Math Practice Problems - Batting Averages

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Batting Averages - Sample Math Practice Problems

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Complexity=1

Answer the following questions about batting averages.

Complexity=2

Answer the following questions about batting averages.

Answers

Complexity=0

Answer the following questions about batting averages.

#	Problem	Correct Answer	Your Answer
1	In 413 at bats, a baseball player has a batting average of 0.321. In the next game, he has 3 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 0.321 and the number of swings is 3. 0.321 × 3 = 0.963 which rounds to 1. Original total number of hits = batting average * total swings = 0.321 × 413 = 133. New total number of hits = original number of hits + number of hits at next game = 133 + 1 = 134. New total number of swings = original number of swings + number of swings at next game = 413 + 3 = 416. New batting average = new total number of hits / new total number of swings = 134 / 416 = 0.322.

#	Problem	Correct Answer	Your Answer
2	In 154 at bats, a baseball player has a batting average of 0.189. In the next game, he has 4 at bats. What is the most likely number of hits he will get? Suppose he hits 3 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 0.189 and the number of swings is 4. 0.189 × 4 = 0.756 which rounds to 1. Original total number of hits = batting average * total swings = 0.189 × 154 = 29. New total number of hits = original number of hits + number of hits at next game = 29 + 3 = 32. New total number of swings = original number of swings + number of swings at next game = 154 + 4 = 158. New batting average = new total number of hits / new total number of swings = 32 / 158 = 0.203.

Complexity=1

Answer the following questions about batting averages.

#	Problem	Correct Answer	Your Answer
1	In 395 at bats, a baseball player has a batting average of 0.306. In the next game, he has 4 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 0.306 and the number of swings is 4. 0.306 × 4 = 1.224 which rounds to 1. Original total number of hits = batting average * total swings = 0.306 × 395 = 121. New total number of hits = original number of hits + number of hits at next game = 121 + 0 = 121. New total number of swings = original number of swings + number of swings at next game = 395 + 4 = 399. New batting average = new total number of hits / new total number of swings = 121 / 399 = 0.303.

#	Problem	Correct Answer	Your Answer
2	In 465 at bats, a baseball player has a batting average of 0.171. In the next game, he has 3 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 0.171 and the number of swings is 3. 0.171 × 3 = 0.513 which rounds to 1. Original total number of hits = batting average * total swings = 0.171 × 465 = 80. New total number of hits = original number of hits + number of hits at next game = 80 + 1 = 81. New total number of swings = original number of swings + number of swings at next game = 465 + 3 = 468. New batting average = new total number of hits / new total number of swings = 81 / 468 = 0.173.

Complexity=2

Answer the following questions about batting averages.

#	Problem	Correct Answer	Your Answer
1	In 269 at bats, a baseball player has a batting average of 0.238. In the next game, he has 2 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 0.238 and the number of swings is 2. 0.238 × 2 = 0.476 which rounds to 0. Original total number of hits = batting average * total swings = 0.238 × 269 = 64. New total number of hits = original number of hits + number of hits at next game = 64 + 0 = 64. New total number of swings = original number of swings + number of swings at next game = 269 + 2 = 271. New batting average = new total number of hits / new total number of swings = 64 / 271 = 0.236.

#	Problem	Correct Answer	Your Answer
2	In 582 at bats, a baseball player has a batting average of 0.224. In the next game, he has 4 at bats. What is the most likely number of hits he will get? Suppose he hits 3 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 0.224 and the number of swings is 4. 0.224 × 4 = 0.896 which rounds to 1. Original total number of hits = batting average * total swings = 0.224 × 582 = 130. New total number of hits = original number of hits + number of hits at next game = 130 + 3 = 133. New total number of swings = original number of swings + number of swings at next game = 582 + 4 = 586. New batting average = new total number of hits / new total number of swings = 133 / 586 = 0.227.

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