The following stem and leaf diagram summarises the wing length, to the nearest mm, of a random sample of 67 owl moths.

a Write down the mode of these data. b Find the median and quartiles of these data. c On graph paper, construct a box plot to represent these data. d Comment on the skewness of the distribution. e Calculate the mean and standard deviation of these data. f Use a further method to show that these data are skewed. g State, giving a reason, which of bore you would recommend using to summarise the data in the table.AppendixLO1

Transcribed Image Text:

Key: 510 means 50 3 3 4 4 (12) (10) Wing length 0 0 0 1 1 2 2 3 5 5 66 678 8 01 1 1 3 3 4 4 5 1 567899 12 2 3 3 55662766 8 8 9 9 5 79 5799 1 1 1 2 2 3 3 4 789 0 1 1 2 9 9 44 (10) (7) (4) (8) (3) (4) (3)