Question

sam kept track of the number of problems he was assigned for his math homework in 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: Analyze box - plot symmetry

The box - plot is not symmetric as the distance from the median to the lower quartile is not equal to the distance from the median to the upper quartile. So the data is skewed.

Step2: Identify median value

The line inside the box represents the median. Here, the median is at 15. In a box - plot, 50% of the data lies below the median. So half of the assignments contained 15 problems or fewer.

Answer:

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