select the correct answer. which value is not part of the five - number summary needed for a box plot of…

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. 1 b. 5 c. 9 d. 11

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. 1 b. 5 c. 9 d. 11

Answer

Explanation:

Step1: Sort the data

[1,2,5,6,7,9,12,15,18,19,27]

Step2: Find the minimum

The minimum value is (1).

Step3: Find the first - quartile ((Q_1))

There are (n = 11) data points. The position of (Q_1) is (\frac{n + 1}{4}=3). So (Q_1 = 5).

Step4: Find the median

The position of the median is (\frac{n+1}{2}=6). So the median is (9).

Step5: Find the third - quartile ((Q_3))

The position of (Q_3) is (\frac{3(n + 1)}{4}=9). So (Q_3=18).

Step6: Find the maximum

The maximum value is (27). The five - number summary is (1,5,9,18,27).

Answer:

D. 11