What is the five number summary for this data set 17,21,26,28,31,33,41,46,52

Given:

The data set is 17, 21, 26, 28, 31, 33, 41, 46, 52.

To find:

The five-number summary for the given data set.

Solution:

We have, the values

17, 21, 26, 28, 31, 33, 41, 46, 52

Divide the data values into 2 equal parts.

(17, 21, 26, 28), 31, (33, 41, 46, 52)

Divide each parenthesis into 2 equal parts.

(17, 21), (26, 28), 31, (33, 41), (46, 52)

Now,

Minimum value = 17

The first quartile is:

Median = 31

The third quartile is:

Maximum value = 52

Therefore, the five-number summary for the given data set is 17, 23.5, 31, 43.5, 52.

step-by-step explanation:

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