Question

For the first half of a baseball season, a player had 93 hits out of 274 times at bat. The player's batting average was 93274 ≈ 0.339. During the second half of the season, the player had 60 hits out of 283 times at bat. The player's batting average was 60283 ≈ 0.212. (Round your answers to three decimal places.)(a) What is the average (mean) of 0.339 and 0.212? ______(b) What is the player's batting average for the complete season? ______(c) Does the answer in part (a) equal the average in part (b)? ___ yes ___ no

Answer 1

a.

The mean is:

$\frac{0.339+0.212}{2}=0.275$

b.

To find the complete season we add the number of hits and divide it by the total number times at the bat:

$\frac{93+60}{274+283}=0.275$

c.

Yes they are the same