What is the difference between quantitative and qualitative data?

Quantitative data is expressed in numbers (e.g., income, production), while qualitative data describes attributes that cannot be measured numerically (e.g., honesty, intelligence).

Introduction — NCERT Class 11 Economics

Q: What are the limitations of statistics?

Statistics deals only with quantitative data, ignores qualitative aspects, can be misused with biased data, results are true only on average, and statistical laws are approximate.

Exercise Solutions Available

Step-by-step answers for all textbook questions in this chapter

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How to Use This Page

This page provides complete NCERT exercise solutions for CBSE Class 11 Economics Chapter 1 — Introduction (Statistics for Economics). Go through the Key Concepts recap first, then solve the intext questions and chapter-end exercises step by step. Use these answers to verify your own solutions and strengthen your understanding of statistics in economics.

Key Concepts (Quick Recap)

Statistics in plural sense: numerical data or numerical facts collected with a definite purpose
Statistics in singular sense: the science of collecting, organising, presenting, analysing, and interpreting numerical data
Scope of Statistics in Economics: helps in understanding economic problems, framing policies, evaluating economic plans, and making predictions
Functions of Statistics: simplification of complex data, comparison, forecasting, formulation and testing of hypotheses, estimation
Limitations of Statistics: ignores qualitative aspects, results are true on average only, can be misused, statistical laws are approximations, blind use can lead to wrong conclusions
Types of Data — Quantitative: data expressed in numbers (income, production, height)
Types of Data — Qualitative: data describing attributes (honesty, colour, nationality)
Types of Data — Primary: data collected by the investigator for the first time
Types of Data — Secondary: data already collected by someone else and available from published or unpublished sources

Intext Questions

Section 1.1 — Why Study Statistics?

Q1. Which of the following is not a function of statistics?

Answer

(a) Simplification of complex data (b) Comparison of data (c) Manipulation of data (d) Forecasting economic trends

Answer(c) Manipulation of data. Statistics does not manipulate data; it organises and analyses it. Manipulation implies dishonest use which is a misuse, not a function.

Q2. Statistics is most useful in which field?

AnswerStatistics is most useful in Economics because economic data — production, consumption, income, prices — is quantitative and requires statistical methods for analysis, comparison, and policy-making.

Section 1.2 — Scope and Limitations

Q3. "Statistics can prove anything." Is this statement correct?

AnswerNo, this statement is incorrect. Statistics can only prove what the data supports. If data is biased, incomplete, or deliberately manipulated, the conclusion will be wrong. The fault lies with the user, not with statistics itself. As the saying goes, "There are three kinds of lies — lies, damned lies, and statistics," which refers to the misuse, not the method.

Chapter-End Exercise

Question 1

Which of the following is not a function of statistics?

(a) Simplification of complex facts (b) Comparison of facts (c) Forecasting future (d) All of the above are functions

Answer(d) All of the above are functions. Statistics simplifies complex data, enables comparison, and helps in forecasting.

Question 2

Which of the following is a limitation of statistics?

(a) It studies only quantitative data (b) It gives results that are true on average (c) It can be misused (d) All of the above

Answer(d) All of the above. Statistics studies only quantitative data, gives average results, and can be misused — all are its limitations.

Question 3

Define Statistics in the singular sense.

AnswerIn the singular sense, Statistics is the science of collecting, organising, presenting, analysing, and interpreting numerical data to arrive at meaningful conclusions. It is a body of methods and principles used for dealing with data.

Question 4

Define Statistics in the plural sense.

AnswerIn the plural sense, Statistics refers to numerical facts or numerical data collected systematically with a definite purpose. For example, data on India's population, national income, or agricultural production.

Question 5

What are the functions of Statistics?

AnswerThe main functions of Statistics are:

1. Simplification of complex data: Large masses of data are condensed into significant figures using averages, percentages, and graphs. 2. Comparison: Statistical tools like ratios and coefficients enable comparison of data sets. 3. Forecasting: Statistical methods like time series analysis help predict future trends. 4. Formulation and testing of hypotheses: Statistics helps frame and verify economic hypotheses. 5. Estimation: Unknown population values are estimated using sample statistics. 6. Policy-making: Governments use statistical data to formulate economic policies.

Question 6

What are the limitations of Statistics?

AnswerThe limitations of Statistics are:

1. Studies only quantitative data: Statistics cannot deal with qualitative attributes like honesty, intelligence, or loyalty. 2. Results are true on average: Statistical conclusions are not universally true; they hold on average. 3. Can be misused: Data can be presented selectively to support a false claim. 4. Statistical laws are approximate: Unlike laws in physics, statistical laws are not exact. 5. Blind use is dangerous: Applying statistical methods without understanding the context leads to incorrect conclusions. 6. Requires homogeneity: Statistical tools give meaningful results only when data is homogeneous.

Question 7

Distinguish between quantitative and qualitative data.

Answer

Basis	Quantitative Data	Qualitative Data
Expression	Expressed in numbers	Expressed in attributes
Examples	Income, height, production	Honesty, colour, nationality
Measurability	Can be measured numerically	Cannot be measured numerically
Statistical analysis	Can be analysed using statistical tools	Cannot be directly analysed statistically

Question 8

Distinguish between primary and secondary data.

Answer

Basis	Primary Data	Secondary Data
Collection	Collected by investigator first-hand	Already collected by someone else
Originality	Original in character	Not original
Accuracy	More accurate and reliable	Less reliable as it passes through hands
Cost and time	More expensive and time-consuming	Less expensive and time-saving
Examples	Census survey, questionnaire	Published reports, government records

Question 9

What do you mean by distrust of statistics?

AnswerDistrust of statistics refers to the lack of faith in statistical data and methods due to their misuse. It arises because:

1. Statistics can be manipulated to support any argument. 2. Figures may be presented without context. 3. Biased samples can lead to misleading conclusions. 4. Wrong methods may be deliberately applied.

However, the distrust is not of the science of statistics but of its users. Statistics itself is a neutral tool; it is the dishonest user who misrepresents facts.

Question 10

Explain the scope of Statistics in Economics.

AnswerThe scope of Statistics in Economics includes:

1. Understanding economic problems: Statistical data helps identify and understand economic issues like poverty, unemployment, and inflation. 2. Formulation of economic policies: Government uses data on national income, prices, production to frame fiscal and monetary policies. 3. Economic planning: Statistical data is the foundation of economic planning and development programmes. 4. Evaluation of policies: The success or failure of economic policies is judged using statistical tools. 5. Economic research: Economists use statistical methods to test theories and establish relationships between economic variables. 6. Business decision-making: Firms use statistical data for demand analysis, market research, and quality control.

Question 11

"Statistics is the science of averages." Comment.

AnswerThis statement partially describes statistics but is not complete. Averages are indeed one of the most important tools in statistics — the mean, median, and mode summarise large data sets into single representative figures. However, statistics encompasses much more than averages: it includes measures of dispersion, correlation, index numbers, time series, probability, and inferential methods. Calling statistics "the science of averages" understates its broad scope.

Question 12

"Statistics can prove anything." Critically examine this statement.

AnswerThis statement is an exaggeration and reflects the distrust of statistics. Statistics cannot prove anything on its own — it can only analyse data and draw conclusions based on the data available. If the data is biased, incomplete, or deliberately manipulated, the conclusions will be wrong. The problem lies with the user, not the science. A competent statistician uses proper methods and honest data, and the conclusions are then reliable. The statement should be: "Statistics can be used to support anything," which refers to misuse, not the inherent nature of statistics.

Question 13

State whether the following data is primary or secondary:

(a) Data collected by a researcher through a questionnaire (b) Data obtained from Economic Survey of India (c) Data collected by a company from its own records (d) Data published in a research journal

Answer

(a) Primary data — collected first-hand by the researcher. (b) Secondary data — already published by the Government of India. (c) Primary data — the company collected it from its own records for its own purpose. (d) Secondary data — already published by someone else in a journal.

Question 14

Give two examples each of quantitative and qualitative data.

Answer

Quantitative data: (1) Monthly income of a family = Rs 25,000; (2) Rice production in a year = 100 million tonnes.

Qualitative data: (1) Honesty of an employee; (2) Colour of a person's eyes.

Question 15

Write a short note on the importance of Statistics in economic planning.

AnswerStatistics plays a vital role in economic planning. Planners need reliable and adequate data about the country's resources, population, national income, production, consumption, and trade to formulate plans. Statistical data helps set targets, allocate resources, and determine priorities. Without statistical data, economic planning would be guesswork. For example, the Five Year Plans in India were based on statistical data on poverty, employment, agriculture, and industry. The success of planning is also measured using statistical indicators like GDP growth rate, per capita income, and literacy rate.

Internal Links

[Chapter 1 Guide — Introduction](/school/cbse/class/11/economics/cbse-introduction-statistics)
[All Class 11 Economics Solutions](/school/cbse/class/11/economics/solutions)
[Class 11 Economics Subject Guide](/school/cbse/class/11/economics)

Frequently Asked Questions

Statistics in Economics refers to the collection, organisation, presentation, analysis, and interpretation of numerical data to understand economic problems and make informed decisions.