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This question Is worth 2 : 1 4 4 + 1 - 8 marks The shoe sizes of a random sample of 16 upper primary school students are shown below 31, 32, 32, 30, 33, 29, 31. 34 Hyb 30, 33, 29, 32, 32, 28, 33, 35 Finist a) Complete the following to calculate the mean shoe size for this group of students, giving your answer correct to 1 decimal place. Tim Mean shoe size - " where a 63 and b 2 31.5 (1 d.p.) [2 marks] b) The range of this data set is [1 mark] c) Are there any outliers? Justify your answer by completing the following: The lower quartile for this data is and the upper quartile for this data is The interquartile range is therefore .. The Lower Boundary/Fence for outliers is and the Upper Boundary/Fence for outliers is Based on these boundaries and the data, we can conclude that there are [4 marks] d) This group of children want to go ice skating and are told that the shoe sizes need to be increased by 2 sizes to get the correct ice skate size (e.g. a student with a shoe size of 31 would need to use an ice skate size 33). The effect of this change results in the mean (average) ice skate size being 2 sizes bigger than the mean shoe size * [1 mark] Please answer all parts of the