Question

39. The A.M of run scored by two batsmen A
and B in a series of 10 innings are 50 and 12
respectively.the standard deviation of their runs
are 15 and 2 respectively. Who is more
consistent?​

Answer 1

Batsman B has a smaller value of the standard deviation (S.D.) of the runs scored, therefore Batsman B is more consistent.

Given:

The A.M. of runs scored by the batsman A in 10 innings = 50

The A.M. of runs scored by the batsman B in 10 innings = 12

The standard deviation of runs scored by Batsman A = 15

The standard deviation of runs scored by Batsman B = 2

To Find:

Which batsman is more consistent?

Solution:

The standard deviation (S.D.) is the statistical measure of the relative dispersion of data points in a data sets from the mean of the given data set.

→ Higher value of the standard deviation (S.D.) implies a higher deviation of the data point around the mean. A higher value of the standard deviation (S.D.) means that the data is less consistent.

→ In the above question, we have been given the standard deviation (S.D.) of the runs scored by two batsmen and we have to find which batsman is more consistent.

→ We will compare the standard deviation (S.D.) of the runs scored for both and then find, who has a smaller value for the standard deviation (S.D.). The batsman with the smaller value of the standard deviation (S.D.) would be more consistent.

The standard deviation of runs scored by Batsman A = 15

The standard deviation of runs scored by Batsman B = 2

Since Batsman B has a smaller value of the standard deviation (S.D.) of the runs scored, therefore Batsman B is more consistent.

#SPJ1