Averages Worksheet

Q1 Calculate the mean, mode, median and range of these sets of numbers :

a)  2, 3, 5, 9, 14, 9, 6

b) 10, 6, 11, 15, 25, 10, 5

c)  24, 30, 10, 16, 32, 10, 0, 25

d) 100, 200, 150, 125, 75, 200, 300

Q2 Copy & complete this frequency chart, which shows the number of goals scored by a team in 25 matches. Then use the chart to calculate the mean number of goals scored per match.

Goals / Frequency / No. x Freq
0 / 3
1 / 8
2 / 11
3 / 3

Q3 The following data shows the number of children per family from a recent survey. Draw up a tally chart to show the data and then calculate the mean from the data. Also calculate the mode, median and range of the data.

0 1 3 2 0 4 1 1
1 0 1 1 2 4 2 2
0 1 1 3 2 3 1 1
0 1 4 2 3 1 1 2

Q4 The 7 employees at a company are paid the following wages per month:

£100, £130, £100, £90, £480, £120, £100

Calculate the mode, median and mean wage.

In this particular case, which average is the most useful in giving a new employee an idea of how much he will get paid ?

Q5 A pupil takes 5 tests and his mean score is 8. In his sixth test he only scores 2. What does his mean score fall to ? What score would he need in his seventh test to get his mean score back up to 8 ?