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  1. Maths
  2. Year 9
  3. Statistics
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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:  

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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

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.

If there is no number that appears more than once, there is no mode.

If this happens, write none for the mode

 

Range

This is not an average.It is a measure of how spread out the data is.

It is the difference between the biggest number and the smallest value.

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
4.375
Mode
3
Mean
4.5
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
Mode
1
Mean
14.4
Range
14

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

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

 

4,  5,  6,  7,  8

Column A

Column B

Median
none
Mode
6
Mean
6
Range
4

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
5
Mode
24.4
Mean
4
Range
96

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
7.5
Range
12

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

 

4,  -4,  0,  0

Column A

Column B

Median
0
Mode
0
Mean
0
Range
8

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
none
Mode
2.5
Mean
8.5
Range
1.4

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
2.625
Mean
11.5
Range
3.25
  • 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
EDDIE SAYS
Mode: The most common value is 3 Median: Putting the values in order gives 3 , 3 , 3 , 4, 5 , 5 , 6 , 6. The middle number is between 4 and 5 Mean: Adding all the values gives 35, there are 8 values in the list 35 ÷ 8 = 4.375 Range: The largest - the smallest 6 - 3 = 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
EDDIE SAYS
Mode: The most common value is 14 Median: Putting the values in order gives 14 , 14 , 14 , 15 , 15. The middle number is 14 Mean: Adding all the values gives 72, there are 5 values in the list 72 ÷ 5 = 14.4 Range: The largest - the smallest 15 - 14 = 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
EDDIE SAYS
Mode: The most common value is 5 Median: Putting the values in order gives 0 , 1 , 2 , 3 , 4 , 5 , 5 , 8. The middle number is between 3 and 4 Mean: Adding all the values gives 28, there are 8 values in the list 28 ÷ 8 = 3.5 Range: The largest - the smallest 8 - 0 = 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
EDDIE SAYS
Mode: No values appear more than once Median: The numbers are already in order, the middle number is 6 Mean: Adding all the values gives 30, there are 5 values in the list 30 ÷ 5 = 6 Range: The largest - the smallest 8 - 4 = 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
EDDIE SAYS
Mode: The most common value is 24 Median: The numbers are already in order. The middle number is 24 Mean: Adding all the values gives 120, there are 5 values in the list 120 ÷ 5 = 24 Range: The largest - the smallest 24 - 24 = 0
  • 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
EDDIE SAYS
Mode: The most common value is 4 Median: Putting the values in order gives 4 , 4 , 5 , 9 , 100. The middle number is 5 Mean: Adding all the values gives 122, there are 5 values in the list 122 ÷ 5 = 24.4 Range: The largest - the smallest 100 - 4 = 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
EDDIE SAYS
Mode: The most common value is 3 Median: Putting the values in order gives 3 , 3 , 4.5 , 12 , 15. The middle number is 4.5 Mean: Adding all the values gives 37.5, there are 5 values in the list 37.5 ÷ 5 = 7.5 Range: The largest - the smallest 15 - 3 = 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
EDDIE SAYS
Mode: The most common value is 0 Median: Putting the values in order gives -4, 0 , 0 , 4. The middle number is between 0 and 0 Mean: Adding all the values gives 0, there are 4 values in the list 0 ÷ 4 = 8 Range: The largest - the smallest 4 - -4 = 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
EDDIE SAYS
Mode: There is no number that appears more than once Median: Putting the values in order gives -4 , 0 , 2.5 , 4 , 4.5. The middle number is 2.5 Mean: Adding all the values gives 7, there are 5 values in the list 7 ÷ 5 = 1.4 Range: The largest - the smallest 4.5 - -4 = 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
EDDIE SAYS
Mode: The most common value is 3.5 Median: Putting the values in order gives -4 , 0 , 0.5 , 3 , 3.5 , 3.5 , 7 , 7.5. The middle number is between 3 and 3.5 Mean: Adding all the values gives 21, there are 8 values in the list 21 ÷ 8 = 2.625 Range: The largest - the smallest 7.5 - -4 = 11.5
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