The 6 students in Mrs. Alexander's class were asked how many minutes it takes them to get to school in the morning. Here is what they answered.8, 16, 4, 11, 14, 14Find the mean and median travel times for these students.If necessary, round your answers to the nearest tenth.(a) Mean: minutes(b) Median: minutes
Question
The 6 students in Mrs. Alexander's class were asked how many minutes it takes them to get to school in the morning. Here is what they answered.8, 16, 4, 11, 14, 14Find the mean and median travel times for these students.If necessary, round your answers to the nearest tenth.(a) Mean: minutes(b) Median: minutes
Solution
To find the mean (average) travel time, you add up all the times and then divide by the number of times.
Step 1: Add up all the times: 8 + 16 + 4 + 11 + 14 + 14 = 67 minutes
Step 2: Divide by the number of times (6 students): 67 ÷ 6 = 11.17 minutes. Rounded to the nearest tenth, this is 11.2 minutes.
So, the mean travel time is 11.2 minutes.
To find the median (middle) travel time, you first arrange the times in numerical order and then find the middle number. If there are two middle numbers, you find the mean of those two numbers.
Step 1: Arrange the times in numerical order: 4, 8, 11, 14, 14, 16
Step 2: Find the middle number. In this case, there are two middle numbers: 11 and 14.
Step 3: Find the mean of the two middle numbers: (11 + 14) ÷ 2 = 12.5 minutes.
So, the median travel time is 12.5 minutes.
(a) Mean: 11.2 minutes (b) Median: 12.5 minutes
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