Question

How much time does it take to travel to work? The table below shows the mean commute time (in minutes) by state for workers at least 16
years old who are not working at home. Find the mean travel time (in minutes), and round off the answer properly. (Round your answer to two
decimal places.)
23 44
* min
24.7 24.6 25.9 18.9 27.5 17.9 21.8 20.9 16.7 27.3
18.2 24.3 20.0 22.6 23.9 18.031.422.3 24.7 25.5
24.324.8 28.1 24.2 22.6 23.6 23.4 25.7 24.4 25.5
21.225.7 23.1 23.0 23.9 26.0 16.3 23.1 21.4 21.5
27.0 27.0 18.6 31.7 23.3 30.1 22.9 23.3 21.7 18.6
To find the mean, you take the sum of all the survey responses and then divide by what?

Answer 1

By direct computation, we will see that the mean of the given set is:

M = 23.462

How to find the mean of a set?

We know that for a set of N elements, {x₁, x₂, ..., xₙ}, the mean is given by:

$M = \frac{x_1 + x_2 + ... + x_n}{N}$

In this case, our set is:

{24.7, 24.6, 25.9, 18.9, 27.5, 17.9, 21.8, 20.9, 16.7, 27.3, 18.2, 24.3, 20.0, 22.6, 23.9, 18.0, 31.4, 22.3, 24.7, 25.5, 24.3, 24.8, 28.1, 24.2, 22.6, 23.6, 23.4, 25.7, 24.4, 25.5, 21.2, 25.7, 23.1, 23.0, 23.9, 26.0, 16.3, 23.1, 21.4, 21.5, 27.0, 27.0, 18.6, 31.7, 23.3, 30.1, 22.9, 23.3, 21.7, 18.6}

So our set we have 50 elements, then the mean (is kinda hard to write it).

M = (24.7 + 24.6 + 25.9 + 18.9 + 27.5 + 17.9 + 21.8 + 20.9 + 16.7 + 27.3 + 18.2 + 24.3 + 20.0 + 22.6 + 23.9 + 18.0 + 31.4 + 22.3 + 24.7 + 25.5 + 24.3 + 24.8 + 28.1 + 24.2 + 22.6 + 23.6 + 23.4 + 25.7 + 24.4 + 25.5 + 21.2 + 25.7 + 23.1 + 23.0 + 23.9 + 26.0 + 16.3 + 23.1 + 21.4 + 21.5 + 27.0 + 27.0 + 18.6 + 31.7 + 23.3 + 30.1 + 22.9 + 23.3 + 21.7 + 18.6)/50

M = 23.462

If you want to learn more about means, you can read:

https://brainly.com/question/14532771