Question

Amanda surveyed 13 students in her class about their heights in inches. Her data are listed below.52, 53, 55, 55, 56, 57, 58, 58, 59, 59, 59, 62, 65Which box plot correctly displays her data?51 52 53 54 55 56 57 58 59 60 51 52 53 54 55 5651 52 53 54 55 56 57 58 59 60 61 23 54 55 5651 52 53 54 55 56 57 58 5951 29 54 55 5651 52 54 55 56 57 58 593 54 55 56

Answer 1

The problem is asking for the median and the mean of the data set.

Remember that the median is defined as the middle number in the set (after the numbers have been arranged from least to greatest)

On the other hand, the mean is the addition of the element in the data set divided by the number of elements.

Regarding the median

We first need to order the data in this way:

`0.5,0.5,0.5,1.5,1.5,2.5,3.5,3.5,4`

As we can see, there are 9 elements, so the median is the central number (the 5th number).

So, we can see that:

`\text{median}=1.5`

As for the mean:

Finally, as the mean is equal to 2 and the median is equal to 1.5, we get that

Therefore, the answer to the question is option D