Make a box-and-whisker plot out of the data
21,21,22,20,13,13,27,24
First, we need to order the data from least to greatest:
13, 13, 20, 21, 21, 22, 24, 27
Next, we find the median, which is the middle value of the dataset. Since we have an even number of values, we take the average of the two middle values:
median = (21 + 22) / 2 = 21.5
This value separates the dataset into two halves. The values less than or equal to the median are:
13, 13, 20, 21
The values greater than or equal to the median are:
21, 22, 24, 27
Now we find the first and third quartiles, which divide each half of the dataset in half again.
For the first half:
Q1 = (13 + 20) / 2 = 16.5
For the second half:
Q3 = (22 + 24) / 2 = 23
Now we can draw the box-and-whisker plot using these values:
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13 27
The horizontal line inside the box represents the median (21.5). The bottom of the box is the first quartile (16.5) and the top of the box is the third quartile (23). The vertical lines extending from the box are the "whiskers", which show how far the lower and upper values extend from the box. The dots above and below the whiskers represent the minimum (13) and maximum (27) values.