Jeter and Justice. The following table shows the number ol 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.
1995 | 1996 | ||
Jeter | 12 H, 48 AB, | AVG = 250 | 183 H, 582 AB, AVG = 314 |
Justice | 104 H, 411 AB, | AVG = 253 | 45 H, 140 AB, AVG = 321 |
Source: Ken Ross, A Mathematician at the Ballpark: Odds and Probabilities for Baseball Fans, Pi Press, 2004.
a. Which player had the higher batting average in both 1995 and 1996?
b. Compute the batting average for each player for the two years combined.
c. Which player had the higher combined batting average for 1995 and 1996?
d. Explain the apparent inconsistency in these results.
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