Make a box-and-whisker plot of the data.
24, 18, 29, 21, 16, 23, 13, 11
First, we need to order the data from smallest to largest:
11, 13, 16, 18, 21, 23, 24, 29
Next, we find the median (middle value) of the entire set, which is:
Median = (18 + 21) / 2 = 19.5
This splits the data into two halves. We now find the medians of each half:
Lower half: 11, 13, 16, 18
Median = (13 + 16) / 2 = 14.5
Upper half: 21, 23, 24, 29
Median = (23 + 24) / 2 = 23.5
We now have all the information we need to draw the box-and-whisker plot:
+-----+-----+------+------+-------+
| 11 | 13 | 16 | 18 | 21 | 23 | 24 | 29 |
+-----+-----+------+------+-------+
|-----------------| ← 19.5 (median)
+-----------------------------+
| |------------| ← 14.5 (lower median)
|------------| ← 23.5 (upper median)
The box represents the middle 50% of the data, with the lower edge being the first quartile (Q1) and the upper edge being the third quartile (Q3). The whiskers extend from the box to the smallest and largest values that are not outliers. Any values beyond the whiskers are considered outliers and are plotted individually. In this case, there are no outliers.