📊 Class 7 · Data handling

Mean, Median and Mode for Class 7: notes, worked examples and practice

Mean, median and mode are three ways to describe the 'middle' of a set of numbers. Each tells you something different about the data.

Updated 21 October 2026. Every worked example and answer on this page is checked by automated tests.

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Notes

Mean, Median and Mode: what you need to know

Chapter names and order differ by board and textbook edition, so follow your own textbook for the order.

Mean

The mean (average) is the sum of all values divided by how many values there are.

Median

Arrange the values in order. The median is the middle value. If there are two middle values, the median is their mean.

Mode

The mode is the value that occurs most often. A data set can have more than one mode or none.

Range

The range is the largest value minus the smallest. It tells you how spread out the data is.

Which to use

The mean uses every value, but a very large or small value can pull it. The median is not affected by such values, so it is useful for incomes and house prices. The mode is useful for the most common size or choice.

Formulas and rules to remember

Mean = sum of values ÷ number of values
Median: sort, then take the middle (or average the two middle values)
Range = largest − smallest

Solved examples

Example 1

Find the mean of 12, 15, 18, 20 and 25.

Sum = 12 + 15 + 18 + 20 + 25 = 90.
Mean = 90 ÷ 5 = 18.

Answer: 18

Example 2

Find the median of 7, 3, 9, 5, 11.

Sort: 3, 5, 7, 9, 11.
The middle value is 7.

Answer: 7

Example 3

Find the median of 4, 8, 10, 12.

The data is already sorted and has 4 values.
The middle two are 8 and 10.
Median = (8 + 10) ÷ 2 = 9.

Answer: 9

Example 4

Find the mode of 2, 3, 3, 5, 3, 7, 5.

3 appears three times, 5 appears twice and the rest once.
The mode is 3.

Answer: 3

Avoid these

Common mistakes

Not sorting before finding the median

The median is the middle of the ordered list, not of the list as written.

Dividing by the wrong count

For the mean, divide by how many values there are, including repeated ones.

Saying there is no mode when two values tie

If two values occur equally often and most often, both are modes.

10 practice questions with answers

Try each question on paper first, then tap it to check your answer. The questions are generated by code and each answer is checked.

Find the median of 27, 9, 9, 14, 8:
Answer: 9
Find the median of 5, 5, 24, 10, 13:
Answer: 10
Find the median of 11, 5, 28, 23, 6:
Answer: 11
Find the median of 21, 19, 5, 21, 16:
Answer: 19
Find the median of 3, 18, 19, 14, 7:
Answer: 14
Find the median of 1, 26, 11, 26, 19:
Answer: 19
Find the median of 22, 27, 25, 20, 1:
Answer: 22
Find the median of 17, 25, 3, 10, 28:
Answer: 17
Find the median of 17, 3, 10, 2, 27:
Answer: 10
Find the median of 27, 3, 28, 13, 24:
Answer: 24

More practice

Printable worksheets (PDF with answers)

Mean, median and mode (Grade 5)

Games and lessons

Maths dictionary

Mean, median & mode calculator

Mean, median, mode, range, quartiles and standard deviation for any list of numbers, such as marks, prices, runs or temperatures.

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FAQ

Mean, Median and Mode Class 7: questions students ask

What is the difference between mean, median and mode?

The mean is the average, the median is the middle value and the mode is the most frequent value.

How do I find the median of an even number of values?

Sort the values and take the average of the two middle ones.

Can a data set have two modes?

Yes. If two values tie for the highest frequency, both are modes.

When is the median better than the mean?

When the data has a few very large or very small values, because the median is not pulled by them.

Which board is this mean, median and mode page for?

It covers the ideas taught in CBSE, ICSE and state-board maths. Chapter names and order differ by board and textbook edition, so follow your own textbook for the exact order.

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