Question

this box plot shows the heights (in feet) of a sample of pine trees. a pine tree that is 150 feet tall is added to the sample. how will this outlier affect the shape of the box plot? a. the new box plot will be negatively skewed. b. the new box plot will be positively skewed. c. the new box plot will look the same. d. the new box plot will be symmetric.

Explanation:

Step1: Understand skewness

Skewness is about the asymmetry of data. Positive - skew means the tail is on the right side (towards larger values).

Step2: Analyze the outlier

The original data has heights in the range of 20 - 120 feet. Adding a 150 - feet tall tree (an outlier on the high - end) will pull the right - hand side of the distribution.

Step3: Determine the skewness

Since the outlier is on the high - end (right - hand side), the new box plot will be positively skewed.

Answer:

B. The new box plot will be positively skewed.