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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
  • 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
  • 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
  • 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
  • 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
  • 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
  • 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
  • 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
  • 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
  • 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
  • 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
---- OR ----

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