Averages & Range | Cambridge O Level Maths Calculator Questions 2025

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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1

3 marks

The students in Class A and in Class B take the same examination.

The lowest score in Class A is 39
The range of scores for Class A is 57
The lowest score in Class B is 33
The range of scores for Class B is 60

Find the range of scores for all the students in both classes.

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1

4 marks

The height, $h$ cm, of each of 100 students is measured.
The table shows the results.

Height ( $h$ cm)	100 < $h$ ⩽ 150	150 < $h$ ⩽ 160	160 < $h$ ⩽ 165	165 < $h$ ⩽ 185
Frequency	7	30	41	22

Calculate an estimate of the mean.

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

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Speed ( $v$ km/h)	$0 < v \leq 20$	$20 < v \leq 40$	$40 < v \leq 45$	$45 < v \leq 50$	$50 < v \leq 60$	$60 < v \leq 80$
Frequency	$16$	$34$	$62$	$58$	$26$	$4$

Time ( $t$ seconds)	$20 < t \leq 30$	$30 < t \leq 35$	$35 < t \leq 40$	$40 < t \leq 60$	$60 < t \leq 100$
Frequency	38	27	21	16	18

Mass ( $p$ grams)	$0 < p \leq 50$	$50 < p \leq 100$	$100 < p \leq 125$	$125 < p \leq 150$	$150 < p \leq 200$
Frequency	$2$	$5$	$4$	$6$	$3$

Height ( $h$ cm)	$60 < h \leq 70$	$70 < h \leq 90$	$90 < h \leq 100$	$100 < h \leq 110$	$110 < h \leq 115$	$115 < h \leq 125$
Frequency	8	26	35	67	28	16

Averages & Range (Cambridge O Level Maths)

Topic Questions

Time (T minutes)	Number of people
$10 < T \leq 30$	16
$30 < T \leq 40$	18
$40 < T \leq 45$	22
$45 < T \leq 50$	40
$50 < T \leq 60$	21
$60 < T \leq 70$	3

Mass ( $x$ tonnes)	$100 < x \leq 200$	$200 < x \leq 250$	$250 < x \leq 300$	$300 < x \leq 500$
Frequency	8	20	12	12

Time ( $t$ minutes)	$20 < t \leq 25$	$25 < t \leq 30$	$30 < t \leq 35$	$35 < t \leq 40$	$40 < t \leq 45$
Frequency	$44$	$32$	$28$	$12$	$4$

Height, h cm	$0 < h \leq 10$	$10 < h \leq 20$	$20 < h \leq 30$	$30 < h \leq 50$
Frequency	2	18	62	38

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

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

Time taken (m minutes)	Frequency
$0 < m ⩽ 10$	$3$
$10 < m ⩽ 20$	$8$
$20 < m ⩽ 30$	$11$
$30 < m ⩽ 40$	$9$
$40 < m ⩽ 50$	$9$

Time ( $t$ minutes)	Frequency
$60 < t ⩽ 90$	$10$
$90 < t ⩽ 120$	$14$
$120 < t ⩽ 150$	$9$
$150 < t ⩽ 180$	$5$
$180 < t ⩽ 210$	$2$

Time ( $t$ minutes)	$0 < t \leq 60$	$60 < t \leq 100$	$100 < t \leq 160$	$160 < t \leq 220$	$220 < t \leq 320$
Frequency	41	24	23	8	4

Area ( $A$ m²)	$20 < A \leq 60$	$60 < A \leq 100$	$100 < A \leq 150$	$150 < A \leq 250$
Frequency	32	64	80	24

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

Value (cents)	1	2	5	10	20	50
Frequency	3	1	3	2	4	2

Number of days	0	1	2	3	4	5
Frequency	10	8	3	2	0	1

Size	Small	Medium	Large
Mass ( $m$ grams)	$46 < m \leq 52$	$52 < m \leq 62$	$62 < m \leq 80$
Number of eggs sold	$78$	$180$	$162$

Temperature (t°C)	$0 < t \leq 10$	$10 < t \leq 15$	$15 < t \leq 20$	$20 < t \leq 25$	$25 < t \leq 35$
Number of days	50	85	100	120	10

Amount $($ m)$	$0 < m \leq 5$	$5 < m \leq 10$	$10 < m \leq 20$	$20 < m \leq 30$	$30 < m \leq 50$
Frequency	16	38	30	9	7

Number of books read	$1$	$2$	$3$	$4$	$5$	$6$	$7$	$8$
Frequency	$2$	$2$	$16$	$10$	$9$	$4$	$x$	$2$

Time ( $m$ minutes)	$0 < m \leq 10$	$10 < m \leq 40$	$40 < m \leq 60$	$60 < m \leq 90$	$90 < m \leq 100$	$100 < m \leq 120$
Frequency	3	39	43	55	11	9