Tim ran a quarter mile five × yesterday. The table above shows the time of each run, in minutes and seconds. For example, the time 1:07 represents 1 minute and 7 seconds. What is the range, in seconds, of the × of Tim's five runs?
The range of Tim's five runs is 8 seconds.
To find the range, we subtract the shortest time from the longest time recorded among Tim's runs. In this case, the longest run time is 1:12 (72 seconds) and the shortest is 1:04 (64 seconds), resulting in a range of 72 - 64 = 8 seconds.
A range of 4 seconds would imply that the difference between the fastest and slowest run times is only 4 seconds. However, the times provided do not support this conclusion, as the actual difference calculated is greater than 4 seconds.
If the range were 6 seconds, it would mean that the maximum and minimum run times differ by only 6 seconds. Upon evaluating the run times, the actual difference exceeds this value, confirming that 6 seconds is not the correct range.
This value correctly represents the range calculated by taking the difference between the longest time (1:12) and the shortest time (1:04), yielding a range of 8 seconds. This calculation accurately reflects the variability in Tim's run times.
A range of 11 seconds would suggest a significantly larger difference between the fastest and slowest runs than what is observed. The calculated difference of 8 seconds indicates that the range cannot be 11 seconds, as it does not align with the provided data.
The calculation of the range for Tim's five runs shows a difference of 8 seconds between the longest and shortest times. This conclusion highlights the importance of accurately determining the range as a measure of variability in performance, reinforcing the understanding of how to analyze time-based data effectively.
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