Statistics: Finding the Range

In this worksheet, students calculate the range of a given set of data.

Key stage:  KS 2

Curriculum topic:  Statistics

Curriculum subtopic:  Calculate Average/Interpret Mean

Difficulty level:

QUESTION 1 of 10

The RANGE is not a type of average, but it is useful to know along with an average.

It simply shows how spread out the data is.

To calculate the range of a set of numbers we subtract the smallest number from the largest.

Example

Find the RANGE of this set of ten numbers:    5,  4,  8,  4,  3,  3,  8,  5,  1,  6

Step 1     The smallest number is 1 and the largest is 8.

Step 2     Subtract 8 - 1 = 7

The RANGE is 7

Note that the range is ONE number, not a span such as "from 1 to 8" or "1 - 8"

The maximum daytime temperatures in ºC on 10 British summer days were as follows.

Work out the RANGE of temperatures in ºC (just write the number)

18,  17,  19,  18,  20,  15,  17,  18,  16,  15

The maximum daytime temperatures in ºC on 10 Italian summer days were as follows.

Work out the RANGE of temperatures in ºC (just write the number)

32,  27,  32,  35,  34,  33,  36,  35,  30,  35

Work out the RANGE of this list of numbers:

5,  8,  7,  7,  3,  5,  8,

Work out the RANGE of this list of shoe sizes, taken from children in a football team:

5,  8,  7,  7,  6,  5,  6,  7,  6,  8,  7

Work out the RANGE of this list of numbers:

15,  12,  7,  17,  23,  15,  15,  17

Work out the RANGE of this list of numbers:

15,  1200,  15,  1700,  203,  105,  145

Work out the RANGE of this list of numbers:

5,  8,  7,  7,  0,  5,  8,  7

Work out the RANGE of this list of shoe sizes, taken from children in a hockey team:

5½,  8½,  6,  7½,  6,  5½,  6,  7,  6,  8,  7½

Work out the RANGE of this list of numbers:

5.2,  5.2,  5.2,  5.2,  5.2,  5.2,  5.2

Work out the RANGE of this list of numbers:

5,  8,  -7,  7,  3,  5,  -8,  7,  -3,   0,  -5,  5

• Question 1

The maximum daytime temperatures in ºC on 10 British summer days were as follows.

Work out the RANGE of temperatures in ºC (just write the number)

18,  17,  19,  18,  20,  15,  17,  18,  16,  15

5
EDDIE SAYS
20 - 15
• Question 2

The maximum daytime temperatures in ºC on 10 Italian summer days were as follows.

Work out the RANGE of temperatures in ºC (just write the number)

32,  27,  32,  35,  34,  33,  36,  35,  30,  35

9
EDDIE SAYS
36 - 27
• Question 3

Work out the RANGE of this list of numbers:

5,  8,  7,  7,  3,  5,  8,

5
• Question 4

Work out the RANGE of this list of shoe sizes, taken from children in a football team:

5,  8,  7,  7,  6,  5,  6,  7,  6,  8,  7

3
• Question 5

Work out the RANGE of this list of numbers:

15,  12,  7,  17,  23,  15,  15,  17

16
• Question 6

Work out the RANGE of this list of numbers:

15,  1200,  15,  1700,  203,  105,  145

1685
• Question 7

Work out the RANGE of this list of numbers:

5,  8,  7,  7,  0,  5,  8,  7

8
• Question 8

Work out the RANGE of this list of shoe sizes, taken from children in a hockey team:

5½,  8½,  6,  7½,  6,  5½,  6,  7,  6,  8,  7½

3
• Question 9

Work out the RANGE of this list of numbers:

5.2,  5.2,  5.2,  5.2,  5.2,  5.2,  5.2

0
• Question 10

Work out the RANGE of this list of numbers:

5,  8,  -7,  7,  3,  5,  -8,  7,  -3,   0,  -5,  5