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Numeracy Higher June 2023 Unit 2 Q7

WJECHigherCurrent spec6 marksHistograms

7. The frequency table below shows the monthly rainfall in Porthislwyn for the 5-year period from January 2010 to December 2014.

Rainfall, \(r\) (mm)Number of monthsFrequency density
\(0 \leqslant r \lt 50\)60·12
\(50 \leqslant r \lt 75\)100·4
\(75 \leqslant r \lt 100\)10……………………
\(100 \leqslant r \lt 125\)7……………………
\(125 \leqslant r \lt 150\)12……………………
\(150 \leqslant r \lt 200\)8……………………
\(200 \leqslant r \lt 300\)7……………………
(a)

Complete the table above and the histogram below to illustrate this data. [3]

Histogram grid: Frequency density (0 to 0·5) against Rainfall, r (mm) (0 to 300). Bars already drawn: 0 to 50 at height 0·12, and 50 to 75 at height 0·4
(b)

A wet month is classified as one where the monthly rainfall is greater than 60 mm.

Calculate an estimate for the percentage of wet months in Porthislwyn in this 5-year period.

You must show all your working. [3]

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