CAIE S1 2024 June — Question 3

Exam BoardCAIE
ModuleS1 (Statistics 1)
Year2024
SessionJune
TopicData representation
TypeDraw histogram then perform calculations

3 The heights, in cm, of 200 adults in Barimba are summarised in the following table.
Height \(( h \mathrm {~cm} )\)\(130 \leqslant h < 150\)\(150 \leqslant h < 160\)\(160 \leqslant h < 170\)\(170 \leqslant h < 175\)\(175 \leqslant h < 195\)
Frequency1632766412
  1. Draw a histogram to represent this information.
    \includegraphics[max width=\textwidth, alt={}, center]{a909cef1-8a22-4cef-b0b7-c48316304c0c-04_1397_1495_762_287}
  2. The interquartile range is \(R \mathrm {~cm}\). Show that \(R\) is not greater than 15 .