please show work and explain how you got the answer

2. Below is a set of sorted data. The critical values of this data are also listed below. 16 38 38 40 42 43 45 50 51 55 56 57 60 60 90 Standard deviation = 16.01 Q1 = 41 Q2 = 50 Q3 = 56.5 a) Determine the interquartile range ( IQR) [1 mark] b)Determine the upper and lower boundaries and identify any outlier [3 mark] c)Draw the modified box-and-whisker below showing the outlier. [2 mark] 0 5 10 15 20 25 30 35 40 45 50 55 60 65 70 75 80 85 90 95 100