12 Amelia decides to analyse the heights of members of her school rowing club.
The heights of a random sample of 10 rowers are shown in the table below.
| Rower | Jess | Nell | Liv | Neve | Ann | Tori | Maya | Kath | Darcy | Jen |
| Height (cm) | 162 | 169 | 172 | 156 | 146 | 161 | 159 | 164 | 157 | 160 |
12
- Any value more than 2 standard deviations from the mean may be regarded as an outlier.
Verify that Ann's height is an outlier.
Fully justify your answer.
12 - Amelia thinks she may have written down Ann's height incorrectly.
If Ann's height were discarded, state with a reason what, if any, difference this would make to the mean and standard deviation.