[PDF] Cumulative Frequency Answers - MME




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[PDF] Cumulative Frequency - Maths Genie

Check your answers if you have time at the end mathsgenie co uk Page 2 1 The cumulative frequency table shows the height, in cm, of some tomato plants

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[PDF] Cumulative Frequency Answers - MME

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[PDF] Cumulative-Frequency Questions - MME

Starting with the smallest value, give the first two coordinates Pete will plot [2 marks] Answer and Turn over for next question Turn over ? 4

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[PDF] Cumulative Frequency Answers - MME 69463_3Cumulative_Frequency_Answers_MME.pdf

Cumulative Frequency Mark Scheme

1(a) [1] Three correctly summed values [1] All correct values

1(b)ሺʹǡ͸ሻ

[1] ݔ-coordinate -highest value of the respective group and coordinate should be the cumulative frequency found in part (a) ሺͶǡͳͻሻ[1] 2

All coordinates plotted correctly[1]

Smooth curve passing through all points[1]

Starting from Ͳ[1]

Turn over Ź

Delay (mins)Frequency Cumulative

Frequency

Ͳ൏ݐ൑ʹ͸͸

ʹ൏ݐ൑Ͷͳ͵ͳͻ

Ͷ൏ݐ൑͸͵Ͷͷ͵

͸൏ݐ൑ͺͳͻ͹ʹ

ͺ൏ݐ൑ͳͲͳ͵ͺͷ

ͳͲ൏ݐ൑ͳʹͷͻͲ

Time, ܶ

Cumulative

frequency 10 050
ݕ ݔ

100150200250300

0 20 30
40
50
60
70
80
90

3(a)͉͵ͶͲേͷ[1] line drawn across and down

from CF ൌͷͲ

3(b)͉ʹ͸Ͳേͷ[1] line drawn across and down

from CF ൌʹͷ

3(c)͉ͶͲͲേͷ[1] line drawn across and down

from CF ൌ͹ͷ

3(d)͉ͳͶͲേͳͲ[1] Value found in part (c) (b)

3(e)Draw up from ͉ͷͲͲ. Intersect graph at ͻͶ[1]

͸people spent over ͉ͷͲͲ[1]

4(a)[1] Cumulative frequency values

calculated [1] Cumulative frequency plotted against Upper bound of group [1] Smooth curve

Turn over Ź

Time taken

()Frequency CF

Ͳ൏ݐ൑ʹͲʹʹ

ʹͲ൏ݐ൑͵ͲͳʹͳͶ

͵Ͳ൏ݐ൑ͶͲʹ͵͵͹

4Ͳ൏ݐ൑ͷͲ͵Ͳ͸͹

ͷͲ൏ݐ൑͸ͲͳͶͺͳ

͸Ͳ൏ݐ൑͹Ͳͷͺ͸

͹Ͳ൏ݐ൑ͻͲͶͻͲ

Time taken, ܶ

Cumulative Frequency

10 010 ݕ ݔ

2030405060

0 20 30
40
50
60
70
80
90
100

708090

4(b)

Lower quartile ൌ͵Ͷേʹ

Upper quartile ൌͷͲേʹ[1]

Inter quartile range= ͳ͸േͶ[1]

4(c) Line drawn up from Ͷͷminutes, intersecting curve. (Shown above)[1]

Ͷ͵േʹ[1]

Turn over Ź

Time taken, ܶ

Cumulative Frequency

10 010 ݕ ݔ

2030405060

0 20 30
40
50
60
70
80
90
100

708090

Time taken, ܶ

Cumulative Frequency

10 010 ݕ ݔ

2030405060

0 20 30
40
50
60
70
80
90
100

708090

5(a)ͺ͵െ͵ͳ[1]

ͷʹሺേʹሻ[1]

5(b)[1] Median compared

[1] IQR compared

6(a)Graham has used straight lines to join the points

rather then a smooth curve. [1] Graham plotted the data at the start of each interval instead of the mid-point.[1] Graham only plotted the cumulative frequency up to

94 instead of 100. [1]

6(b)

Upper of the group plotted against cumulative

frequency [1] All points plotted correctly.

Smooth curve through all points. [1]

END

Age in Years

Cumulative

Frequency

10 010 ݕ

ݔ20304050600

20 30
40
50
60
70
80
90
100

708090

Amount spent (£)

Cumulative

Frequency

10 010 ݕ

ݔ20304050600

20 30
40
50
60
70
80
90
100

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