Practise questions · Salam Academy

SA-9709-P5-DR-0042 marksL1 FoundationCalculatorHistograms

Using the data in the previous question, find the frequency densities for the classes

10\le t<20

and

30\le t<50

.

Salam Academy Original Practice · Proposed mark scheme

SA-9709-P5-DR-0051 markL1 FoundationCalculatorHistograms

On a histogram, the bar for the class

15\le x<20

has height (frequency density)

3.2

. How many values are in this class?

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SA-9709-P5-DR-0131 markL1 FoundationCalculatorHistograms

In a histogram, what does the area of each bar represent?

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SA-9709-P5-DR2-0011 markL1 FoundationCalculatorHistograms

The class

20\le x<25

has frequency

30

. Find its frequency density.

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SA-9709-P5-DR2-0032 marksL1 FoundationCalculatorHistograms

Heights are measured to the nearest centimetre. For the class labelled

150

–

159

, find the lower and upper class boundaries.

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SA-9709-P5-DR2-0071 markL1 FoundationCalculatorCumulative frequency

On a cumulative frequency graph, each cumulative frequency is plotted against

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SA-9709-P5-DR-Q031 markL1 FoundationCalculatorHistograms

Frequency density is

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SA-9709-P5-DR-0083 marksL2 StandardCalculatorCumulative frequency

For

80

students, the cumulative frequencies of times

t

(minutes) are:

t<10

:

12

;

t<20

:

30

;

t<30

:

58

;

t<40

:

74

;

t<50

:

80

. Use linear interpolation to estimate the median time, to 3 significant figures.

Salam Academy Original Practice · Proposed mark scheme

SA-9709-P5-DR-0122 marksL2 StandardCalculatorHistograms

Marks are whole numbers. The class

10

–

19

contains

25

students. Find the frequency density for this class.

Salam Academy Original Practice · Proposed mark scheme

SA-9709-P5-DR2-0022 marksL2 StandardCalculatorHistograms

A histogram has bars over

0\le x<10

with frequency density

1.5

,

10\le x<15

with density

4

, and

15\le x<30

with density

2

. Find the total frequency.

Salam Academy Original Practice · Proposed mark scheme

SA-9709-P5-DR2-0043 marksL2 StandardCalculatorCumulative frequency

For

60

values:

x<10

:

6

;

x<20

:

20

;

x<30

:

42

;

x<40

:

55

;

x<50

:

60

(cumulative frequencies). Use linear interpolation to estimate the median, correct to 3 significant figures.

Salam Academy Original Practice · Proposed mark scheme

SA-9709-P5-DR2-0052 marksL2 StandardCalculatorCumulative frequency

Using the same cumulative frequencies (

x<20

:

20

;

x<30

:

42

), estimate how many values are less than

25

.

Salam Academy Original Practice · Proposed mark scheme

SA-9709-P5-DR2-0064 marksL3 ExamCalculatorCumulative frequency

For the same

60

values (

x<10

:

6

;

x<20

:

20

;

x<30

:

42

;

x<40

:

55

;

x<50

:

60

), use linear interpolation to estimate the interquartile range, correct to 3 significant figures.

Salam Academy Original Practice · Proposed mark scheme

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