Complete Question:
The data below represents the number of desks on each floor of Texter Corporate. 54, 60, 65, 66, 67,69, 70, 72,73, 75,76 Which box plot correctly summarizes the data?
(See attached picture below for options showing possible box plot that summarizes the data)
Answer:
Option B
Step-by-step Explanation:
Given the data points 54, 60, 65, 66, 67,69, 70, 72,73, 75,76, to select the correct option of box plot that correctly summarizes the data, we need to ascertain 5 important values which are usually referred to as "the five-number summary). They are the min, max, median, Q1, and Q3.
Thus, from the data set given,
Min. = 54 (this is the least value in the data set. One of the horizontal lines, which are called the whiskers, is drawn down to 54 as the minimum data point.)
Max = 76 (this is the highest value in the data set. The other horizontal line is drawn up to 76, the maximum data point.)
Median = 69 (since the number of data set is 11, the median which is the middle data point would be the 6th data point. 69 is the 6th and middle value in the data point and it is represented in the box plot by the vertical line that dividends the box in the box plot)
Q1 = 65 (this is middle value of the bottom half of the given data set, if we exclude the median. This is the data point where the rectangular box starts from.)
Q2 = 73 (this is the middle value of the top half of the data sets from the median point. This is the data point where the rectangular box ends on the box plot)
Therefore, using the above values of the five-number summary, the box plot that correctly summarizes the data is option B. The other box plots are incorrect.
