1MA0 Higher March 2013 Paper 1 Q14

EdexcelHigherOld spec7 marksCumulative Frequency

14 The grouped frequency table shows information about the weekly wages of 80 factory workers.

Weekly wage (£\(x\))Frequency
\(100 \lt x \leqslant 200\)8
\(200 \lt x \leqslant 300\)15
\(300 \lt x \leqslant 400\)30
\(400 \lt x \leqslant 500\)17
\(500 \lt x \leqslant 600\)7
\(600 \lt x \leqslant 700\)3
(a) Complete the cumulative frequency table.
Weekly wage (£\(x\))Cumulative
Frequency
\(100 \lt x \leqslant 200\)
\(100 \lt x \leqslant 300\)
\(100 \lt x \leqslant 400\)
\(100 \lt x \leqslant 500\)
\(100 \lt x \leqslant 600\)
\(100 \lt x \leqslant 700\)
(1)
(b) On the grid opposite, draw a cumulative frequency graph for your table. (2)
Grid: cumulative frequency 0 to 80 against weekly wage £0 to £700
(c) Use your graph to find an estimate for the interquartile range. (2)
(d) Use your graph to find an estimate for the number of workers with a weekly wage of more than £530 (2)
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