Question 15 — IGCSE 0580 May/June 2025 Paper 41
Cambridge IGCSE Mathematics 0580, Extended tier, calculator. Topic: Statistics · Grouped data. Worth 9 marks.
Open in interactive question bank →
Question text
15 The height of each of 140 basketball players is recorded.
The table shows the results.
Height (h cm) 160 1 h G 180 180 1 h G 185 185 1 h G 190 190 1 h G 200 200 1 h G 210
Frequency 7 12 31 70 20
(a) Calculate an estimate of the mean height.
............................................ cm [4]
(b) Two of the players are chosen at random.
Find the probability that both players have a height grea ter than 190 cm and no more than 200 cm.
................................................. [2]
(cid:300)(cid:209)(cid:266)(cid:174)(cid:288)(cid:180)(cid:237)(cid:200)(cid:245)(cid:207)(cid:298)(cid:197)(cid:266)(cid:224)(cid:252)(cid:183)(cid:254)(cid:215)
© UCLES 2025 (cid:300)(cid:230)(cid:275)(cid:250)(cid:211)(cid:287)(cid:261)(cid:251)(cid:230)(cid:237)(cid:246)(cid:242)(cid:254)(cid:286)(cid:202)(cid:273)(cid:259)(cid:258) 0580/41/M/J/25
(cid:293)(cid:245)(cid:277)(cid:213)(cid:245)(cid:213)(cid:197)(cid:277)(cid:229)(cid:197)(cid:277)(cid:261)(cid:261)(cid:245)(cid:229)(cid:213)(cid:229)(cid:213)
M
SIHT
NI
ETIRW
TON
OD
NIGRAM
SIHT
NI
ETIRW
TON
OD
NIGRAM
SIHT
NI
ETIRW
TON
OD
NIGRAM
SIHT
NI
ETIRW
TON
OD
NIGRAM
SIHT
NI
ETIRW
TON
OD
* 0000800000011 *
11
(cid:44)(cid:1)(cid:1)(cid:1)(cid:1)(cid:9)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:2)(cid:2)(cid:44)
(c) Complete the histogram to show the information in the frequency table.
y
8
7
6
5
Frequency
4
density
3
2
1
0
h
160 170 180 190 200 210
Height (cm)
[3]
NIGRAM
SIHT
NI
ETIRW
TON
OD
NIGRAM
SIHT
NI
ETIRW
TON
OD
NIGRAM
SIHT
N
DFD
Mark scheme
