Higher November 2024 Paper 4 Q14

OCRHigherCurrent spec5 marksHistograms

14 The histogram summarises the heights, \(h\) cm, of some plants in a garden centre.

Histogram of frequency density against height h cm: 0 to 100 has frequency density 0.8, 100 to 150 has 1.9, 150 to 200 has 1.5 and 200 to 300 has 1.2
(a) Show that there are 80 plants with a height in the interval \(0 \lt h \leqslant 100\). [1]
(b) The value, in pounds, of each plant depends on the plant’s height.
The table below shows this information.
Height (\(h\) cm)Value (£)
\(0 \lt h \leqslant 100\)2.50
\(100 \lt h \leqslant 150\)3.40
\(150 \lt h \leqslant 200\)5.00
\(200 \lt h \leqslant 300\)6.30

Use this information to find the total value of the plants represented in the histogram. [4]