Representation of continuous data: histograms · Short practice

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Recall

Histograms and grouped estimates — objective 1

Maths4U Original · Short practice

Measurements of duration t, in seconds, are grouped below.

Class (seconds)	Frequency
\(0\le t<5\)	16
\(5\le t<15\)	29
\(15\le t<30\)	42

Find the frequency density of the middle class.

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

Fresh review variant

Histograms and grouped estimates — objective 1

Maths4U Original · Short practice

Measurements of duration t, in seconds, are grouped below.

Class (seconds)	Frequency
\(0\le t<2\)	17
\(2\le t<6\)	31
\(6\le t<12\)	45

Find the frequency density of the middle class.

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

Method

Histograms and grouped estimates — objective 2

Maths4U Original · Short practice

Measurements of duration t, in seconds, are grouped below.

Class (seconds)	Frequency
\(0\le t<2\)	17
\(2\le t<6\)	31
\(6\le t<12\)	45

Estimate the mean duration in seconds.

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

Fresh review variant

Histograms and grouped estimates — objective 2

Maths4U Original · Short practice

Measurements of duration t, in seconds, are grouped below.

Class (seconds)	Frequency
\(0\le t<3\)	18
\(3\le t<9\)	33
\(9\le t<18\)	48

Estimate the mean duration in seconds.

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

Apply

Histograms and grouped estimates — objective 3

Maths4U Original · Short practice

Measurements of duration t, in seconds, are grouped below.

Class (seconds)	Frequency
\(0\le t<3\)	18
\(3\le t<9\)	33
\(9\le t<18\)	48

Estimate the variance in square seconds.

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

Fresh review variant

Histograms and grouped estimates — objective 3

Maths4U Original · Short practice

Measurements of duration t, in seconds, are grouped below.

Class (seconds)	Frequency
\(0\le t<4\)	19
\(4\le t<12\)	35
\(12\le t<24\)	51

Estimate the variance in square seconds.

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

Check understanding

Histograms and grouped estimates — objective 4

Maths4U Original · Short practice

Measurements of duration t, in seconds, are grouped below.

Class (seconds)	Frequency
\(0\le t<4\)	19
\(4\le t<12\)	35
\(12\le t<24\)	51

Find the number of observations with t below the last class boundary before the final class.

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

Fresh review variant

Histograms and grouped estimates — objective 4

Maths4U Original · Short practice

Measurements of duration t, in seconds, are grouped below.

Class (seconds)	Frequency
\(0\le t<5\)	20
\(5\le t<15\)	37
\(15\le t<30\)	54

Find the number of observations with t below the last class boundary before the final class.

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

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