After giving a statistics​ exam, Professor Dang determined the following​ five-number summary for her class results.

Question

60

67

77

90

98


Use this information to draw a boxplot of the exam scores.

Answer 1

To draw a boxplot of the exam scores using the given five-number summary, follow these steps:

Step 1: Define the scale of the number line. In this case, we will use a scale of 10 (from 0 to 100) based on the maximum and minimum values of the data.

Step 2: Place a number line horizontally and label it from 0 to 100, with a tick mark for each multiple of 10.

Step 3: Plot the minimum value (60) as a small tick mark on the number line, representing the left-most edge of the boxplot.

Step 4: Plot the first quartile (Q1) value (67) as a short horizontal line to the right of the minimum value mark.

Step 5: Plot the median (also known as the second quartile, Q2) value (77) as a longer line above the first quartile mark.

Step 6: Plot the third quartile (Q3) value (90) as a short horizontal line to the right of the median mark.

Step 7: Plot the maximum value (98) as a small tick mark to the right of the third quartile mark.

Step 8: Connect the first quartile mark, median mark, and third quartile mark with vertical lines to form the box of the boxplot.

Step 9: Draw a vertical line from the minimum value mark to the bottom of the box, and another vertical line from the maximum value mark to the top of the box to represent the "whiskers."

Step 10: Optionally, label the key values (minimum, first quartile, median, third quartile, and maximum).

The completed boxplot should look like this:

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60 77 98