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Mean and Median

ICSE · Class 9 · Mathematics

Complete topic list for Mean and Median in ICSE Class 9 Mathematics. Key concepts, sub-topics, and what to focus on for board exams.

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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4 Topics · ICSE Class 9 Mathematics

Topics in Mean and Median

1

Mean of Ungrouped Data

  • Mean is the sum of all observations divided by the total number of observations.
  • Mean, arithmetic mean, and average are the same.
  • The symbol Σx stands for the sum of all observations.
2

Properties of Mean

  • The sum of deviations from the mean is zero.
  • If each observation is increased by a constant, the mean increases by the same constant.
  • If each observation is decreased by a constant, the mean decreases by the same constant.
3

Mean: Solved Examples and Short Questions

  • The mean of 7, 5, 8, p, 11 equal to 8 gives the value of p as 9.
  • For 100 observations with mean 30, correcting 32 and 12 to 23 and 11 gives correct mean 29.9.
  • If mean of 15 observations is 200 and excluding one gives mean 198 for remaining 14, the excluded observation is 228.
4

Median of Ungrouped Data

  • Median is the middle term of a data set after arranging values in order.
  • Step 1 is to arrange data in ascending or descending order.
  • Step 2 is to count the total number of observations n.

Key Concepts

Central concept: Mean and median for ungrouped data

MeanMedianUngrouped dataDeviation from meanChange in data values

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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