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The heights of 20 children were measured (in centimetres) and the results were recorded. The data collected is given in the table below.

1. Write down the median height measured.

2. Determine:

(a) The mean height
(b)  The range
(c)  The interquartile range

3. Draw a box and whisker diagram to represent the data.

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## 1 Answer

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Best answer

Solution 1

\begin{aligned}
\text { Median } &=\dfrac{136+137}{2} \\
&=136,5
\end{aligned}

Solution 2

\begin{aligned}
\text { Mean } &=\dfrac{2728}{20} \\
&=136,4 \mathrm{~cm}
\end{aligned}

Solution 3

\begin{aligned}
\text { Range} &=145-127 \\
&=18 \mathrm{~cm}
\end{aligned}

Solution 4

Lower quartile $=132$

Upper quartile $=141 \frac{1}{2}$
Interquartile range $=141 \frac{1}{2}-132 =9,5 \mathrm{~cm}$

Solution 5

by Diamond (88,180 points)

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