Given:
The data values are 22, 23, 23, 24, 24, 24, 25, 25, 25, 25, 26, 26, 26, 26, 26, 27, 27, 27, 28, 28, 28, 28, 29, 29, 30.
To find:
The five-number summary.
Solution:
We have,
22, 23, 23, 24, 24, 24, 25, 25, 25, 25, 26, 26, 26, 26, 26, 27, 27, 27, 28, 28, 28, 28, 29, 29, 30
Divide the data values on 2 equal parts.
(22, 23, 23, 24, 24, 24, 25, 25, 25, 25, 26, 26), 26, (26, 26, 27, 27, 27, 28, 28, 28, 28, 29, 29, 30)
Divide each parentheses in two equal parts.
(22, 23, 23, 24, 24, 24), (25, 25, 25, 25, 26, 26), 26, (26, 26, 27, 27, 27, 28), (28, 28, 28, 29, 29, 30)
Now,
Minimum value = 22

Median = 26

Maximum value = 30
So, the five number summary is 22, 24.5, 26, 28, 30.
Therefore, the correct option is D.