4MA0 Higher June 2017 Paper 3R Q12

EdexcelHigherOld spec8 marksCumulative Frequency

12 The table gives information about the number of males in each age group in a survey of 100 males working in Singapore in 2014.

Age (\(A\) years)Frequency
\(15 \leqslant A \lt 20\)2
\(20 \leqslant A \lt 25\)7
\(25 \leqslant A \lt 30\)9
\(30 \leqslant A \lt 35\)10
\(35 \leqslant A \lt 40\)11
\(40 \leqslant A \lt 45\)12
\(45 \leqslant A \lt 50\)12
\(50 \leqslant A \lt 55\)12
\(55 \leqslant A \lt 60\)11
\(60 \leqslant A \lt 65\)14
(a) Complete the cumulative frequency table. (1)
Age (\(A\) years)Cumulative frequency
\(15 \leqslant A \lt 20\)
\(15 \leqslant A \lt 25\)
\(15 \leqslant A \lt 30\)
\(15 \leqslant A \lt 35\)
\(15 \leqslant A \lt 40\)
\(15 \leqslant A \lt 45\)
\(15 \leqslant A \lt 50\)
\(15 \leqslant A \lt 55\)
\(15 \leqslant A \lt 60\)
\(15 \leqslant A \lt 65\)
(b) On the grid, draw a cumulative frequency graph for your table. (2)
(c) Use your graph to find an estimate for the lower quartile. (2)
Cumulative frequency grid: cumulative frequency from 0 to 100 on the vertical axis, age in years from 15 to 70 on the horizontal axis

The total number of males aged under 65 working in Singapore in 2014 was 1 200 000

Using this information and your graph,

(d) work out an estimate for the number of males working in Singapore in 2014 who were less than 52 years old. (3)
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