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9709 S1 · Notes & worked examples

The range · Short practice

Check a final answer, then explain the reasoning on paper. Guest progress stays in this browser; an account saves future checks without overwriting your first result.

Recall

Data summaries — objective 1

Maths4U Original · Short practice

The complete data set, measured in minutes, is \(16,17,17,18,19,20,20,21,23\). Treat these nine observations as a population.

StemLeaf
16 7 7 8 9
20 0 1 3

Key: 2 | 7 represents 27 minutes.

Find the mean in minutes.

Enter one number or fraction. Use at least six decimal places when needed; a distribution calculator may be used for probabilities.

Fresh review variant

Data summaries — objective 1

Maths4U Original · Short practice

The complete data set, measured in minutes, is \(17,19,19,21,23,25,25,27,31\). Treat these nine observations as a population.

StemLeaf
17 9 9
21 3 5 5 7
31

Key: 2 | 7 represents 27 minutes.

Find the mean in minutes.

Enter one number or fraction. Use at least six decimal places when needed; a distribution calculator may be used for probabilities.

Method

Data summaries — objective 2

Maths4U Original · Short practice

The complete data set, measured in minutes, is \(17,19,19,21,23,25,25,27,31\). Treat these nine observations as a population.

StemLeaf
17 9 9
21 3 5 5 7
31

Key: 2 | 7 represents 27 minutes.

Find the population variance in square minutes.

Enter one number or fraction. Use at least six decimal places when needed; a distribution calculator may be used for probabilities.

Fresh review variant

Data summaries — objective 2

Maths4U Original · Short practice

The complete data set, measured in minutes, is \(18,21,21,24,27,30,30,33,39\). Treat these nine observations as a population.

StemLeaf
18
21 1 4 7
30 0 3 9

Key: 2 | 7 represents 27 minutes.

Find the population variance in square minutes.

Enter one number or fraction. Use at least six decimal places when needed; a distribution calculator may be used for probabilities.

Apply

Data summaries — objective 3

Maths4U Original · Short practice

The complete data set, measured in minutes, is \(18,21,21,24,27,30,30,33,39\). Treat these nine observations as a population.

StemLeaf
18
21 1 4 7
30 0 3 9

Key: 2 | 7 represents 27 minutes.

Find the median in minutes.

Enter one number or fraction. Use at least six decimal places when needed; a distribution calculator may be used for probabilities.

Fresh review variant

Data summaries — objective 3

Maths4U Original · Short practice

The complete data set, measured in minutes, is \(19,23,23,27,31,35,35,39,47\). Treat these nine observations as a population.

StemLeaf
19
23 3 7
31 5 5 9
47

Key: 2 | 7 represents 27 minutes.

Find the median in minutes.

Enter one number or fraction. Use at least six decimal places when needed; a distribution calculator may be used for probabilities.

Check understanding

Data summaries — objective 4

Maths4U Original · Short practice

The complete data set, measured in minutes, is \(19,23,23,27,31,35,35,39,47\). Treat these nine observations as a population.

StemLeaf
19
23 3 7
31 5 5 9
47

Key: 2 | 7 represents 27 minutes.

Find the range in minutes.

Enter one number or fraction. Use at least six decimal places when needed; a distribution calculator may be used for probabilities.

Fresh review variant

Data summaries — objective 4

Maths4U Original · Short practice

The complete data set, measured in minutes, is \(20,21,21,22,23,24,24,25,27\). Treat these nine observations as a population.

StemLeaf
20 1 1 2 3 4 4 5 7

Key: 2 | 7 represents 27 minutes.

Find the range in minutes.

Enter one number or fraction. Use at least six decimal places when needed; a distribution calculator may be used for probabilities.

Try written exam-style problems →