CAIE IGCSE Mathematics Extended E9.3 Averages and Measures of Spread Topic Practice

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Covered syllabus points

E9.3.1 Calculate the mean, median, mode, quartiles, range and interquartileE9.3.2 Calculate an estimate of the mean for grouped discrete or groupedE9.3.3 Identify the modal class from a grouped frequency distribution.

Question 1

[Maximum number: 4]

These are Rahul's 10 test scores.
9
8
9
10
7
x
9
9
x
7

The mean of these scores is 8.

Find the interquartile range.
You must show all your working.

Question 2

[Maximum number: 1]

The heights, h metres, of the 120 boys in an athletics club are recorded.
The table shows information about the heights of the boys.

Table for Question 2 — CAIE IGCSE Mathematics Extended

Write down the modal class.
<h⩽<h \leqslant

Question 3

[Maximum number: 4]

The histogram shows information about the masses of some coconuts.
The masses are classified into four categories A, B, C and D.

Figure for Question 3 — CAIE IGCSE Mathematics Extended

Calculate an estimate of the mean mass of the coconuts.

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