CAIE IGCSE Mathematics Extended E9.6 Cumulative Frequency Diagrams Topic Practice

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Question 1

[Maximum number: 3]

Question (a)

(a)

200 students estimate the volume, V m3V \mathrm{~m}^{3}, of a classroom. The cumulative frequency diagram shows their results.

Figure for Question (a) — CAIE IGCSE Mathematics Extended

Use the graph to find an estimate of

[ 3 ]

Question (i)

(i)

the 60th percentile,

___ m^3

[ 1 ]

Question (ii)

(ii)

the number of students who estimate that the volume is greater than 300 m3300 \mathrm{~m}^{3}.

[ 2 ]

Question 2

[Maximum number: 5]

The speed, v km/hv \mathrm{~km} / \mathrm{h}, of each of 200 cars passing a building is measured. The table shows the results.

Table for Question 2 — CAIE IGCSE Mathematics Extended

Question (a)

(a)

Use the frequency table to complete the cumulative frequency table.

Table for Question (a) — CAIE IGCSE Mathematics Extended
[ 1 ]

Question (b)

(b)

On the grid, draw a cumulative frequency diagram.

Figure for Question (b) — CAIE IGCSE Mathematics Extended
[ 3 ]

Question (c)

(c)

Use your diagram to find an estimate of

[ 1 ]

Question (i)

(i)

the upper quartile, km/h

[ 1 ]
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