To find the relative frequencies of the hits, we first need to calculate the total number of hits. We can do this by adding the frequencies of each type of hit:
- Singles: 31
- Doubles: 9
- Triples: 2
- Home Runs: 8
Total hits = 31 + 9 + 2 + 8 = 50
Next, we can calculate the relative frequency for each type of hit by dividing the frequency of each type by the total number of hits and then multiplying by 100 to get a percentage.
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Relative frequency of singles: \[ \text{Relative frequency of singles} = \frac{31}{50} \times 100 = 62% \]
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Relative frequency of doubles: \[ \text{Relative frequency of doubles} = \frac{9}{50} \times 100 = 18% \]
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Relative frequency of triples: \[ \text{Relative frequency of triples} = \frac{2}{50} \times 100 = 4% \]
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Relative frequency of home runs: \[ \text{Relative frequency of home runs} = \frac{8}{50} \times 100 = 16% \]
Now we can evaluate the statements given in the question:
- The relative frequency of triple is 8%. (Incorrect, it is 4%.)
- The relative frequency of single is 62%. (Correct!)
- The relative frequency of double is 45%. (Incorrect, it is 18%.)
- The relative frequency of home run is 80%. (Incorrect, it is 16%.)
The true statement is "The relative frequency of single is 62%."