Answer: Option A.
Step-by-step explanation:
A box plot uses the lowest and highest values, the median, and the different quadrants of a data set.
First, we will sort the data from least to greatest: 52 55 56 56 61 63 63 64 64 66
Next, the lowest and highest values of this given data set are 52 and 66. These values are represented by the first and last vertical lines (sometimes called the "whiskers" of a box-and-whisker plot). This rules out answer options c and d.
Then, find the median. This is the middle value of the data set when it's organized from smallest to largest.
52 55 56 56 61 63 63 64 64 66
--- --- --- --- 61 63 --- --- --- ---
We have an even number of data values, so we will take the average.
(61 + 63) / 2 = 124 / 2 = 62
The center vertical line lays on this value, so this rules out option b. As we have narrowed down the answer options, we don't need to find the quadrants to know option a is our answer.
