Scores (in runs) obtained by three batsmen P, Q and R in their last ten innings are given below:
P: 35, 42, 50, 60, 33, 55, 48, 40, 62, 45
Q: 30, 45, 55, 65, 35, 50, 60, 40, 58, 42
R: 25, 38, 55, 70, 30, 45, 48, 52, 65, 47
(i) Calculate the standard deviation of the runs scored by each batsman.
(ii) Arrange the three batsmen in order of consistency, taking the smallest standard deviation to indicate the highest consistency. If any two standard deviations are equal, use their average scores to break the tie.
(iii) Which batsman would you recommend for a match in which steady performance is required? Give one reason referring to your results.