Given:
The data set is:
25, 36, 21, 30, 20, 32, 38, 19, 36, 31, 26, 33, 27, 18, 24
To find:
The box plot for the given data set.
Solution:
We have,
25, 36, 21, 30, 20, 32, 38, 19, 36, 31, 26, 33, 27, 18, 24
Arrange the data in ascending order.
18, 19, 20, 21, 24, 25, 26, 27, 30, 31, 32, 33, 36, 36, 38
Divide the data in two equal parts.
(18, 19, 20, 21, 24, 25, 26), 27, (30, 31, 32, 33, 36, 36, 38)
Divide each parenthesis in two equal parts.
(18, 19, 20), 21, (24, 25, 26), 27, (30, 31, 32), 33, (36, 36, 38)
Now, the five number summary of the given data set is:
Minimum value = 18
First quartile = 21
Median = 27
Third quartile = 33
Maximum value = 38
Therefore, the required box plot for the given data set is shown below.
