Question 1 (Total of 19 marks) In preparation for an international swimming event in 100 metre backstroke. Michael Phelps tested two different types of swimsuits from his major sponsor. Samples of 20 swimming times were recorded below using the X-Glide and the X-Fly Swimsuits: X-Glide Swimsuit: 100m backstroke (seconds) 52.52 50.78 50.93 51.02 51.48 51.60 51.75 52.97 53.93 55.45 50.53 50.80 50.97 51.05 51.48 51.60 52.85 53.10 54.15 56.32 50.08 50.52 X-FW Swimsuit: 100m backstroke (seconds) 50.60 50.65 51.10 51.53 51.92 53.30 50.60 50.72 51.48 51.65 52.10 53.75 53.75 52.23 50.10 50.58 54.02 57.55 (a) (3 marks) Use EXCEL to obtain a histogram for each Swimsuit. (b) (4 marks) Use EXCEL to obtain Descriptive Statistics for each Swimsuit including Quartile 1, Quartile 3 and IQR (c) (3 marks) Describe the symmetry and modality of each distribution. (d) (5 marks) Use the 1.5xIQR rule to identify any outliers in each distribution. (e) (4 marks) Which measures of central tendency and dispersion should be used to describe each distribution? Give (brief) reasons. State and interpret their values