Mean, Median, Mode and Range
• Introduction

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.

• Question 1

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

3,  4,  3,  5,  3,  6,  6,  5

## Column B

Median
3
Mode
4.375
Mean
4.5
Range
3
• Question 2

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

14,  15,  14,  15,  14

## Column B

Median
14
Mode
14
Mean
1
Range
14.4
• Question 3

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

4,  5,  3,  0,  5, 8, 2, 1

## Column B

Median
8
Mode
3.5
Mean
3.5
Range
5
• Question 4

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

4,  5,  6,  7,  8

## Column B

Median
6
Mode
6
Mean
none
Range
4
• Question 5

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

24,  24,  24,  24,  24

## Column B

Range
24
Median
24
Mode
24
Mean
0
• Question 6

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

4,  5,  9,  100,  4

## Column B

Median
5
Mode
24.4
Mean
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

## Column B

Median
12
Mode
4.5
Mean
7.5
Range
3
• Question 8

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

4,  -4,  0,  0

## Column B

Median
8
Mode
0
Mean
0
Range
0
• Question 9

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

4,  -4,  0, 2.5, 4.5

## Column B

Median
8.5
Mode
1.4
Mean
2.5
Range
none
• 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

Median
11.5
Mode
3.25
Mean
2.625
Range
3.5
Progress