Higher November 2023 Paper 2 Q17

AQACurrent spec4 marksCumulative Frequency

17 190 people were asked how much they spent on takeaways one month.

The table shows information about the results.

Amount, \(x\) (£)Cumulative frequency
\(0 \lt x \leqslant 10\)16
\(0 \lt x \leqslant 20\)64
\(0 \lt x \leqslant 30\)140
\(0 \lt x \leqslant 40\)184
\(0 \lt x \leqslant 50\)190
(a) How many people spent more than £20 ? [2 marks]
(b) Farah draws this cumulative frequency curve to represent the results.
Graph titled Amount spent on takeaways one month, with Amount x (£) from 0 to 50 on the horizontal axis and Frequency from 0 to 200 on the vertical axis; a smooth S-shaped curve rises from (0, 0) through about (10, 18), (20, 64) and (30, 140) to (50, 200)

Give two criticisms of her graph. [2 marks]

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