Question 1 - A-Level Maths

Exam Board	Edexcel
Module	S1 (Statistics 1)
Year	2024
Session	January
Topic	Data representation
Type	Complete frequency table from histogram only

The histogram below shows the distribution of the heights, to the nearest cm , of 408 plants.
\includegraphics[max width=\textwidth, alt={}, center]{86446ce3-496a-4f02-9566-9b207bac9efa-02_1001_1473_340_296}
1. Use the histogram to complete the following table.
Height \(( h\) cm) \(5 \leqslant h < 9\) \(9 \leqslant h < 13\) \(13 \leqslant h < 15\) \(15 \leqslant h < 17\) \(17 \leqslant h < 25\)
Frequency 32 152 120
Use interpolation to estimate the median. The mean height of these plants is 13.2 cm correct to one decimal place.
Describe the skew of these data. Give a reason for your answer. Two of these plants are chosen at random.
Estimate the probability that both of their heights are between 8 cm and 14 cm

Height \(( h\) cm)	\(5 \leqslant h < 9\)	\(9 \leqslant h < 13\)	\(13 \leqslant h < 15\)	\(15 \leqslant h < 17\)	\(17 \leqslant h < 25\)
Frequency	32	152	120