Statistics: Finding the Median

In this worksheet, students calculate the median 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

There are several different types of averages.

An average is one number that represents a set of numbers.

The MEDIAN or the MEDIAL VALUE is simply the number, which appears right in the middle of the list once it has been place in order.

If there are an even number of numbers in the list, you must find the mean of the two middle numbers.

Example

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

Step 1     Place in order     1,  3,  3,  4,  4,  5,  5,  6,  8,  8

Step 2     The two middle numbers are 4 and 5.

We add 4 + 5 and halve the answer to get 9 ÷ 2 = 4.5

The MEDIAN is 4.5

Work out the MEDIAN of this list of numbers:

5,  8,  7,  7,  3,  5,  8,

Work out the MEDIAL value 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 MEDIAN of this list of numbers:

15,  12,  7,  17,  23,  15,  15,  17

Work out the MEDIAN of this list of numbers:

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

Work out the MEDIAN of this list of numbers:

5,  8,  7,  7,  3,  5,  8,  7

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

5½,  8,  6,  7½,  6,  5,  6,  7,  6,  8,  7½

Work out the MEDIAN of this list of numbers:

5.2,  8.4,  7.5,  7.2,  3,  5.8,  8.4,  7.4

Work out the MEDIAN of this list of numbers:

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

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

Work out the MEDIAN temperature 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 MEDIAN temperature in ºC (just write the number)

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

• Question 1

Work out the MEDIAN of this list of numbers:

5,  8,  7,  7,  3,  5,  8,

7
• Question 2

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

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

7
• Question 3

Work out the MEDIAN of this list of numbers:

15,  12,  7,  17,  23,  15,  15,  17

15
• Question 4

Work out the MEDIAN of this list of numbers:

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

145
• Question 5

Work out the MEDIAN of this list of numbers:

5,  8,  7,  7,  3,  5,  8,  7

7
• Question 6

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

5½,  8,  6,  7½,  6,  5,  6,  7,  6,  8,  7½

6
• Question 7

Work out the MEDIAN of this list of numbers:

5.2,  8.4,  7.5,  7.2,  3,  5.8,  8.4,  7.4

7.3
• Question 8

Work out the MEDIAN of this list of numbers:

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

4
• Question 9

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

Work out the MEDIAN temperature in ºC (just write the number)

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

17.5
• Question 10

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

Work out the MEDIAN temperature in ºC (just write the number)

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