Question

Q6. 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 162 169 172 156 146 161 159 164 157 160 (cm) (a) 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. (4) (b) 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. (2) (Total 6 marks)