Answer :
Final answer:
The average time for the athlete to run the three races is calculated by adding the times of each race (converted to seconds) and dividing by the number of races, which equals 261.5 seconds. This converts back to 4 minutes and 21.5 seconds.
Explanation:
To calculate the mean time (also known as the average time), you need to first convert the time of each race to the same unit of measurement. In this case, we're converting minutes to seconds. Now,
- The first race was 3 minutes and 59.1 seconds which equals 240 seconds (1 minute = 60 seconds) + 59.1 seconds = 299.1 seconds.
- The second race was 4 minutes and 3.8 seconds which equals (4*60) seconds + 3.8 seconds = 243.8 seconds.
- The third race was 4 minutes and 1.6 seconds which equals (4*60) seconds + 1.6 seconds = 241.6 seconds.
Now, to calculate the mean time, you add together the times of all three races and divide by the number of races:
Mean time = (299.1 seconds + 243.8 seconds + 241.6 seconds) / 3 = 261.5 seconds
Then, convert this back to minutes and seconds. There are 60 seconds in a minute, so 261.5 seconds = 4 minutes and 21.5 seconds. So, the average time for the athlete to run the three races was 4 minutes 21.5 seconds.
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