Averages worksheet
5 GCSE practice questions with answers, free to print. Every sheet is generated, so you can make a fresh one whenever you need it.
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3 marks
Five pupils each recorded how many minutes they spent reading. Here are four of the five values.
\(31,\ 21,\ 8,\ 15\)
The fifth value, which is the largest of the five, has been rubbed out.
The range of all five values is \(32\) minutes.
(a)Find the value that has been rubbed out.
(b)Find the mean of the five values.
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3 marks
Noah writes down six numbers. The mean of the six numbers is 9.
Five of the numbers are
\(3,\ 3,\ 9,\ 9,\ 20\)
Calculate the sixth number.
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3 marks
There are \(16\) players in Team A and \(24\) players in Team B.
The mean number of points scored by the players in Team A is \(18\).
The mean number of points scored by the players in Team B is \(28\).
Find the mean number of points scored by all \(40\) players.
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5 marks
{ctx}
\({shown:mathlist}\)
(a){ask} the mean and the range for {ga}.
(b)For {gb} the mean is \({meanb}\) {unit} and the range is \({rangeb}\) {unit}.
Compare the two sets of results.
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4 marks
Hafsa records the scores, in points, for 9 rounds of a quiz.
The mean is \(29\) points.
(a)Find the total of all 9 values.
(b)One of the values, \(19\), is found to be wrong. It should have been \(10\).
Find the correct mean.
Answers
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(a) \(40\ \text{minutes}\)
(b) \(23\ \text{minutes}\) - \(10\)
- \(24\ \text{points}\)
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(a) mean \({avg:dec}\) {unit}, range \({spread}\) {unit}
(b) The mean for {ga} is {meanword} at \({avg:dec}\) against \({meanb}\), and {ga} is {rangeword} — a range of \({spread}\) against \({rangeb}\). -
(a) \(261\ \text{points}\)
(b) \(28\ \text{points}\)