6. A travel agent sells holidays from his shop. The price, in \(\pounds\), of 15 holidays sold on a particular day are shown below.
| 299 | 1050 | 2315 | 999 | 485 |
| 350 | 169 | 1015 | 650 | 830 |
| 99 | 2100 | 689 | 550 | 475 |
For these data, find
- the mean and the standard deviation,
- the median and the inter-quartile range.
An outlier is an observation that falls either more than \(1.5 \times\) (inter-quartile range) above the upper quartile or more than \(1.5 \times\) (inter-quartile range) below the lower quartile.
- Determine if any of the prices are outliers.
The travel agent also sells holidays from a website on the Internet. On the same day, he recorded the price, \(\pounds x\), of each of 20 holidays sold on the website. The cheapest holiday sold was \(\pounds 98\), the most expensive was \(\pounds 2400\) and the quartiles of these data were \(\pounds 305 , \pounds 1379\) and \(\pounds 1805\). There were no outliers.
- On graph paper, and using the same scale, draw box plots for the holidays sold in the shop and the holidays sold on the website.
- Compare and contrast sales from the shop and sales from the website.
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