# How do you draw a box-and-whisker plot for the following unordered data. 49, 57, 53, 54, 49, 67, 51, 57, 56, 59, 57, 50, 49, 52, 53, 50, 58?

Nov 3, 2014

By rearranging them in ascending order,

49,49,49,50,50,51,52,53,53,56,54,57,57,57,58,59,67

So, the smallest is 49, the median $M$ is 53, and the largest is 67.

For the first half:

49,49,49,50,50,51,52,53,

the median ${M}_{1} = \frac{50 + 50}{2} = 50$.

For the second half:

56,54,57,57,57,58,59,67,

the median ${M}_{2} = \frac{57 + 57}{2} = 57$.

The box-and-whisker plot looks like:

I hope that this was helpful.