Answer :
The five-number summary required to construct a box plot of this data does not include 11.
What is a five-number summary?
When conducting descriptive analyses or conducting an initial analysis of a sizable data set, a five-number summary is particularly helpful.
The maximum and minimum values in the data set, the lower and upper quartiles, and the median make up a summary's five values.
So, sort the numbers in the row {5, 6, 1, 27, 2, 7, 12, 15, 9, 18, 19} from least to largest:
{1, 2, 5, 6, 7, 9, 12, 15, 18, 19, 27}
The range starts at 1 and ends at -27.
The middle value in this row—9—is the median.
18 is the median of the right part {12, 15, 18, 19, 27} and 5 is the median of the left part {1, 2, 5, 6, 7}.
The only option missing from A through D is number 11. (numbers 1, 5, and 9 are part of the five-number summary).
Therefore, the five-number summary required to construct a box plot of this data does not include 11.
Know more about the five-number summary here:
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Complete question:
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