Cumulative Frequency & Box Plots | CIE IGCSE Maths: Extended Paper 2 2023

1

1 mark

The box-and-whisker plot gives information about the heights, in centimetres, of some plants.

cie-igcse-2020-march-p2-tz2-q14a

Write down the median.

............................................ cm

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1

4 marks

These box-and-whisker plots show the monthly electricity costs for 100 different households who use Electro company or Spark company.

cie-igcse-q24-box-plots

Tom says that the monthly costs with Electro company are lower and vary less than with Spark company.

Is Tom correct?
Justify your answer with reference to the box-and-whisker plots.

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1a

2 marks

Gemma records the times, in seconds, taken for a group of children and a group of adults to complete a puzzle.
The box-and-whisker plot shows information about the times taken for the children to complete the puzzle.

cie-igcse-2020-may-june-p2-tz1-q12

Find the interquartile range of the times taken for the children to complete the puzzle.

.................................... seconds

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1b

2 marks

The table shows some information about the times, in seconds, taken for the adults to complete the puzzle.

Minimum	Lower quartile	Median	Upper quartile	Maximum
28	42	58	70	75

On the grid above, draw the box-and-whisker plot for the adults.

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	Minutes
Shortest time	18
Lower quartile	25
Median	29
Upper quartile	33
Longest time	44

	height (cm)
least height	154
median	165
lower quartile	161
interquartile range	7
range	20

Age ( $a$ years)	Cumulative frequency
$0 < a ⩽ 20$	$25$
$0 < a ⩽ 30$	$70$
$0 < a ⩽ 40$	$138$
$0 < a ⩽ 50$	$175$
$0 < a ⩽ 60$	$186$
$0 < a ⩽ 70$	$194$
$0 < a ⩽ 80$	$200$

Time ( $t$ hours)	$0 < t \leq 2$	$2 < t \leq 4$	$4 < t \leq 6$	$6 < t \leq 8$	$8 < t \leq 10$	$10 < t \leq 12$
Frequency	20			24	12	4

CIE IGCSE Maths: Extended

Topic Questions

4.7 Cumulative Frequency & Box Plots

Least amount of money (£)	10
Greatest amount of money (£)	45
Median	25
Lower quartile	16
Upper quartile	42

Least height	133 cm
Greatest height	170 cm
Lower quartile	145 cm
Upper quartile	157 cm
Median	151 cm

Speed ( $s$ ) in km/h	Frequency
$0 < s ⩽ 20$	$2$
$20 < s ⩽ 40$	$9$
$40 < s ⩽ 60$	$23$
$60 < s ⩽ 80$	$31$
$80 < s ⩽ 100$	$27$
$100 < s ⩽ 120$	$8$