Question

In: Statistics and Probability

Match No. 1 2 3 4 5 6 7 8 9 10 11 12 13 14...

Match No. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
Player A

8

42

56

68

91

123

12

46

57

137

5

80

14

10

19

Player B

38

44 46 59 57 61 48 42 51 39 58 41 55 45 68

1. For the given data set representing the runs scored by two players in last 15 matches, conduct the following analysis:

i. Which average you will use to summarize the performance of the player? Find average runs scored for both of the players. Also give reasons for the choice of the average?

ii. If selection is possible on the basis of consistency, which player would you choose in the team? Perform the required statistics and justify the selection.

iii. Check whether there exists any relationship among the runs scored by two players using Karl Pearson coefficient of correlation and interpret the same.

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