technifyed

Statistics and Probability + Development and Applied Economics

Compare measures of central tendency with real incomes

Show with real data why the mean and the median tell different stories about income.

  • DifficultyEasy
  • Estimated time2–7 days
  • Budget₹0
  • ClassClass 9–11
  • TeamSolo or up to 2
  • You needComputer only

Prerequisites: None beyond your class work

Original · by TechnifyedData AnalysisInvestigationBeginner friendlyFree to doComputer onlyResearch orientedTwo subjects

My projects

Overview

Show with real data why the mean and the median tell different stories about income.

Skills you will use

Choosing the right averageReading skewed data

Materials and tools

  • A public table of household income or consumption by group
  • Spreadsheet

Tools and software

Spreadsheet

Expected cost₹0Nothing to buy
Estimated duration2–7 days5 build steps, plus the report

Step-by-step roadmap

  1. Start

    You will finish with: charts and a short explanation of skew and outliers.

  2. 1

    Prerequisites

    Nothing special to know first. Then collect the 2 items in the materials list.

  3. 2

    Learn

    Read up on statistics: inequality, mean, median. Your textbook chapter and one short video are enough.

  4. 3

    Plan

    Write the research question, who or what you will study, how many, and the exact questions or measures.

  5. 4

    Build

    1. Find a published income or spending distribution.
    2. Calculate the mean and median.
    3. Draw the distribution.
    4. Add one very large value and recalculate.
    5. Explain which average a newspaper should use.
  6. 5

    Test

    Check a sample of your data by hand, and ask whether another explanation fits your findings equally well.

  7. 6

    Document

    Keep the raw responses or data safe, anonymise names, and build the tables and charts. Report structure

  8. 7

    Present

    State the question, the method in one line, the two or three main findings and their limits. Presentation structure

  9. 8

    Publish

    Share a short paper or poster; offer a summary to the people who took part.

Expected outcome

Charts and a short explanation of skew and outliers.

Other versions of this project

Advanced version

Compute a simple inequality ratio and compare two states.

Ways to do this project

Text marked "You write this" is a prompt for your own work; everything else is specific to this project.

Problem
You write thisWrite your question as: How does [what you change] affect [what you measure]?
Hypothesis
You write thisWrite it as: If [I change this], then [this will happen], because [reason].
Variables
You write thisName the one thing you change (independent), the thing you measure (dependent) and what you keep the same (controlled).

Observation table

You write thisDraw a table with one column for what you change, one for each repeat reading and one for the average.

Graph
You write thisPlot what you changed along the bottom and what you measured up the side; use a bar chart for categories and a line graph for numbers.
Results
You write thisState what the graph shows in one or two sentences, with numbers.
Conclusion
You write thisSay whether the result supports your hypothesis and why you think so.

Display board

  • Title and your name
  • Question
  • Hypothesis
  • Materials
  • Procedure (with photos)
  • Data table and graph
  • Conclusion
  • What you would do next

Questions judges ask

  • What would you change if you did this again?
  • What was your biggest source of error, and how did you reduce it?
  • Where is this idea used in real life?

Working as a team

Solo or up to 2. Suggested roles:

Research and readingData collectionAnalysisWritingPresentation

Report and presentation

Report structure

  1. Title
  2. Abstract
  3. Introduction and research question
  4. Review of what is already known
  5. Method: sample, tools, procedure
  6. Findings (tables and charts)
  7. Discussion
  8. Limitations
  9. Conclusion and suggestions
  10. References
  11. Annexure: questionnaire or data

Presentation structure

  1. Research question
  2. Why it matters
  3. Method and sample
  4. Finding 1
  5. Finding 2
  6. Finding 3
  7. What it means
  8. Limitations
  9. Conclusion

Viva questions

Prepare your own answers to these before you present.

  • What is the aim of your project, in one sentence?
  • What is the principle behind it?
  • Why did you choose these materials or tools?
  • What result did you get, and was it what you expected?
  • What went wrong and how did you fix it?
  • How could this be improved or used in real life?

Resources

Source and attribution

Original

Written by Technifyed. Free to use for your own school or college project; write the report in your own words. Added 1 Oct 2026.

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