Class 11 Economics Chapter 1 — Introduction (Statistics for Economics)
Welcome to HSLC Guru (hslcguru.com), your trusted study companion for ASSEB Class 11 Economics English Medium. In this article, we present comprehensive question answers, explanations and notes for Chapter 1 — Introduction (Statistics for Economics). Whether you are revising for your half-yearly examination, finals, or simply trying to strengthen your conceptual base in Statistics, this resource is designed to help you understand every important idea, definition, and exam-oriented question in a clear and student-friendly manner.
This chapter introduces you to the meaning, scope, importance and limitations of Statistics, and explains how Statistics is used as an essential tool in the study of Economics. Read the summary first, then go through the textbook questions, additional questions and the glossary at the end for complete preparation.
Summary
The word Statistics has been derived from the Latin word “Status”, the Italian word “Statista”, the German word “Statistik” and the French word “Statistique”, all of which mean a political state. In its earliest form, statistics was used by kings and rulers to collect information about population, wealth, agriculture, military strength and similar matters of the state. Today, the meaning of Statistics has broadened considerably, and it has become one of the most powerful tools in modern Economics, business, planning and research.
Statistics is generally defined in two senses — singular sense and plural sense. In the plural sense, statistics refers to numerical data or facts collected in a systematic manner for a definite purpose, such as data about the production of rice in Assam, the number of students in a school, or the prices of essential commodities. In the singular sense, statistics refers to the science or method that deals with the collection, organisation, presentation, analysis and interpretation of numerical data. Thus, statistics is both a body of data and a body of techniques used to study that data.
The scope and importance of Statistics in Economics is very wide. Almost every branch of Economics — consumption, production, distribution, exchange, public finance, banking, national income, planning and economic development — relies on statistical data and statistical methods. Statistics helps in presenting economic facts simply and clearly, in comparing economic phenomena, in studying relationships between economic variables (such as price and demand, income and consumption), in formulating economic policies, in forecasting economic trends, and in testing economic theories. Without statistics, the study of Economics as a science would be incomplete and largely descriptive.
The stages of statistical study include: (i) Collection of data — gathering numerical information from primary or secondary sources; (ii) Organisation of data — editing, classifying and tabulating the raw data; (iii) Presentation of data — displaying data through tables, diagrams and graphs; (iv) Analysis of data — applying statistical tools such as averages, dispersion, correlation, regression and index numbers; and (v) Interpretation of data — drawing meaningful conclusions and making decisions based on analysis. However, Statistics has certain limitations: it studies only quantitative aggregates and not qualitative phenomena like honesty or beauty directly; results are true only on an average; data can be misused; and statistics without context can be misleading. This is why thinkers have remarked that “there are three kinds of lies — lies, damned lies and statistics,” reflecting the popular distrust of statistics when it is misused or wrongly interpreted.
Textbook Question Answers
Very Short Answer Type Questions (1 Mark)
Q1. From which word is the term “Statistics” derived?
Answer: The term “Statistics” is derived from the Latin word “Status”, the Italian word “Statista”, the German word “Statistik” and the French word “Statistique”, all of which mean a political state.
Q2. Define Statistics in the plural sense.
Answer: In the plural sense, Statistics refers to numerical data or facts collected systematically for a definite purpose and placed in relation to each other.
Q3. Define Statistics in the singular sense.
Answer: In the singular sense, Statistics refers to the science or methods used for collecting, organising, presenting, analysing and interpreting numerical data.
Q4. Who is regarded as the “Father of Statistics”?
Answer: Sir Ronald A. Fisher is regarded as the “Father of Modern Statistics” for his pioneering contributions to the design of experiments and statistical inference.
Q5. Mention any one stage of statistical study.
Answer: One important stage of statistical study is the Collection of Data, in which numerical information is gathered from primary or secondary sources.
Q6. Give one example of statistics in the plural sense.
Answer: The data showing the production of rice in Assam during the last five years is an example of statistics in the plural sense.
Q7. State one limitation of Statistics.
Answer: Statistics deals only with quantitative information; qualitative phenomena like honesty, beauty or intelligence cannot be measured directly.
Q8. Who said, “Statistics are the straws out of which I, like every other economist, have to make bricks”?
Answer: This famous quotation was made by Alfred Marshall, emphasising the importance of statistical data in economic analysis.
Q9. What do you mean by “distrust of statistics”?
Answer: Distrust of statistics refers to the lack of confidence people have in statistical results because data is sometimes manipulated, misused or wrongly interpreted to mislead others.
Q10. Name any two branches of Economics that use Statistics.
Answer: Two important branches of Economics that extensively use Statistics are Public Finance and the study of National Income.
Short Answer Type Questions (2-3 Marks)
Q1. Distinguish between Statistics in the singular sense and Statistics in the plural sense.
Answer: In the plural sense, statistics means numerical data — for example, figures of population, production or prices. In the singular sense, it means the science of collecting, organising, presenting, analysing and interpreting that numerical data. The plural sense represents the data itself, while the singular sense represents the methods used to study the data.
Q2. Explain briefly the importance of Statistics in Economics.
Answer: Statistics is indispensable in Economics because it helps in presenting economic facts in numerical form, comparing different economic variables, studying relationships between variables (such as price and demand), formulating economic policies, forecasting future trends and testing economic theories. Modern Economics is essentially an empirical science, and without statistics it would remain merely descriptive.
Q3. State any three characteristics of Statistics in the plural sense.
Answer: Three characteristics of Statistics in the plural sense are: (i) Statistics consists of aggregates of facts — a single figure does not constitute statistics; (ii) Statistics are numerically expressed, not qualitative; and (iii) Statistics are collected in a systematic manner for a pre-determined purpose, ensuring accuracy and comparability.
Q4. What are the main functions of Statistics?
Answer: The main functions of Statistics are: (i) to present facts in a definite and numerical form; (ii) to simplify complex and unwieldy data; (iii) to facilitate comparison between different sets of data; (iv) to help in formulating and testing hypotheses; (v) to help in predicting future trends; and (vi) to assist in policy formulation and decision-making.
Q5. Why is there distrust of Statistics?
Answer: Distrust of Statistics arises mainly because data can be manipulated to support pre-determined conclusions, results may be presented out of context, sampling may be biased, and figures may be deliberately misused by interested parties. The famous saying “there are lies, damned lies and statistics” reflects this distrust. However, the fault lies not with Statistics itself but with its users.
Q6. State any three limitations of Statistics.
Answer: Three limitations of Statistics are: (i) Statistics studies only quantitative phenomena and ignores qualitative aspects; (ii) Statistical results are true only on an average and may not apply to individual cases; and (iii) Statistics can be misused by people with vested interests, leading to misleading conclusions.
Long Answer Type Questions (5-6 Marks)
Q1. Define Statistics. Explain its meaning in the singular and plural sense with examples.
Answer: Statistics is a branch of knowledge that deals with numerical data. It is studied in two senses — plural and singular.
Plural Sense: In the plural sense, Statistics means quantitative or numerical data collected in a systematic manner for a specific purpose and placed in relation to each other. For example, the figures of population of Assam during the last five censuses, the production of tea in Assam over ten years, or the marks obtained by students in a class are all examples of statistics in the plural sense. According to Horace Secrist, “By statistics we mean aggregates of facts affected to a marked extent by multiplicity of causes, numerically expressed, enumerated or estimated according to reasonable standards of accuracy, collected in a systematic manner for a pre-determined purpose and placed in relation to each other.”
Singular Sense: In the singular sense, Statistics is treated as a science or method that deals with the collection, organisation, presentation, analysis and interpretation of numerical data. According to Croxton and Cowden, “Statistics may be defined as the collection, presentation, analysis and interpretation of numerical data.” Thus, in the singular sense it refers to the techniques and methodologies used to derive meaningful conclusions from numerical data. For example, calculating the average marks of students or determining the correlation between rainfall and crop yield are uses of Statistics in the singular sense.
Q2. Explain the scope and importance of Statistics in Economics.
Answer: The scope of Statistics in Economics is extremely wide and it touches almost every branch of economic study.
(i) Consumption: Statistics helps in studying the consumption pattern of households, Engel’s law, and the proportion of income spent on different commodities. (ii) Production: It helps in measuring the volume of production, productivity of labour and capital, and changes in production over time. (iii) Distribution: Statistics is used to study the distribution of income and wealth among different sections of society, helping identify inequalities. (iv) Exchange: It helps to study price movements, demand and supply, and market behaviour. (v) Public Finance: Government revenue, expenditure, deficits and budgets are all expressed and analysed through statistics. (vi) Economic Planning: Five Year Plans, national income estimates, growth rates, inflation rates, and unemployment data are all based on statistics. (vii) Banking and Finance: Banks rely heavily on statistics for credit analysis, investment, and risk assessment.
Thus, Statistics is the eyes of an economist. As Alfred Marshall remarked, “Statistics are the straws out of which I, like every other economist, have to make bricks.” Without statistical data and tools, modern economic analysis, policy-making and forecasting would be impossible.
Q3. Explain the various stages of a statistical study.
Answer: A statistical study generally passes through the following five stages:
(i) Collection of Data: This is the first and most important stage. Data may be collected from primary sources (directly by the investigator) or from secondary sources (already published reports, government records, etc.). The accuracy of the entire study depends on accurate data collection.
(ii) Organisation of Data: The raw data collected is usually unorganised and scattered. It is edited (checking for errors), classified (grouped according to characteristics) and tabulated (arranged in rows and columns) to make it more manageable.
(iii) Presentation of Data: Organised data is presented through tables, diagrams (bar diagrams, pie charts) and graphs (histograms, frequency polygons, ogives) so that it becomes easy to understand and visually appealing.
(iv) Analysis of Data: Various statistical tools and techniques such as measures of central tendency (mean, median, mode), measures of dispersion (range, standard deviation), correlation, regression and index numbers are applied to extract meaningful information from the data.
(v) Interpretation of Data: The final stage involves drawing valid and meaningful conclusions from the analysis. Proper interpretation requires expertise; wrong interpretation can mislead policy and decision-makers.
Q4. Discuss the limitations of Statistics.
Answer: Although Statistics is a very useful science, it has the following limitations:
(i) Studies only quantitative facts: Statistics deals with numerical data only. Qualitative phenomena like beauty, honesty, intelligence and patriotism cannot be measured directly.
(ii) Studies aggregates, not individuals: Statistics is concerned with groups and averages, not with individual items. A single figure does not constitute statistics.
(iii) Results are true only on an average: Statistical conclusions are valid only on an average and in the long run. They are not absolute truths.
(iv) Liable to be misused: Statistics can be easily misused by unscrupulous persons. Selective use of figures can mislead the public.
(v) Requires expertise: Statistical methods are technical and complicated. Without proper training, results may be wrongly interpreted.
(vi) Uniformity and homogeneity: Statistics requires data that is uniform and homogeneous. Heterogeneous data can lead to misleading conclusions.
Q5. “Statistics is both a science and an art.” Explain.
Answer: Statistics is regarded as both a science and an art.
Statistics as a Science: A science is a systematised body of knowledge that studies the relationship between cause and effect. Statistics fulfils this definition because it has its own well-defined principles, methods and laws (such as the law of statistical regularity and the law of inertia of large numbers). It uses systematic procedures of collection, organisation, presentation, analysis and interpretation of data, and the results obtained are verifiable. Hence, Statistics is rightly called a science.
Statistics as an Art: An art is the application of knowledge to achieve a particular result. Statistics is also an art because the use of statistical methods requires skill, experience and judgement. Two statisticians may apply the same method to the same data and yet arrive at different conclusions because of differences in interpretation and judgement. The selection of an appropriate technique, the proper presentation of results, and the drawing of meaningful conclusions all require artistic skill.
Therefore, while Statistics is a science in respect of its methods and principles, it is an art in respect of its application. Both aspects together make Statistics a powerful tool for the study of Economics and other social sciences.
Additional Questions
Multiple Choice Questions (MCQ)
Q1. The word “Statistics” is derived from the Latin word —
(a) Statistik
(b) Statista
(c) Status
(d) Statistique
Answer: (c) Status
Q2. Statistics in the plural sense means —
(a) Numerical data
(b) Statistical methods
(c) Theory of probability
(d) None of these
Answer: (a) Numerical data
Q3. Who is known as the “Father of Modern Statistics”?
(a) Karl Pearson
(b) R.A. Fisher
(c) Adam Smith
(d) Alfred Marshall
Answer: (b) R.A. Fisher
Q4. Which of the following is NOT a stage of statistical study?
(a) Collection
(b) Presentation
(c) Imagination
(d) Interpretation
Answer: (c) Imagination
Q5. Statistics deals with —
(a) Qualitative facts only
(b) Quantitative facts only
(c) Both qualitative and quantitative facts
(d) Neither of these
Answer: (b) Quantitative facts only
Q6. The statement “Statistics are the straws out of which I, like every other economist, have to make bricks” was made by —
(a) Alfred Marshall
(b) Adam Smith
(c) J.M. Keynes
(d) Paul Samuelson
Answer: (a) Alfred Marshall
Q7. Which of the following is a limitation of Statistics?
(a) It studies aggregates
(b) It can be misused
(c) Results are true only on average
(d) All of these
Answer: (d) All of these
Q8. Statistics in the singular sense refers to —
(a) Numerical data
(b) Statistical methods
(c) A government department
(d) None of these
Answer: (b) Statistical methods
Q9. The definition “Statistics may be defined as the collection, presentation, analysis and interpretation of numerical data” was given by —
(a) Horace Secrist
(b) Croxton and Cowden
(c) A.L. Bowley
(d) R.A. Fisher
Answer: (b) Croxton and Cowden
Q10. Which is the first stage of a statistical enquiry?
(a) Presentation
(b) Collection
(c) Analysis
(d) Interpretation
Answer: (b) Collection
Fill in the Blanks
Q1. The word “Statistics” is derived from the Latin word ____________.
Answer: Status
Q2. In the plural sense, Statistics refers to ____________ data.
Answer: Numerical
Q3. The first stage of a statistical study is ____________ of data.
Answer: Collection
Q4. Statistics studies only ____________ phenomena.
Answer: Quantitative
Q5. Sir R.A. Fisher is known as the ____________ of Modern Statistics.
Answer: Father
True / False
Q1. Statistics in the singular sense means numerical data.
Answer: False. In the singular sense, Statistics means the science or methods of dealing with numerical data.
Q2. Statistical results are absolutely true for every individual case.
Answer: False. Statistical results are true only on an average and in the long run.
Q3. Statistics is both a science and an art.
Answer: True. Statistics is a science in its methods and an art in its application.
Q4. A single figure can be called statistics.
Answer: False. A single figure cannot constitute statistics; statistics requires aggregates of facts.
Q5. Statistics is widely used in Economics, business and planning.
Answer: True. Statistics is an indispensable tool in Economics, business decision-making and economic planning.
Key Terms / Glossary
| Term | Meaning |
|---|---|
| Statistics (Plural) | Aggregates of numerical facts collected systematically for a definite purpose. |
| Statistics (Singular) | The science or methods of collecting, organising, presenting, analysing and interpreting numerical data. |
| Data | Raw numerical facts and figures collected for analysis. |
| Primary Data | Data collected directly by the investigator from original sources. |
| Secondary Data | Data already collected and published by others, used for further study. |
| Collection of Data | The first stage of a statistical study where information is gathered. |
| Organisation of Data | The process of editing, classifying and tabulating raw data. |
| Presentation of Data | Displaying organised data through tables, diagrams and graphs. |
| Analysis of Data | Applying statistical tools such as averages, dispersion and correlation to data. |
| Interpretation of Data | Drawing meaningful conclusions from the analysis of data. |
| Quantitative Data | Data that can be expressed in numerical form. |
| Qualitative Data | Data based on attributes or qualities, which cannot be measured numerically. |
| Distrust of Statistics | Lack of confidence in statistics due to its possible misuse or misinterpretation. |
| Law of Statistical Regularity | A moderately large random sample drawn from a population is likely to represent the population’s characteristics. |
| Law of Inertia of Large Numbers | Larger the size of the sample, more accurate and stable the results obtained. |
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