The answer choice that matches the box plot you draw would be B.
A box plot can be used to represent the distribution of a data set using the five-number summary. The five-number summary include the following:
- Minimum
- First quartile (Q1)
- Median
- Third Quartile (Q3)
- Maximum
To plot a box plot for the given data, we need to determine the value of each of the five-number summary of the data set.
Given:
12, 14, 17, 23, 25, 30, 32, 37, 38, 40, 41
The minimum: Lowest data value in the data set is the minimum = 12
The maximum: Highest data value = 41
Median: The middle data value (the 6th data point) = 30
First Quartile: The middle value of the first part of the data set before the median (the 3rd data point) = 17
Third Quartile: The middle value of the second part of the data set after the median (the 9th data point) = 38
Next is to plot the five-number summary on a box plot.
Min value, 12, is displayed and represented by the whisker you have at your far left.
Max value, 41, is displayed and represented by the whisker you have at your far right.
Median value, 30, is displayed and represented by the vertical line that divides the rectangular box into two you.
Q1 value, 17, is displayed and represented at the beginning of the rectangular box.
Q3 value, 38, is displayed and represented at the end of the rectangular box.
The box plot of the given data when drawn would match the following as shown in the attachment below.
Therefore, the answer choice that matches the box plot drawn is B.
Learn more about box plot here:
https://brainly.com/question/16910781
