Question 16 — IGCSE 0580 Specimen 2025 Paper 21
Cambridge IGCSE Mathematics 0580, Extended tier, non-calculator. Topic: Statistics · Cumulative frequency. Worth 10 marks.
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Question text
16 A student measures the height, h cm, of each of 400 plants.
(a) The cumulative frequency diagram shows the results.
400
360
320
280
240
Cumulative
200
frequency
160
120
80
40
0
h
0 10 20 30 40 50 60 70 80
Height (cm)
Use the diagram to find an estimate for
(i) the median
.......................................... cm [1]
(ii) the interquartile range
.......................................... cm [2]
(iii) the 80th percentile
.......................................... cm [2]
(iv) the number of plants with a height greater than 60 cm.
............................................... [2]
© Cambridge University Press & Assessment 2022 0580/02/SP/25 [Turn over
10
(b) The heights are also shown in the frequency table.
Height (h cm) 0 < h 20 20 < h 30 30 < h 40 40 < h 80
Frequency 120 80 124 76
⩽ ⩽ ⩽ ⩽
Complete the histogram to show this information.
14
12
10
8
Frequency
density
6
4
2
0
h
0 10 20 30 40 50 60 70 80
Height (cm)
[3]
© Cambridge University Press & Assessment 2022 0580/02/SP/25
11
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