A cricket analyst compares the consistency of two batsmen based on their scores (in…
MATHEMATICS · Multi-part · AP · AP Statistics · Exploring One-Variable Data · Exploring One-Variable Data
Problem
A cricket analyst compares the consistency of two batsmen based on their scores (in runs) in the last 10 innings.
Batsman A: 35, 42, 40, 38, 45, 50, 48, 44, 41, 39
Batsman B: 28, 90, 15, 74, 32, 41, 37, 46, 23, 64
(i) Find the arithmetic mean of the scores of each batsman.
(ii) Calculate the standard deviation of the scores for each batsman, correct to two decimal places.
(iii) On the basis of your results, state which batsman is more consistent and give a brief justification.