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Numeracy Higher November 2022 Unit 1 Q5

WJECHigherCurrent spec8 marksHistograms

5. Madeleine is researching the effects of waves. She does this at two different beaches, Llanddawel and Abertig.
She measures the masses of pebbles in a sample taken from each beach.

(a) Look at the histogram below. It shows the masses of the pebbles in the sample taken from Llanddawel beach.
Histogram: Mass (g) against Frequency density (0 to 4). Bars: 0 to 40 height 1; 40 to 80 height 1.5; 80 to 100 height 3.7; 100 to 120 height 1.8; 120 to 200 height 0.5

Calculate an estimate for the percentage of pebbles in Madeleine’s sample that had a mass of less than 70 g. [5]

(b) Look at the histogram below. It shows the masses of the pebbles in the sample taken from Abertig beach.

The scale on the vertical axis is missing.

Histogram: Mass (g) from 0 to 100, Frequency density axis with only 0 labelled and four dotted label spaces at the major grid lines. Bars 0 to 20, 20 to 30, 30 to 40, 40 to 60 and 60 to 100
(i) 120 pebbles each had a mass of less than 30 g.
Use this fact to complete the frequency density axis above. [2]
(ii) What was the median mass of the pebbles in the sample taken from Abertig beach?
Circle your answer. [1]

30 g     40 g     45 g     50 g     50·5 g

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