Batting Averages Sample Problems

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These sample problems below for Batting Averages were generated by the MathScore.com engine.

Sample Problems For Batting Averages

Answer the following questions about batting averages.

1.	In 171 at bats, a baseball player has a batting average of 0.391. In the next game, he has 2 at bats. What is the most likely number of hits he will get? Suppose he hits 1 of those swings. What is his new batting average to three places?	Most likely number of hits: New batting average:
2.	In 303 at bats, a baseball player has a batting average of 0.354. In the next game, he has 5 at bats. What is the most likely number of hits he will get? Suppose he hits 0 of those swings. What is his new batting average to three places?	Most likely number of hits: New batting average:

Answer the following questions about batting averages.

1.	In 126 at bats, a baseball player has a batting average of 0.301. In the next game, he has 2 at bats. What is the most likely number of hits he will get? Suppose he hits 1 of those swings. What is his new batting average to three places?	Most likely number of hits: New batting average:
2.	In 272 at bats, a baseball player has a batting average of 0.363. In the next game, he has 3 at bats. What is the most likely number of hits he will get? Suppose he hits 0 of those swings. What is his new batting average to three places?	Most likely number of hits: New batting average:

Answer the following questions about batting averages.

1.	In 415 at bats, a baseball player has a batting average of 0.202. In the next game, he has 2 at bats. What is the most likely number of hits he will get? Suppose he hits 2 of those swings. What is his new batting average to three places?	Most likely number of hits: New batting average:
2.	In 381 at bats, a baseball player has a batting average of 0.316. In the next game, he has 4 at bats. What is the most likely number of hits he will get? Suppose he hits 4 of those swings. What is his new batting average to three places?	Most likely number of hits: New batting average:

Answer the following questions about batting averages.

#	Problem	Correct Answer	Your Answer
1	In 171 at bats, a baseball player has a batting average of 0.391. In the next game, he has 2 at bats. What is the most likely number of hits he will get? Suppose he hits 1 of those swings. What is his new batting average to three places?	Most likely number of hits: New batting average:
Solution The player's batting average is 0.391 and the number of swings is 2. 0.391 × 2 = 0.782 which rounds to 1. Original total number of hits = batting average * total swings = 0.391 × 171 = 67. New total number of hits = original number of hits + number of hits at next game = 67 + 1 = 68. New total number of swings = original number of swings + number of swings at next game = 171 + 2 = 173. New batting average = new total number of hits / new total number of swings = 68 / 173 = 0.393.

#	Problem	Correct Answer	Your Answer
2	In 303 at bats, a baseball player has a batting average of 0.354. In the next game, he has 5 at bats. What is the most likely number of hits he will get? Suppose he hits 0 of those swings. What is his new batting average to three places?	Most likely number of hits: New batting average:
Solution The player's batting average is 0.354 and the number of swings is 5. 0.354 × 5 = 1.77 which rounds to 2. Original total number of hits = batting average * total swings = 0.354 × 303 = 107. New total number of hits = original number of hits + number of hits at next game = 107 + 0 = 107. New total number of swings = original number of swings + number of swings at next game = 303 + 5 = 308. New batting average = new total number of hits / new total number of swings = 107 / 308 = 0.347.

Answer the following questions about batting averages.

#	Problem	Correct Answer	Your Answer
1	In 126 at bats, a baseball player has a batting average of 0.301. In the next game, he has 2 at bats. What is the most likely number of hits he will get? Suppose he hits 1 of those swings. What is his new batting average to three places?	Most likely number of hits: New batting average:
Solution The player's batting average is 0.301 and the number of swings is 2. 0.301 × 2 = 0.602 which rounds to 1. Original total number of hits = batting average * total swings = 0.301 × 126 = 38. New total number of hits = original number of hits + number of hits at next game = 38 + 1 = 39. New total number of swings = original number of swings + number of swings at next game = 126 + 2 = 128. New batting average = new total number of hits / new total number of swings = 39 / 128 = 0.305.

#	Problem	Correct Answer	Your Answer
2	In 272 at bats, a baseball player has a batting average of 0.363. In the next game, he has 3 at bats. What is the most likely number of hits he will get? Suppose he hits 0 of those swings. What is his new batting average to three places?	Most likely number of hits: New batting average:
Solution The player's batting average is 0.363 and the number of swings is 3. 0.363 × 3 = 1.089 which rounds to 1. Original total number of hits = batting average * total swings = 0.363 × 272 = 99. New total number of hits = original number of hits + number of hits at next game = 99 + 0 = 99. New total number of swings = original number of swings + number of swings at next game = 272 + 3 = 275. New batting average = new total number of hits / new total number of swings = 99 / 275 = 0.360.

Answer the following questions about batting averages.

#	Problem	Correct Answer	Your Answer
1	In 415 at bats, a baseball player has a batting average of 0.202. In the next game, he has 2 at bats. What is the most likely number of hits he will get? Suppose he hits 2 of those swings. What is his new batting average to three places?	Most likely number of hits: New batting average:
Solution The player's batting average is 0.202 and the number of swings is 2. 0.202 × 2 = 0.404 which rounds to 0. Original total number of hits = batting average * total swings = 0.202 × 415 = 84. New total number of hits = original number of hits + number of hits at next game = 84 + 2 = 86. New total number of swings = original number of swings + number of swings at next game = 415 + 2 = 417. New batting average = new total number of hits / new total number of swings = 86 / 417 = 0.206.

#	Problem	Correct Answer	Your Answer
2	In 381 at bats, a baseball player has a batting average of 0.316. In the next game, he has 4 at bats. What is the most likely number of hits he will get? Suppose he hits 4 of those swings. What is his new batting average to three places?	Most likely number of hits: New batting average:
Solution The player's batting average is 0.316 and the number of swings is 4. 0.316 × 4 = 1.264 which rounds to 1. Original total number of hits = batting average * total swings = 0.316 × 381 = 120. New total number of hits = original number of hits + number of hits at next game = 120 + 4 = 124. New total number of swings = original number of swings + number of swings at next game = 381 + 4 = 385. New batting average = new total number of hits / new total number of swings = 124 / 385 = 0.322.