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

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: 4]

The table shows some information about the heights of 200 plants.

Table for Question 2 — CAIE IGCSE Mathematics Extended

Question (a)

(a)

Draw a cumulative frequency diagram to show this information.

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

Question (b)

(b)

Find an estimate of the 75th percentile.

[ 1 ]

Question 3

[Maximum number: 5]

Question (a)

(a)

80 adults solve the same puzzle as the students.

The cumulative frequency table shows information about the time taken by each adult to solve the puzzle.

Table for Question (a) — CAIE IGCSE Mathematics Extended
[ 5 ]

Question (i)

(i)

On the grid, draw a cumulative frequency diagram.

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

Question (ii)

(ii)

Use your cumulative frequency diagram to find an estimate for
(a) the median
(b) the lower quartile.

[ 2 ]

Question 4

[Maximum number: 2]

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

The cumulative frequency diagram shows the results.

Figure for Question 4 — CAIE IGCSE Mathematics Extended

Use the diagram to find an estimate for

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

Question 5

[Maximum number: 1]

The table shows some information about the heights of 200 plants.

Table for Question 5 — CAIE IGCSE Mathematics Extended

Find an estimate of the 75th percentile.

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