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Mean, Median, Mode and Range

In this worksheet, students find the mean, median, mode and range of the given sets of numbers.

'Mean, Median, Mode and Range' worksheet

Key stage: KS 3

Curriculum topic: Statistics

Curriculum subtopic: Understand Variables, Representation, Measures and Spread

Difficulty level:

down

Worksheet Overview

QUESTION 1 of 10

This worksheet is about the three different types of averages and the range of a set of numbers.

Averages

Mean

Sum of the values divided by the number of values there are.

Median

The middle value when you place the values in ascending order.

If there are two middle values, find the mean of these two middle values.

Mode

The most frequently occurring value or the most popular value.

Range

This is not an average.

The highest value minus the lowest value.

Work out the mean, mode, median and range of the following set of numbers:

3, 4, 3, 5, 3, 6, 6, 5

Column A	Column B
Median	3
Mode	4.5
Mean	4.375
Range	3

Work out the mean, mode, median and range of the following set of numbers:

14, 15, 14, 15, 14

Column A	Column B
Median	14.4
Mode	14
Mean	14
Range	1

Work out the mean, mode, median and range of the following set of numbers:

4, 5, 3, 0, 5, 8, 2, 1

Column A	Column B
Median	5
Mode	8
Mean	3.5
Range	3.5

Work out the mean, mode, median and range of the following set of numbers:

4, 5, 6, 7, 8

Column A	Column B
Median	4
Mode	none
Mean	6
Range	6

Work out the mean, mode, median and range of the following set of numbers:

24, 24, 24, 24, 24

Column A	Column B
Range	0
Median	24
Mode	24
Mean	24

Work out the mean, mode, median and range of the following set of numbers:

4, 5, 9, 100, 4

Column A	Column B
Median	4
Mode	24.4
Mean	96
Range	5

Work out the mean, mode, median and range of the following set of numbers:

3, 15, 3, 12, 4.5

Column A	Column B
Median	3
Mode	12
Mean	7.5
Range	4.5

Work out the mean, mode, median and range of the following set of numbers:

4, -4, 0, 0

Column A	Column B
Median	8
Mode	0
Mean	0
Range	0

Work out the mean, mode, median and range of the following set of numbers:

4, -4, 0, 2.5, 4.5

Column A	Column B
Median	8.5
Mode	none
Mean	1.4
Range	2.5

Work out the mean, mode, median and range of the following set of numbers:

3.5, -4, 0, 3, 3.5, 7, 7.5, 0.5

Column A	Column B
Median	3.5
Mode	3.25
Mean	11.5
Range	2.625

ANSWERS

Question 1

Work out the mean, mode, median and range of the following set of numbers:

3, 4, 3, 5, 3, 6, 6, 5

CORRECT ANSWER

Column A	Column B
Median	4.5
Mode	3
Mean	4.375
Range	3

ANSWERS

Question 2

Work out the mean, mode, median and range of the following set of numbers:

14, 15, 14, 15, 14

CORRECT ANSWER

Column A	Column B
Median	14
Mode	14
Mean	14.4
Range	1

ANSWERS

Question 3

Work out the mean, mode, median and range of the following set of numbers:

4, 5, 3, 0, 5, 8, 2, 1

CORRECT ANSWER

Column A	Column B
Median	3.5
Mode	5
Mean	3.5
Range	8

ANSWERS

Question 4

Work out the mean, mode, median and range of the following set of numbers:

4, 5, 6, 7, 8

CORRECT ANSWER

Column A	Column B
Median	6
Mode	none
Mean	6
Range	4

ANSWERS

Question 5

Work out the mean, mode, median and range of the following set of numbers:

24, 24, 24, 24, 24

CORRECT ANSWER

Column A	Column B
Range	0
Median	24
Mode	24
Mean	24

ANSWERS

Question 6

Work out the mean, mode, median and range of the following set of numbers:

4, 5, 9, 100, 4

CORRECT ANSWER

Column A	Column B
Median	5
Mode	4
Mean	24.4
Range	96

ANSWERS

Question 7

Work out the mean, mode, median and range of the following set of numbers:

3, 15, 3, 12, 4.5

CORRECT ANSWER

Column A	Column B
Median	4.5
Mode	3
Mean	7.5
Range	12

ANSWERS

Question 8

Work out the mean, mode, median and range of the following set of numbers:

4, -4, 0, 0

CORRECT ANSWER

Column A	Column B
Median	0
Mode	0
Mean	0
Range	8

ANSWERS

Question 9

Work out the mean, mode, median and range of the following set of numbers:

4, -4, 0, 2.5, 4.5

CORRECT ANSWER

Column A	Column B
Median	2.5
Mode	none
Mean	1.4
Range	8.5

ANSWERS

Question 10

Work out the mean, mode, median and range of the following set of numbers:

3.5, -4, 0, 3, 3.5, 7, 7.5, 0.5

CORRECT ANSWER

Column A	Column B
Median	3.25
Mode	3.5
Mean	2.625
Range	11.5

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