Mean, Median, Mode and Range
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  • Introduction
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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 occuring value or the most popular value.

 

Range

This is not an average.

The highest value minus the lowest value.

  • Question 1
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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
3
Mean
4.375
Range
4.5
  • Question 2
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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
  • Question 3
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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
8
Mode
5
Mean
3.5
Range
3.5
  • Question 4
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Work out the mean, mode, median and range of the following set of numbers:

 

4,  5,  6,  7,  8

Column A

Column B

Median
6
Mode
4
Mean
none
Range
6
  • Question 5
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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
  • Question 6
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Work out the mean, mode, median and range of the following set of numbers:

 

4,  5,  9,  100,  4

Column A

Column B

Median
24.4
Mode
5
Mean
96
Range
4
  • Question 7
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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
4.5
Mode
3
Mean
12
Range
7.5
  • Question 8
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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
  • Question 9
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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
2.5
Mean
none
Range
1.4
  • Question 10
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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
2.625
Mode
3.5
Mean
11.5
Range
3.25
Progress