Acing the first test Here are the scores of Mrs. Liao’s students on their first statistics test:

(a) Make a boxplot of these data.

(b) Use the boxplot you created in part (a) to describe how the students did on Mrs. Liao’s first test.

The given data in the sorted form is:

43, 45, 72, 73, 78, 80, 81, 82, 82.5, 85, 85.5, 86, 86, 87.5, 87.5, 88, 88, 89, 91, 91, 92, 93, 93.5, 93.5, 94.5, 94.5, 95, 96, 98

An Xis used to represent outliers. The boxplot's whiskers are at the minimum and highest values. The box has a vertical line at the median and starts at the first quartile and finishes at the third quartile.

We all know that the first quartile represents median values below the median and there are 15 values that are below the median from it we can find the first quartile, which is 82.

Therefore, 25% of students scored below 82 or equal to 82, and the rest 75% of students scored more than 82.

This all represents that students performed very well in the first test taken by Mrs. Liao.