Inflation
b) Population
c) Area
d) Literacy

9. The base year of an index number should be:
a) Abnormal year
b) Normal year
c) War year
d) Festival year

10. Laspeyres index uses:
a) Current year quantities
b) Base year quantities
c) Average quantities
d) Future quantities

Section B – Short Answer Questions

(3 × 10 = 30 Marks)

11. Define correlation.

12. What is positive correlation? Give an example.

13. What is negative correlation?

14. Explain scatter diagram method.

15. Define index numbers.

16. What are the uses of index numbers?

17. What is Consumer Price Index?

18. Distinguish between simple index and weighted index.

19. What is base year?

20. What are the limitations of index numbers?

Section C – Long Answer Questions

(6 × 5 = 30 Marks)

21. Explain the meaning and types of correlation.

22. Explain the importance of correlation in economics.

23. Describe scatter diagram method of studying correlation.

24. Explain the meaning and features of index numbers.

25. Discuss the uses of index numbers in economic analysis.

Section D – Numerical Problems

(5 × 2 = 10 Marks)

26. Calculate the simple price index using the following data:

Commodity	Price in Base Year	Price in Current Year
A	10	15
B	8	12
C	5	10

Use formula:

Price Index = (ΣP1 / ΣP0) × 100

27. Calculate Laspeyres Price Index from the following data:

Commodity	P0	P1	Q0
A	10	12	5
B	6	8	8
C	4	6	10

Formula:

Laspeyres Index = (ΣP1Q0 / ΣP0Q0) × 100

Section E – Case Study Based Question

(10 Marks)

Read the passage carefully and answer the questions:

Inflation refers to a continuous rise in the general price level of goods and services. Economists use index numbers such as Consumer Price Index (CPI) and Wholesale Price Index (WPI) to measure inflation. These index numbers help the government understand changes in purchasing power and cost of living.

Correlation is also useful in economics because it helps in studying relationships between variables such as income and consumption, price and demand, and advertising and sales.

Questions

a) What is inflation?
b) Name two index numbers used to measure inflation.
c) Why are index numbers important for the government?
d) What is correlation?
e) Give one example of correlation in economics.

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Class 11 Economics – Correlation and Index Numbers

Solved 80 Marks Question Paper (CBSE Pattern)

Subject: Statistics for Economics
Chapter: Correlation and Index Numbers
Time: 3 Hours
Maximum Marks: 80

Section A – Objective Type Questions

(1 × 10 = 10 Marks)

1. Correlation measures the:
Answer: b) Relationship between variables

2. The value of correlation coefficient lies between:
Answer: a) –1 and +1

3. When two variables move in the same direction, it is called:
Answer: b) Positive correlation

4. When price of one good increases and demand for another good increases:
Answer: a) Positive correlation

5. The diagram used to study correlation graphically:
Answer: c) Scatter diagram

6. An index number measures:
Answer: b) Relative change

7. Consumer Price Index is also called:
Answer: b) Cost of Living Index

8. Index numbers are useful in measuring:
Answer: a) Inflation

9. Base year should be:
Answer: b) Normal year

10. Laspeyres index uses:
Answer: b) Base year quantities

Section B – Short Answer Questions

(3 × 10 = 30 Marks)

11. Define Correlation.

Answer:
Correlation refers to the statistical relationship between two or more variables. It measures the degree and direction of association between variables.

For example, income and consumption usually have a positive correlation because when income increases, consumption also increases.

12. What is Positive Correlation?

Answer:
Positive correlation occurs when two variables move in the same direction.

If one variable increases, the other also increases; if one decreases, the other decreases.

Example:
Income and consumption.

13. What is Negative Correlation?

Answer:
Negative correlation occurs when two variables move in opposite directions.

When one variable increases, the other decreases.

Example:
Price and demand.

14. Explain Scatter Diagram Method.

Answer:
Scatter diagram is a graphical method used to study correlation between two variables.

Steps:

One variable is plotted on the X-axis.
The other variable is plotted on the Y-axis.
Each pair of values is represented as a point on the graph.

Interpretation:

Points moving upward → Positive correlation
Points moving downward → Negative correlation
Random points → No correlation

15. Define Index Numbers.

Answer:
Index numbers are statistical measures used to show changes in a variable or group of variables over time.

They measure relative changes rather than absolute changes.

Example: Consumer Price Index (CPI).

16. Uses of Index Numbers.

Answer:

Index numbers are useful for:

Measuring inflation
Studying price changes
Measuring cost of living
Wage adjustments
Economic planning
Policy making by government

17. What is Consumer Price Index?

Answer:
Consumer Price Index (CPI) measures changes in the retail prices of goods and services consumed by households.

It indicates the cost of living of consumers.

18. Difference Between Simple Index and Weighted Index.

Basis	Simple Index	Weighted Index
Meaning	All items treated equally	Different weights assigned
Accuracy	Less accurate	More accurate
Importance	Does not consider importance	Considers importance

19. What is Base Year?

Answer:
Base year is the year used as a reference point for calculating index numbers.

The value of the index in the base year is usually taken as 100.

A base year should be a normal year without economic disturbances.

20. Limitations of Index Numbers.

Answer:

Selection of base year may be difficult.
Data collection may not be accurate.
Different methods give different results.
Quality changes are difficult to measure.
May not represent the entire population.

Section C – Long Answer Questions

(6 × 5 = 30 Marks)

21. Meaning and Types of Correlation.

Answer:

Correlation refers to the statistical relationship between two or more variables.

It shows how changes in one variable affect another variable.

Types of Correlation

1. Positive Correlation
When both variables move in the same direction.

Example: Income and consumption.

2. Negative Correlation
When variables move in opposite directions.

Example: Price and demand.

3. Zero Correlation
When there is no relationship between variables.

Example: Shoe size and intelligence.

4. Perfect Correlation

Perfect Positive Correlation = +1
Perfect Negative Correlation = –1

Correlation is widely used in economics to study relationships among economic variables.

22. Importance of Correlation in Economics.

Answer:

Correlation plays an important role in economic analysis.

Importance

Helps study economic relationships
Useful for forecasting economic trends
Helps in decision making
Useful for research studies
Helps understand cause-and-effect relationships

Example: Relationship between income and consumption.

23. Scatter Diagram Method.

Answer:

Scatter diagram is a graphical method used to study correlation between variables.

Steps

Draw two axes (X and Y).
Plot the values of the variables.
Observe the pattern of points.

Types of Patterns

Upward slope → Positive correlation
Downward slope → Negative correlation
Random pattern → No correlation

Advantages

Simple method
Easy to understand
Quick visual analysis

24. Meaning and Features of Index Numbers.

Answer:

Index numbers measure relative changes in variables such as prices, quantities, or values over time.

Features

Measure relative change
Expressed in percentage
Base year value is 100
Useful for economic analysis
Based on statistical methods

Example: Wholesale Price Index, Consumer Price Index.

25. Uses of Index Numbers in Economic Analysis.

Answer:

Index numbers are widely used in economics.

Major Uses

Measuring inflation
Studying price trends
Wage adjustments
Policy formulation
Economic planning
Business decision making
Comparing economic conditions over time

For example, Consumer Price Index shows the cost of living changes.

Section D – Numerical Problems

(5 × 2 = 10 Marks)

26. Calculate Simple Price Index.

Commodity	P0	P1
A	10	15
B	8	12
C	5	10

Step 1: Apply Formula

Price Index = (ΣP1 / ΣP0) × 100

Step 2: Calculate Totals

ΣP0 = 10 + 8 + 5 = 23

ΣP1 = 15 + 12 + 10 = 37

Step 3: Substitute

Price Index = (37 / 23) × 100

Price Index = 160.87

Final Answer

Simple Price Index = 160.87

This means prices increased by about 60.87% compared to the base year.

27. Calculate Laspeyres Price Index.

Commodity	P0	P1	Q0
A	10	12	5
B	6	8	8
C	4	6	10

Formula

Laspeyres Index = (ΣP1Q0 / ΣP0Q0) × 100

Step 1: Calculate P0Q0 and P1Q0

Commodity	P0	P1	Q0	P0Q0	P1Q0
A	10	12	5	50	60
B	6	8	8	48	64
C	4	6	10	40	60

Step 2: Totals

ΣP0Q0 = 50 + 48 + 40 = 138

ΣP1Q0 = 60 + 64 + 60 = 184

Step 3: Apply Formula

Laspeyres Index = (184 / 138) × 100

Laspeyres Index = 133.33

Final Answer

Laspeyres Price Index = 133.33

This means prices increased by 33.33% compared to the base year.

Section E – Case Study Answer

(10 Marks)

a) What is inflation?

Inflation refers to a continuous rise in the general price level of goods and services in an economy.

b) Name two index numbers used to measure inflation.

Consumer Price Index (CPI)
Wholesale Price Index (WPI)

c) Why are index numbers important for the government?

Index numbers help the government:

Measure inflation
Formulate economic policies
Adjust wages and salaries
Monitor price changes

d) What is correlation?

Correlation refers to the statistical relationship between two variables.

e) Give one example of correlation in economics.

Income and consumption have positive correlation because when income increases, consumption also increases.

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Class 11 Economics – Correlation and Index Numbers

50 MCQs with Answers (NCERT Based)

These MCQs on Correlation and Index Numbers Class 11 Economics are designed according to the CBSE examination pattern. These questions help students revise important concepts such as types of correlation, scatter diagram, index numbers, price indices, and consumer price index.

Part A – MCQs on Correlation

1. Correlation measures the:

a) Average value
b) Relationship between two variables
c) Frequency distribution
d) Variation in data

Answer: b) Relationship between two variables

2. The value of correlation coefficient lies between:

a) 0 and 1
b) –1 and +1
c) –2 and +2
d) 0 and 10

Answer: b) –1 and +1

3. When two variables move in the same direction, the correlation is:

a) Negative
b) Positive
c) Zero
d) Perfect

Answer: b) Positive

4. When one variable increases and the other decreases, the correlation is:

a) Positive
b) Negative
c) Zero
d) Perfect

Answer: b) Negative

5. Perfect positive correlation is represented by:

a) –1
b) +1
c) 0
d) 10

Answer: b) +1

6. Perfect negative correlation is represented by:

a) –1
b) +1
c) 0
d) 2

Answer: a) –1

7. If the correlation coefficient is zero, it means:

a) Perfect correlation
b) No relationship
c) Positive relationship
d) Negative relationship

Answer: b) No relationship

8. The graphical method used to study correlation is:

a) Histogram
b) Scatter diagram
c) Bar diagram
d) Pie chart

Answer: b) Scatter diagram

9. Correlation between price and demand is usually:

a) Positive
b) Negative
c) Zero
d) Perfect

Answer: b) Negative

10. Correlation between income and consumption is generally:

a) Positive
b) Negative
c) Zero
d) Perfect negative

Answer: a) Positive

11. Scatter diagram was developed by:

a) Karl Pearson
b) Galton
c) Fisher
d) Marshall

Answer: b) Galton

12. Correlation does not imply:

a) Relationship
b) Association
c) Causation
d) Connection

Answer: c) Causation

13. If all points lie on a straight upward line in scatter diagram, it shows:

a) Perfect positive correlation
b) Perfect negative correlation
c) No correlation
d) Partial correlation

Answer: a) Perfect positive correlation

14. If points lie on a straight downward line:

a) Perfect positive correlation
b) Perfect negative correlation
c) Zero correlation
d) Random correlation

Answer: b) Perfect negative correlation

15. When variables are unrelated:

a) Perfect correlation
b) Zero correlation
c) Positive correlation
d) Negative correlation

Answer: b) Zero correlation

16. Correlation analysis helps in:

a) Forecasting
b) Production
c) Distribution
d) Taxation

Answer: a) Forecasting

17. Which of the following shows positive correlation?

a) Price and demand
b) Income and consumption
c) Price and supply decrease
d) Supply and cost

Answer: b) Income and consumption

18. A correlation coefficient close to +1 indicates:

a) Weak positive correlation
b) Strong positive correlation
c) Negative correlation
d) No correlation

Answer: b) Strong positive correlation

19. A correlation coefficient close to –1 indicates:

a) Weak negative correlation
b) Strong negative correlation
c) Positive correlation
d) Zero correlation

Answer: b) Strong negative correlation

20. Correlation analysis is widely used in:

a) Statistics
b) Economics
c) Business
d) All of these

Answer: d) All of these

Part B – MCQs on Index Numbers

21. Index numbers measure:

a) Absolute change
b) Relative change
c) Constant change
d) No change

Answer: b) Relative change

22. The base year index number is usually:

a) 0
b) 50
c) 100
d) 500

Answer: c) 100

23. The year used for comparison is called:

a) Current year
b) Base year
c) Reference year
d) Both a and c

Answer: d) Both a and c

24. A good base year should be:

a) Abnormal year
b) Normal year
c) Inflation year
d) Recession year

Answer: b) Normal year

25. Index numbers are used to measure:

a) Inflation
b) Price change
c) Cost of living
d) All of these

Answer: d) All of these

26. Consumer Price Index measures:

a) Wholesale prices
b) Retail prices
c) Factory prices
d) Export prices

Answer: b) Retail prices

27. Consumer Price Index is also called:

a) Wholesale index
b) Cost of living index
c) Production index
d) Export index

Answer: b) Cost of living index

28. Index numbers are useful for:

a) Government policy
b) Wage determination
c) Economic analysis
d) All of these

Answer: d) All of these

29. The formula for simple price index is:

a) ΣP1 / ΣP0 × 100
b) ΣP0 / ΣP1 × 100
c) ΣQ1 / ΣQ0 × 100
d) ΣPQ

Answer: a) ΣP1 / ΣP0 × 100

30. Laspeyres index uses:

a) Current quantities
b) Base year quantities
c) Average quantities
d) Estimated quantities

Answer: b) Base year quantities

31. Paasche index uses:

a) Base year quantities
b) Current year quantities
c) Average quantities
d) Estimated quantities

Answer: b) Current year quantities

32. Index numbers are expressed in:

a) Percentages
b) Rupees
c) Units
d) Numbers only

Answer: a) Percentages

33. Which index measures inflation in India?

a) CPI
b) WPI
c) GDP deflator
d) All of these

Answer: d) All of these

34. If price index is 120, it means:

a) Prices increased by 20%
b) Prices decreased by 20%
c) Prices doubled
d) Prices unchanged

Answer: a) Prices increased by 20%

35. If price index is 80:

a) Prices increased 80%
b) Prices decreased 20%
c) Prices increased 20%
d) Prices doubled

Answer: b) Prices decreased 20%

36. Index numbers are important for:

a) Business decisions
b) Economic planning
c) Wage adjustments
d) All of these

Answer: d) All of these

37. Wholesale Price Index measures:

a) Retail prices
b) Wholesale prices
c) Agricultural prices
d) Export prices

Answer: b) Wholesale prices

38. Index numbers are part of:

a) Descriptive statistics
b) Inferential statistics
c) Probability
d) Algebra

Answer: a) Descriptive statistics

39. If index number increases, it indicates:

a) Price fall
b) Price rise
c) No change
d) Random change

Answer: b) Price rise

40. Index numbers are widely used in:

a) Economics
b) Business
c) Government planning
d) All of these

Answer: d) All of these

Mixed Concept MCQs

41. Correlation is used to study:

a) Price changes
b) Relationship between variables
c) Frequency distribution
d) Population size

Answer: b) Relationship between variables

42. Index numbers help measure:

a) Inflation
b) Economic growth
c) Cost of living
d) All of these

Answer: d) All of these

43. Scatter diagram is used to study:

a) Index numbers
b) Correlation
c) Frequency
d) Mean

Answer: b) Correlation

44. When correlation coefficient is +1:

a) Perfect positive correlation
b) Perfect negative correlation
c) Zero correlation
d) Partial correlation

Answer: a) Perfect positive correlation

45. Index numbers are used for:

a) Price comparison
b) Time comparison
c) Economic analysis
d) All of these

Answer: d) All of these

46. Correlation coefficient shows:

a) Direction only
b) Degree only
c) Both direction and degree
d) Neither

Answer: c) Both direction and degree

47. Index number above 100 shows:

a) Price rise
b) Price fall
c) No change
d) Loss

Answer: a) Price rise

48. Index number below 100 shows:

a) Price rise
b) Price fall
c) No change
d) Profit

Answer: b) Price fall

49. Correlation is important for:

a) Economic research
b) Forecasting
c) Decision making
d) All of these

Answer: d) All of these

50. Statistics is important in economics because it:

a) Analyzes data
b) Helps policy making
c) Explains economic relationships
d) All of these

Answer: d) All of these

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Correlation and Index Numbers – Passage Based Worksheet

Class 11 Economics (NCERT Based)

CBSE Pattern Analytical Worksheet (3000+ Words)

This passage-based worksheet on Correlation and Index Numbers for Class 11 Economics is designed according to the CBSE competency-based examination pattern. The worksheet develops analytical, interpretation, and application skills of students by presenting real-life economic situations related to correlation, price changes, cost of living, and index numbers.

Students must read each passage carefully and answer the questions that follow.

Passage 1 – Relationship Between Income and Consumption

In economics, it is often observed that as people’s income increases, their consumption expenditure also tends to increase. Families with higher incomes generally spend more on goods and services such as food, clothing, education, entertainment, and housing. Economists study the relationship between income and consumption using statistical tools like correlation analysis.

Correlation measures the degree and direction of relationship between two variables. If two variables move in the same direction, the correlation is said to be positive. For example, when income increases and consumption also increases, the relationship is positive. However, if one variable increases while the other decreases, the relationship is negative.

Economists often use correlation to analyze consumer behavior, predict economic trends, and make policy decisions. However, correlation does not necessarily mean that one variable causes the other. It only indicates the degree of association between them.

For instance, higher income may lead to higher consumption, but other factors such as prices, preferences, and savings habits also influence consumption patterns.

Questions

What does correlation measure?
What type of correlation exists between income and consumption?
Why do economists use correlation in economic analysis?
Does correlation always imply causation? Explain.
Give one example of positive correlation from the passage.

Passage 2 – Price and Demand Relationship

In a market economy, the relationship between price and demand plays a crucial role in determining the quantity of goods consumers purchase. Generally, when the price of a commodity increases, the demand for that commodity decreases. On the other hand, when the price falls, demand tends to increase.

This inverse relationship between price and demand is known as the law of demand. In statistical terms, this relationship shows negative correlation because the two variables move in opposite directions.

Economists and businesses often study this relationship using statistical tools to understand consumer behavior and make better production decisions. For example, if the price of petrol rises significantly, people may reduce unnecessary travel or switch to public transport. Similarly, when the price of electronic gadgets falls during sales or discounts, demand usually increases.

Understanding this relationship helps businesses set appropriate pricing strategies and helps governments design policies to control inflation and ensure economic stability.

Questions

What type of correlation exists between price and demand?
Why is the relationship between price and demand negative?
What is the law of demand?
How can businesses use correlation between price and demand?
Give one real-life example of negative correlation.

Passage 3 – Correlation in Agricultural Production

Agriculture plays a significant role in the economy of many countries. Farmers and economists often study the relationship between rainfall and crop production. Generally, when rainfall is adequate and well distributed, agricultural production increases. However, when rainfall is insufficient or irregular, crop production declines.

This relationship between rainfall and crop output usually shows positive correlation, because both variables move in the same direction. More rainfall generally leads to higher crop yields, while less rainfall results in lower production.

However, extremely high rainfall can also damage crops due to floods and waterlogging. Therefore, while rainfall and crop production are positively correlated in most cases, the relationship is not always perfectly linear.

Statistical analysis helps policymakers understand agricultural trends, plan irrigation systems, and manage food security. By studying past data on rainfall and crop yields, governments can develop better strategies to support farmers.

Questions

What type of correlation exists between rainfall and crop production?
Why is rainfall important for agriculture?
Can excessive rainfall affect crop production? Explain.
How can statistical analysis help farmers and policymakers?
Give another example of variables that may have positive correlation.

Passage 4 – Understanding Index Numbers

Index numbers are statistical measures that help compare changes in the level of a variable over time. They are widely used in economics to measure changes in prices, production, wages, and other economic indicators.

For example, suppose the price of rice in the base year was ₹50 per kilogram and it increased to ₹60 in the current year. By calculating a price index, economists can measure the percentage change in prices over time.

Index numbers simplify complex data and make it easier to understand trends. Governments, businesses, and researchers use index numbers to analyze inflation, evaluate economic performance, and make informed decisions.

The base year is usually assigned the value 100, and other years are compared with this base. If the index number is above 100, it indicates an increase in the variable, while an index number below 100 indicates a decrease.

Questions

What are index numbers?
Why are index numbers important in economics?
What is a base year?
What does an index number above 100 indicate?
Give one example where index numbers are used.

Passage 5 – Consumer Price Index and Cost of Living

The Consumer Price Index (CPI) is one of the most commonly used index numbers. It measures the average change in the prices of goods and services consumed by households.

The CPI is often referred to as the Cost of Living Index because it shows how the cost of maintaining a certain standard of living changes over time. When the CPI rises, it indicates that the cost of living has increased.

Governments use CPI data to adjust wages, pensions, and social security benefits. Businesses also use CPI to determine salary increments and analyze market conditions.

For example, if the CPI increases from 100 to 120, it means the cost of living has increased by 20 percent compared to the base year.

Accurate measurement of CPI is important because it directly affects economic policies, wage negotiations, and purchasing power of consumers.

Questions

What is the Consumer Price Index?
Why is CPI called the Cost of Living Index?
What does a rise in CPI indicate?
How do governments use CPI data?
If CPI rises from 100 to 120, what does it mean?

Passage 6 – Wholesale Price Index

Another important index number used in economics is the Wholesale Price Index (WPI). It measures the change in prices of goods at the wholesale level before they reach the retail market.

The WPI is used to monitor inflation trends in an economy. Since wholesale prices change earlier than retail prices, WPI often serves as an early indicator of inflation.

In many countries, governments track WPI data regularly to understand the price movements of commodities such as food grains, fuel, metals, and manufactured goods.

Businesses also use WPI data to plan production and pricing strategies. If wholesale prices of raw materials increase significantly, manufacturers may increase the prices of finished goods.

Thus, WPI plays an important role in economic planning and decision making.

Questions

What does the Wholesale Price Index measure?
Why is WPI considered an early indicator of inflation?
How do businesses use WPI data?
What types of goods are included in WPI?
Explain the importance of WPI in economic planning.

Passage 7 – Importance of Statistics in Economics

Statistics is an essential tool in modern economics. Economists use statistical techniques such as correlation analysis and index numbers to study relationships between economic variables and measure changes in economic conditions.

For example, correlation helps economists understand relationships between variables like income and consumption, price and demand, rainfall and agricultural output, etc. Similarly, index numbers help measure changes in prices, wages, production levels, and cost of living over time.

Statistical data helps governments design policies to promote economic growth, control inflation, and improve the standard of living of people. Businesses also rely on statistical analysis to forecast demand, manage costs, and plan investments.

Without statistical tools, it would be extremely difficult to analyze economic trends and make informed decisions in a complex economy.

Questions

Why is statistics important in economics?
Name two statistical tools mentioned in the passage.
How do index numbers help economists?
How do businesses benefit from statistical analysis?
Explain the role of statistics in government policy making.

Case Study Passage – Inflation and Cost of Living

Over the past few years, many countries have experienced a steady increase in the prices of essential commodities such as food, fuel, and housing. This rise in prices is commonly referred to as inflation.

Inflation reduces the purchasing power of consumers because people have to spend more money to buy the same quantity of goods and services. Economists measure inflation using statistical tools such as the Consumer Price Index and Wholesale Price Index.

For example, if the CPI increases significantly, it indicates that the cost of living has risen. Governments closely monitor these indices to design policies that control inflation and protect the welfare of consumers.

Inflation can have both positive and negative effects. Moderate inflation may encourage production and investment, but high inflation can reduce savings and create economic instability.

Therefore, maintaining price stability is one of the key objectives of economic policy.

Questions

What is inflation?
How does inflation affect purchasing power?
Which indices are used to measure inflation?
Why do governments monitor CPI and WPI?
What are the effects of high inflation on the economy?

Higher Order Thinking Questions

Explain the difference between positive and negative correlation with examples.
Why are index numbers considered important for economic planning?
How does CPI affect the standard of living of people?
Explain the role of correlation in economic forecasting.
Why should the base year be a normal year when constructing index numbers?

Worksheet Objective

This worksheet helps students:

✔ Understand real-life applications of correlation and index numbers
✔ Develop analytical and interpretation skills
✔ Prepare for CBSE competency-based questions
✔ Improve economic reasoning and statistical understanding

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