Question

2

Select the correct answer.
Which value is not part of the five-number summary needed for a box plot of this data?
(5, 6, 1, 27, 2, 7, 12, 15, 9, 18, 19)
A.
B.
C.
D.
1
5
9
11
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Answer 1

To find the five-number summary for a box plot, we need to determine the following values: minimum, first quartile (Q1), median (Q2), third quartile (Q3), and maximum.

Given the data: (5, 6, 1, 27, 2, 7, 12, 15, 9, 18, 19)

To find the five-number summary:
1. Arrange the data in ascending order: 1, 2, 5, 6, 7, 9, 12, 15, 18, 19, 27
2. Find the minimum: 1
3. Find Q1 (first quartile): 5
4. Find the median (Q2): 9
5. Find Q3 (third quartile): 18
6. Find the maximum: 27

Comparing these values to the answer choices, we can see that the value "11" is not part of the given data set. Therefore, the correct answer is (D) 11.