QUESTION 1 At a Physics Open Day the following data were recorded for heights (m) of projectiles above the ground : 21 31 20 50 23 32 29 20 32 31 38 40 50 30 43 21 43 26 46 43 31 43 44 32 24 43 39 45 35 38 1.1 Calculate the mean height. (3) 1.2 Determine the five number summary. (5 ) 1.3 Draw a box and whisker diagram of the data. (5) 1.4 Determine the interquartile range (IQR) of the above data. (1) 1.5 Determine the lower and upper fence values, and state whether any outliers exist in the data set. (6) [20]QUESTION 3 The contraction of cells is measured by a group of medical practitioners and a frequency distribution table was constructed. Contraction (x) Frequency (f,) Midpoint of f.x; Cumulative Class frequency (x.) 2,6-3,2 - w 3,2-3,8 3,8-4,4 W 4,4-5,0 6 5,0-5,6 8 5,6-6,2 9 6,2-6,8 4 TOTAL 40 3.1 Complete the above table. (5) 3.2 Calculate: 3.2.1 Mean (3) 3.2.2 Median (2) 3.2.3 Mode (2) [12]