A park ranger wants to know the average
time it takes hikers to hike a trail. There
is an average of 1,245 hikers on the trail
in a year. How can he find a reasonable
estimate for the amount of time it takes
to hike the trail?
(A) time any hiker on the trail and use
that time
(B) time himself on the trail and use that
time
© time 100 hikers and average their times
(D) time 3 hikers and average their times

Question

UpStudy AI · Accepted Answer

To find a reasonable estimate for the amount of time it takes to hike the trail, the park ranger should consider the following options:

1. **Option (A)**: Time any hiker on the trail and use that time. This could be unreliable as it only reflects one individual's hiking speed.

2. **Option (B)**: Time himself on the trail and use that time. Similar to option A, this is also based on one person's experience and may not represent the average hiker.

3. **Option (C)**: Time 100 hikers and average their times. This option provides a larger sample size, which would likely yield a more accurate average time, as it accounts for variability among different hikers.

4. **Option (D)**: Time 3 hikers and average their times. While this option is better than timing just one person, a sample size of 3 is still quite small and may not adequately represent the average time for all hikers.

Given these considerations, the best choice for obtaining a reasonable estimate of the average time it takes to hike the trail is:

**(C) time 100 hikers and average their times.**

This option provides a more reliable estimate by using a larger sample size, which helps to account for variations in hiking speed among different individuals.
The park ranger should time 100 hikers and average their hiking times to get a good estimate of the average time it takes to hike the trail.

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