Question

sam kept track of the number of problems he was assigned for his math homework on the box plot. number of homework problems which statement must be true according to the box plot? the data is symmetric and shows that half of the assignments contained 15 problems or fewer the data is symmetric and shows that the majority of the assignments had 19 problems or more the data is skewed and shows that half of the assignments contained 15 problems or fewer the data is skewed and shows that the majority of the assignments had 19 problems or more

Explanation:

Step1: Recall box - plot properties

A symmetric box - plot has the median (the line inside the box) equidistant from the lower and upper quartiles (the ends of the box). In a box - plot, the median divides the data into two halves.

Step2: Analyze the box - plot

Looking at the box - plot, the box is symmetric. The median (the line in the box) is at \(15\). By the property of box - plots, half of the data lies below the median and half lies above the median.

Answer:

The data is symmetric and shows that half of the assignments contained 15 problems or fewer.