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Answer :
To work out the percentage of athletes who took more than 26 seconds to finish the race, we can follow these steps:
1. Identify the Total Number of Athletes:
- First, we add up the frequencies of all the time intervals to find the total number of athletes:
- 22 < t ≤ 24: 3 athletes
- 24 < t ≤ 26: 5 athletes
- 26 < t ≤ 28: 8 athletes
- 28 < t ≤ 30: 9 athletes
- Total athletes = 3 + 5 + 8 + 9 = 25 athletes
2. Count the Athletes Who Took More Than 26 Seconds:
- We are interested in the athletes who took more than 26 seconds, which includes those in the intervals:
- 26 < t ≤ 28: 8 athletes
- 28 < t ≤ 30: 9 athletes
- Athletes above 26 seconds = 8 + 9 = 17 athletes
3. Calculate the Percentage:
- To find the percentage of athletes who took more than 26 seconds, divide the number of athletes who took more than 26 seconds by the total number of athletes, and then multiply by 100:
- Percentage = (17 / 25) * 100 = 68.0%
Therefore, 68% of the athletes took more than 26 seconds to finish the race.
1. Identify the Total Number of Athletes:
- First, we add up the frequencies of all the time intervals to find the total number of athletes:
- 22 < t ≤ 24: 3 athletes
- 24 < t ≤ 26: 5 athletes
- 26 < t ≤ 28: 8 athletes
- 28 < t ≤ 30: 9 athletes
- Total athletes = 3 + 5 + 8 + 9 = 25 athletes
2. Count the Athletes Who Took More Than 26 Seconds:
- We are interested in the athletes who took more than 26 seconds, which includes those in the intervals:
- 26 < t ≤ 28: 8 athletes
- 28 < t ≤ 30: 9 athletes
- Athletes above 26 seconds = 8 + 9 = 17 athletes
3. Calculate the Percentage:
- To find the percentage of athletes who took more than 26 seconds, divide the number of athletes who took more than 26 seconds by the total number of athletes, and then multiply by 100:
- Percentage = (17 / 25) * 100 = 68.0%
Therefore, 68% of the athletes took more than 26 seconds to finish the race.
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