the box - and - whisker plot below represents some data set. what percentage of the data values are less…

Explanation:

Step1: Recall the properties of box - and - whisker plot

In a box - and - whisker plot, the median divides the data set into two halves. The left half of the box represents the lower quartile ((Q_1)) and the right half represents the upper quartile ((Q_3)). The entire box (from (Q_1) to (Q_3)) contains (50%) of the data. The left whisker is from the minimum value to (Q_1) (contains (25%) of the data) and the right whisker is from (Q_3) to the maximum value (contains (25%) of the data).

Step2: Identify the position of 53

53 is the upper quartile ((Q_3)) of the box - and - whisker plot. The formula for the percentage of data less than or equal to (Q_3) is (75%) because (25%) of the data is in the left whisker (less than (Q_1)) and (50%) of the data is in the box (from (Q_1) to (Q_3)). So, the percentage of data values less than or equal to (Q_3) is (25%+50% = 75%)

Answer:

75%