3. Over a long period of time a small company recorded the amount it received in sales per month. The results are summarised below.
| Amount received in sales (£1000s) |
| Two lowest values | 3,4 |
| Lower quartile | 7 |
| Median | 12 |
| Upper quartile | 14 |
| Two highest values | 20,25 |
An outlier is an observation that falls
either \(1.5 \times\) interquartile range above the upper quartile or \(1.5 \times\) interquartile range below the lower quartile.
- On the graph paper below, draw a box plot to represent these data, indicating clearly any outliers.
(5)
\includegraphics[max width=\textwidth, alt={}, center]{c78ec7b6-dd06-4de1-94c2-052a5577dd10-05_933_1226_1283_367} - State the skewness of the distribution of the amount of sales received. Justify your answer.
- The company claims that for \(75 \%\) of the months, the amount received per month is greater than \(\pounds 10000\). Comment on this claim, giving a reason for your answer.
(2)