Question

the following table shows the number of hits (h), number of at - bats (ab), and batting average (avg = h/ab) for major leaguers derek jeter and david justice in 1995 and 1996. complete parts a through d.

player	1995	1996
jeter	12	48	.250	183	582	.314
justice	104	411	.253	45	140	.321

a. which player had the higher batting average in both 1995 and 1996?
david justice
derek jeter
b. compute the batting average for each player for the two years combined.
derek jeter had a batting average of . david justice had a batting average of .
(round to three decimal places as needed.)

Explanation:

Step1: Calculate combined hits for Jeter

$H_{Jeter - combined}=12 + 183=195$

Step2: Calculate combined at - bats for Jeter

$AB_{Jeter - combined}=48+582 = 630$

Step3: Calculate Jeter's combined batting average

$AVG_{Jeter - combined}=\frac{H_{Jeter - combined}}{AB_{Jeter - combined}}=\frac{195}{630}\approx0.310$

Step4: Calculate combined hits for Justice

$H_{Justice - combined}=104 + 45=149$

Step5: Calculate combined at - bats for Justice

$AB_{Justice - combined}=411+140 = 551$

Step6: Calculate Justice's combined batting average

$AVG_{Justice - combined}=\frac{H_{Justice - combined}}{AB_{Justice - combined}}=\frac{149}{551}\approx0.270$

Answer:

Derek Jeter had a batting average of $0.310$. David Justice had a batting average of $0.270$.