Question

= O DATA ANALYSIS AND STATISTICS Mean and median of a data set The 6 students in Mrs. Brooks' class were asked how many minutes it takes them to get to school in the morning. Here is what they answered. 13, 10, 3, 5, 5, 7 Find the mean and median travel times for these students. If necessary, round your answers to the nearest tenth. (a) Mean: minutes (b) Median: minutes 4 X ? 3/5

Answer 1

a) In order to find the mean, consider that it is equal to the quotient between the sum of the given data, over the total number of data, just as follow:

$\begin{gathered} mean=\frac{13+10+3+5+5+7}{6} \\ mean=\frac{43}{6}\approx7.2 \end{gathered}$

Then, the mean is 7.2

b) Take into account that median is the value at the center of the ordered list. Then, you have:

3 5 5 7 10 13

Now, in the case in which there are two values at the center, the median is one half the sum of them:

$median=\frac{5+7}{2}=\frac{12}{2}=6$

Then, the median is 6