create a box and whiskers plot for the following set of data.

5,9,9,12,13,14,16,16,18

1 answer

To create a box and whisker plot for the data set 5, 9, 9, 12, 13, 14, 16, 16, 18, we first need to find the following values:

Minimum: 5
Maximum: 18
Lower Quartile (Q1): The median of the lower half of the data set. In this case, (9, 9, 12) the median is 9.
Median (Q2): The middle value of the data set when it is ordered in ascending or descending order. In this case, the median is 13.
Upper Quartile (Q3): The median of the upper half of the data set. In this case, (14, 16, 16) the median is 16.

Now, we can create the box and whisker plot:

- Draw a number line.
- Mark the Minimum (5) and Maximum (18) on the number line.
- Draw a box from Q1 (9) to Q3 (16), with a line at the Median (13) in the middle.
- Draw "whiskers" from the box to the Minimum (5) and Maximum (18).

The box and whisker plot should look something like this:

----5----9------------------------13--------------16----18