Question

2. In the mid-1990s, one of the main debates in Major League Baseball was whether Derek Jeter or David Justice was a better baseball player. One key metric in this debate was their respective batting averages, calculated as the number of hits divided by number of at-bats. The following information is available regarding their batting averages in the years 1995 and 1996: Player 1995 Number Number of of Hits At-Bats 12 1996 Number Number of of Hits At-Bats 183 582 Combined Number Number of of Hits At-Bats 48 195 630 Derek Jeter David Justice 104 411 45 140 149 551 a. Looking at the years 1995 and 1996 individually, who has a higher batting average? b. Look at the two years combined, who has a higher batting average? c. Compare your answers to parts a and b. What phenomena is at play here, and why does it occur?

Answer 1

Ans. a) Calculation of betting average

For derek jeter

                                             1995                     1996              Combined

No of hits                                12 183    195

No of bats                               48 582    630

Betting average 25%    31.44% 30.95%

Caculation of betting average for David justice

                                         

                                             1995                     1996              Combined

No of hits                                104      45       149

No of bats                               411 140    551

Betting average 25.30%     32.14% 27.04%

Comparson for betting average

                                             1995                    1996         Combined

Derek jeter                            25%                      31.44%       30.95%

David justice                         25.30                     32.14          27.04

a) In the year of 1995 and 1996 david justice is having highest betting average as compare of derek jeter.

d) As per combined average of 1996 and 1995 derek jeter is having highest batting average as compare of david justice

c) In the above two scenario we are comparing betting average based on individual years and based on combined average , based on individual years david justice betting average is more than derek jeter but if we see average of those years derek jeter betting average more than david justice.

This situation is occure due to derek jeter performance improvement is more than david justice.