If you were to use the data on the length of major league ba

If you were to use the data on the length of major league baseball games in Exercise 4.15 to estimate the total amount of videotape needed to film 10 major league baseball games, which is the more meaningful description, the sample mean or the sample median? Explain.

(Exercise 4.15 refers to the above problem On opening day one season, 10 major league baseball games were played and they lasted the following numbers of minutes. 167, 211, 187, 176, 170, 158, 198, 218, 145, 232 Find the sample median.)

Solution

sample median :

the given samples 145,158,167,170,176,187,198,211,218,232

the number samples n=10

ie n is even

the series median values n/2,n/2+1

10/2,10/2+1

the meadian term is 5th and 6th

176,187

the median value is (176+187)/2

=363/2

=181.5

mean sample:

=(145+158+167+170+176+187+198+211+218+232)/10

=186.5

the more meaningful description is sample median