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Chapter Summary

Mean and Median

ICSE · Class 9 · Mathematics

Summary of Mean and Median for ICSE Class 9 Mathematics. Key concepts, important points, and chapter overview.

41 questions22 flashcards5 concepts

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An illustration showing the formula for calculating the mean of ungrouped data, with an example set of numbers and their sum and count.
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Overview

Mean and median are measures used to describe a set of ungrouped data. Mean gives the average value of the data, while median gives the middle value after arranging the data in order. Mean is found by adding all observations and dividing by the number of observations. Median depends on the position

Key Concepts

Mean is the sum of all

Mean is the sum of all observations divided by the total number of observations. It is also called arithmetic mean or average. For n observations x1,

Σxi means the sum of all

Σxi means the sum of all observations x1, x2, x3, ..., xn. It is a short way of writing the total of all values used in mean calculation.

The sum of deviations of all

The sum of deviations of all observations from their mean is zero: Σ(x−x̄)=0.

If each observation is increased by

If each observation is increased by a quantity a, then the mean also increases by a. Mean of x1+a, x2+a, ..., xn+a = x̄+a.

If each observation is decreased by

If each observation is decreased by a quantity a, then the mean also decreases by a. Mean of x1−a, x2−a, ..., xn−a = x̄−a.

Learning Objectives

  • Understand the meaning of mean and median for ungrouped data
  • Use the formula for mean of n observations
  • Apply the properties of mean when all observations are increased, decreased, multiplied, or divided by the same number
  • Find the median of data sets with odd and even numbers of observations
  • Solve simple problems involving correction of a wrong observation in mean

Frequently Asked Questions

What are the important topics in Mean and Median for ICSE Class 9 Mathematics?
Mean and Median covers several key topics that are frequently asked in ICSE Class 9 board exams. Focus on the core concepts listed on this page and practise related questions to build confidence.
How to score full marks in Mean and Median — ICSE Class 9 Mathematics?
Understand the core concepts first, then work through the 41 practice questions available for this chapter. Revise formulas and definitions regularly, and use flashcards for quick recall before the exam.

Sources & Official References

Content is aligned to the official syllabus. Refer to the board website for the latest curriculum.

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