Question 5 Age distribution is presented in a histogram below. 10 5 Frequency 20 26 32 33 44 50 6 62 63 74 9) Age (a) What is the shape of distribution? (b) Between mean and median, which is the most appropriate measure of centre? Explain your answer. the sibbim averted (c) Between standard deviation and interquartile range, which is the most appropriate measure of spread? Explain your answer. Question 6\fU. Math Unit 2 Question 7 The box plot below shows the score of a quiz for a group of students. 3 4 6 7 8 9 10 11 12 13 14 15 16 (a) Write down the five-number summary? (b) Calculate the range and interquartile range. (c) What is the percentage of students score less than 11? (d) What is the percentage of students score more than 8? (e) What is the percentage of students score more than 13? ( f ) Between which two scores where middle 50% of all scores lie.Question 8 The height (in cm) of boys and girls at a pre-school centre is shown in a parallel box plot below. Heights of boys Heights of girls 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 (a) Find the median height for boys and girls. (b) Calculate the interquartile range of height for boys and girls. (c) On average, which group of children is taller than another group? Explain your answer. Provide appropriate measures in your explanation. (d) Which group is less variable in terms of height than another group? Explain your answer. Use interquartile range in your explanation. (e) Based on the box plot that represents heights of girls, middle 50% of their heights lie between cm and cm