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

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Covered syllabus points

E9.6.1 Draw and interpret cumulative frequency tables and diagrams.E9.6.2 Estimate and interpret the median, percentiles, quartiles and

Question 1

[Maximum number: 7]

A student measures the height, h cmh \mathrm{~cm}, of each of 400 plants.

Question (a)

(a)

The cumulative frequency diagram shows the results.

Figure for Question (a) — CAIE IGCSE Mathematics Extended

Use the diagram to find an estimate for

[ 7 ]

Question (i)

(i)

the median cm [1]

[ 1 ]

Question (ii)

(ii)

the interquartile range cm [2]

[ 2 ]

Question (iii)

(iii)

the 80th percentile cm [2]

[ 2 ]

Question (iv)

(iv)

the number of plants with a height greater than 60 cm .

[ 2 ]

Question 2

[Maximum number: 10]
Table for Question 2 — CAIE IGCSE Mathematics Extended

The table shows information about the heights of 80 children.

Question (a)

(a)

Write down the interval containing the median.
<h⩽<h\leqslant

[ 1 ]

Question (b)

(b)
Table for Question (b) — CAIE IGCSE Mathematics Extended

Complete the cumulative frequency table for the heights.

[ 2 ]

Question (c)

(c)

On the grid, draw the cumulative frequency diagram.

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

Question (d)

(d)

Use your diagram to find an estimate of

[ 4 ]

Question (i)

(i)

the interquartile range m

[ 2 ]

Question (ii)

(ii)

the 60th percentile m

[ 2 ]
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