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Foundation June 2019 Paper 2 Q19

EduqasFoundationCurrent spec5 marksGrouped Data

19. Marie works for an optician.
She records the depth of a lens in each of the 100 pairs of glasses on display.

A pair of glasses with the depth of a lens shown as the vertical height of the lens

Her results are summarised in the table.

Depth of lens, \(x\) mm,
to the nearest mm		Number of pairs of glasses
\(10 \leqslant x \lt 20\)5
\(20 \leqslant x \lt 30\)20
\(30 \leqslant x \lt 40\)23
\(40 \leqslant x \lt 50\)52
(a) Calculate an estimate for the mean depth of a lens. [4]
(b) In which group does the median lie? [1]
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