Use of Statistical Tools Class 11: How to Plan and Write an Economics Project

What Use of Statistical Tools is about

Key concepts

Step 1: identifying the problem and objectives

NCERT section 1

Start by deciding exactly what you want to find out. A vague topic ("pollution") becomes a usable question ("How much do households in our colony spend on bottled water, and does it depend on income?").

Good project questions are:

• specific: one clear issue and place;
• measurable: you can collect numbers or classify answers;
• economic: about consumption, production, prices, incomes, jobs, markets or public services;
• doable in the time you have, with a sample you can reach.

Write two or three objectives, for example: (1) find the average monthly spending; (2) see how it varies with income; (3) suggest one policy or business idea. Each objective later becomes a section of your analysis.

Step 2: choosing the target group and sample

NCERT section 1

The target group (population) is the set of people or units your study is about: households in a ward, shopkeepers in a market, farmers in a village, students in a school. The questionnaire must suit this group: a study of car buyers targets middle- and high-income families; a study of soap use targets all households.

You cannot usually survey everyone, so choose a sample (Chapter 2). Prefer random selection (lottery or random numbers from a list of households) so that results are representative; state honestly if you used a convenience sample and what bias it may cause. A school project usually needs 30-100 respondents.

Step 3: collecting data

NCERT section 1

Decide whether you need primary data (your own survey), secondary data (Census, NSS reports, RBI or ministry publications, reliable newspapers), or both.

For primary data, prepare a questionnaire following the rules of Chapter 2: short, clear, neutral questions; mostly closed-ended options; one idea per question; a brief introduction stating the purpose and promising confidentiality. Run a pilot survey on 4-5 people and fix unclear questions. Use personal interviews where respondents may not read easily; online or phone forms where they can.

For secondary data, note the source, year, definitions and units, and check that they fit your question.

Step 4: organising and presenting data

NCERT section 1

Turn questionnaire answers into tables (Chapter 3 and 4): frequency distributions for numerical answers (income, spending, family size) and counts or percentages for categories (brand used, occupation, mode of transport).

Choose diagrams that fit the data:

• bar diagrams to compare categories;
• pie diagrams for shares of a whole;
• histograms and ogives for frequency distributions;
• line graphs for changes over time (from secondary data).

Every table and diagram needs a number, a title, units, and a one-line observation below it ("Most households spend ₹100-150 a month on soap").

Step 5: analysis and interpretation with statistical tools

NCERT section 1

Use the tools of Unit 3 to answer your objectives:

• Mean, median and mode (Chapter 5) to describe typical values; the median if a few extreme values exist.
• Correlation (Chapter 6) to test relationships, such as income and spending, or advertising seen and brand chosen (Spearman for ranked opinions).
• Index numbers (Chapter 7) to show price changes, such as a simple price index of items in a local market.

For example, monthly spending on bathing soap by 60 households:

Monthly spend (₹)	Households (f)	Mid-point	d' = (m − 125) ÷ 50	fd'	c.f.
0-50	6	25	-2	-12	6
50-100	18	75	-1	-18	24
100-150	22	125	0	0	46
150-200	10	175	1	10	56
200-250	4	225	2	8	60
Total	60			-12

Mean (step deviation) = 125 + (-12 ÷ 60) × 50 = ₹115; the direct method gives the same ₹115. Median = ₹113.64.

Interpret every figure: "The average household spends about ₹115 a month on bathing soap; half spend ₹114 or less." The NCERT sample project also shows a standard deviation, but measures of dispersion are not in the 2026-27 theory syllabus, so use them only if your teacher asks.

Step 6: conclusions, suggestions and bibliography

NCERT section 1

End with conclusions that answer each objective in plain words, backed by your figures. Then give suggestions: what a business, the panchayat or the government could do, and any likely future trends.

Be honest about limitations: small or non-random sample, possible non-response or recording errors (Chapter 2), short time period.

Finish with a bibliography: every secondary source (reports, books, websites, newspapers) with title, author or agency and year. A typical report has: title page, certificate and acknowledgement, contents, introduction and objectives, methodology (target group, sample, questionnaire), data presentation, analysis, conclusions and suggestions, limitations, bibliography, and the blank questionnaire as an appendix.

Use of Statistical Tools in real life

Each concept, met in an everyday situation. Read the situation, answer the question in your own words, then compare with the model answer. The one-line hook is what to remember.

Topics in this chapter

• Analysing and Interpreting Project Data
• Steps of a Statistical Project

Use of Statistical Tools: key facts

Project steps

1. 1.Problem
2. 2.Target group
3. 3.Data collection
4. 4.Organisation and presentation
5. 5.Analysis and interpretation
6. 6.Conclusion
7. 7.Bibliography

NCERT's sequence.

Primary data tools

Questionnaire or interview schedule; personal interview, mail/online, telephone; pilot survey first

From Chapter 2.

Sampling

Random (lottery, random numbers) preferred over convenience or judgement

Reduces bias.

Presentation tools

Tables; bar, pie, histogram, ogive, line graph

Each with a title and an observation.

Analysis tools

Mean, median, mode; Karl Pearson's r and Spearman's rₛ; simple aggregative index

Interpret every result.

Mean (step deviation)

\bar{X} = A + \frac{\sum fd'}{\sum f} \times h

Quick for grouped survey data.

Report structure

1. 1.Title
2. 2.Introduction and objectives
3. 3.Methodology
4. 4.Data and diagrams
5. 5.Analysis
6. 6.Conclusions and suggestions
7. 7.Limitations
8. 8.Bibliography
9. 9.Appendix

A clear order earns marks.

Marks

Project work: 20 marks (school-assessed); theory: 80 marks

CBSE Economics 2026-27.

Tricks to remember Use of Statistical Tools

Short memory aids. Say each one aloud once, then use it on a question the same day.

• Project steps: "PTC-OAC-B"

  Problem, Target group, Collection, Organisation, Analysis, Conclusion, Bibliography: "Please Tell Children: Organise And Conclude Briefly".

  Use it when: Remembering the order of a project.

• One table, one observation

  Never leave a table or diagram without a one-line observation below it.

  Use it when: Writing the report.

• Honest limits

  "Say what you could not do": sample size, bias, time.

  Use it when: The limitations section.

Test your recall

Answer in your head or on paper first, then open the card. Pulling an answer out of memory makes it stick far better than re-reading.

1. 1.How many marks does project work carry in Class 11 Economics?Show answer

   20 marks.

2. 2.What is the first step of a project?Show answer

   Identifying the problem or area of study.

3. 3.Why is a target group important?Show answer

   It decides whom to survey and what questions suit them.

4. 4.What is a pilot survey?Show answer

   A small trial of the questionnaire before the main survey.

5. 5.Which tools help analyse survey data?Show answer

   Mean, median, mode, correlation and index numbers.

6. 6.What goes into a bibliography?Show answer

   All secondary sources used, with title, author or agency and year.

7. 7.Name two NCERT suggested project topics.Show answer

   Any two of: transport system, effect of advertisements on sales, school dropouts, overcharging above MRP, drinking water, saving habits, farming problems.

Quick revision checklist

The night before the exam: can you do each of these without looking?

• ☐Can you list the seven steps of a statistics project in order?
• ☐Can you turn a broad topic into a specific question?
• ☐Can you explain why the target group matters?
• ☐Can you design five good questionnaire questions?
• ☐Can you choose the right diagram for each kind of data?
• ☐Can you compute and interpret a mean and median from survey data?
• ☐Can you state two limitations of a school survey?
• ☐Can you list what goes in the bibliography?

Use of Statistical Tools: frequently asked questions