Averages & Range | CIE IGCSE Maths: Extended Paper 2 2023

1a

1 mark

The mass, correct to the nearest kilogram, of each of 11 parcels is shown below.

24, 23, 23, 26, 25, 27, 18, 96, 16, 17, 32

Find the mode.

............................................... kg

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1b

1 mark

Give a reason why the mean would be an unsuitable average to use.

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1

4 marks

The table shows information about the times, $t$ seconds, taken by each of 100 students to solve a puzzle.

Time ( $t$ s)	$0 < t \leq 10$	$10 < t \leq 15$	$15 < t \leq 20$	$20 < t \leq 40$	$40 < t \leq 75$
Frequency	$9$	$18$	$22$	$30$	$21$

Calculate an estimate of the mean time.

............................................... s

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1

3 marks

The table shows the marks scored by 40 students in a test.

Mark	5	6	7	8	9	10
Frequency	8	5	11	7	5	4

Calculate the mean mark.

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CIE IGCSE Maths: Extended

Time ( $t$ minutes)	$0 < t \leq 10$	$10 < t \leq 15$	$15 < t \leq 20$	$20 < t \leq 40$
Frequency	7	19	$16$	$8$

Amount ( $$ x$ )	$0 < x \leq 20$	$20 < x \leq 25$	$25 < x \leq 35$	$35 < x \leq 50$	$50 < x \leq 100$
Frequency	$21$	$16$	$6$	$10$	$7$

Number of cinema visits	0	1	2	3	4	5	6	7
Frequency	5	6	6	6	7	3	6	2