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Statistics: Mean, Median, Mode and Range (1)

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

'Statistics: Mean, Median, Mode and Range (1)' worksheet

Key stage:  KS 2

Curriculum topic:  Maths and Numerical Reasoning

Curriculum subtopic:  Mean, Median, Mode and Range

Difficulty level:  

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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

Add the values and divide this total by the number of values there are.

 

Median

Find 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

Find the most frequently occurring value or the most popular value.

 

Range

This is not an average.

Subtract the smallest value from the largest.  This is the range.

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

 

3,  5,  3,  10,  4

Column A

Column B

Mean
5
Mode
3
Median
4
Range
7

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

 

3,  5,  3,  100,  4

Column A

Column B

Mean
4
Mode
97
Median
3
Range
23

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

 

4,  5,  3,  0,  5

Column A

Column B

Mean
5
Mode
3.4
Median
5
Range
4

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

 

4,  5,  4,  5,  4

Column A

Column B

Mean
4.4
Mode
4
Median
1
Range
4

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

 

4,  4,  4,  4,  4

Column A

Column B

Mean
4
Mode
4
Median
4
Range
0

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

 

4,  5,  6,  7,  8

Column A

Column B

Mean
6
Mode
4
Median
none
Range
6

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

 

4,  4,  6,  7,  4,  -4,  0

Column A

Column B

Mean
3
Mode
11
Median
4
Range
4

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

 

4,  -4,  0

Column A

Column B

Mean
8
Mode
0
Median
0
Range
none

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

 

4,  -4,  0,  0

Column A

Column B

Mean
0
Mode
8
Median
0
Range
0

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

 

3,  3,  4,  5,  3,  6,  5,  6

Column A

Column B

Mean
4.5
Mode
3
Median
3
Range
4.375
  • Question 1

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

 

3,  5,  3,  10,  4

CORRECT ANSWER

Column A

Column B

Mean
5
Mode
3
Median
4
Range
7
EDDIE SAYS
Total = 25
Mean = 25 ÷ 5 = 5
Mode = 3 because it occurs most often
Median = middle value 4
Range = largest - smallest = 10 - 3 = 7
  • Question 2

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

 

3,  5,  3,  100,  4

CORRECT ANSWER

Column A

Column B

Mean
23
Mode
3
Median
4
Range
97
EDDIE SAYS
Total = 115
Mean = 115 ÷ 5 = 23
Mode = 3 because it occurs most often
Median = middle value 4
Range = largest - smallest = 100 - 3 = 97
  • Question 3

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

 

4,  5,  3,  0,  5

CORRECT ANSWER

Column A

Column B

Mean
3.4
Mode
5
Median
4
Range
5
EDDIE SAYS
Total = 17
Mean = 17 ÷ 5 = 3.4
Mode = 5 because it occurs most often
Median = middle value 4
Range = largest - smallest = 5 - 0 = 5
  • Question 4

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

 

4,  5,  4,  5,  4

CORRECT ANSWER

Column A

Column B

Mean
4.4
Mode
4
Median
4
Range
1
EDDIE SAYS
Total = 22
Mean = 22 ÷ 5 = 4.4
Mode = 4 because it occurs most often
Median = middle value 4
Range = largest - smallest = 5 - 4 = 1
  • Question 5

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

 

4,  4,  4,  4,  4

CORRECT ANSWER

Column A

Column B

Mean
4
Mode
4
Median
4
Range
0
EDDIE SAYS
Total = 20
Mean = 20 ÷ 5 = 4
Mode = 4 because it occurs most often
Median = middle value 4
Range = largest - smallest = 4 - 4 = 0
  • Question 6

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

Mean
6
Mode
none
Median
6
Range
4
EDDIE SAYS
Total = 30
Mean = 30 ÷ 5 = 6
Mode = none because they all occur once
Median = middle value 6
Range = largest - smallest = 8 - 4 = 4
  • Question 7

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

 

4,  4,  6,  7,  4,  -4,  0

CORRECT ANSWER

Column A

Column B

Mean
3
Mode
4
Median
4
Range
11
EDDIE SAYS
Total = 21
Mean = 21 ÷ 7 = 3
Mode = 4 because it occurs most often
Median = middle value 4
Range = largest - smallest = 7 - -4 = 7 + 4 = 11
  • Question 8

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

 

4,  -4,  0

CORRECT ANSWER

Column A

Column B

Mean
0
Mode
none
Median
0
Range
8
EDDIE SAYS
Total = 0
Mean = 0 ÷ 3 = 0
Mode = none because they each occur once
Median = middle value 0
Range = largest - smallest = 4 - -4 = 4 + 4 = 8
  • Question 9

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

 

4,  -4,  0,  0

CORRECT ANSWER

Column A

Column B

Mean
0
Mode
0
Median
0
Range
8
EDDIE SAYS
Total = 0
Mean = 0 ÷ 4 = 0
Mode = 0 because it occurs most often
Median = mean of the middle values 0 and 0
Range = largest - smallest = 4 - -4 = 4 + 4 = 8
  • Question 10

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

 

3,  3,  4,  5,  3,  6,  5,  6

CORRECT ANSWER

Column A

Column B

Mean
4.375
Mode
3
Median
4.5
Range
3
EDDIE SAYS
Total = 35
Mean = 35 ÷ 8 = 4.375
Mode = 3 because it occurs most often
Median = mean of the middle values 4 and 5
Range = largest - smallest = 6 - 3 = 3
---- OR ----

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