Question

based on the data represented in the parallel boxplots, which is true?
a a is skewed left with one outlier
b b is skewed left with one outlier
c c is skewed left and right with two outliers
d a and b are skewed left with one outlier each
e a and b are skewed right with one outlier each

Explanation:

To determine the skewness and outliers from boxplots:

• Skewness: If the median is closer to the bottom of the box (lower quartile), the data is skewed right (tail on the right). If closer to the top (upper quartile), skewed left (tail on the left).
• Outliers: Represented by asterisks/dots outside the whiskers.

• For A: Median is near the bottom of the box (skewed right), one outlier (top asterisk).
• For B: Median is near the bottom of the box (skewed right), one outlier (top asterisk).
• For C: Median is centered, two outliers (one top, one bottom), but not skewed left and right (symmetric or slight, but option C’s description is incorrect).
• Option A: A is skewed right (not left), so wrong.
• Option B: B is skewed right (not left), so wrong.
• Option C: C is not skewed left and right (median centered), so wrong.
• Option D: A and B are skewed left? No, they are skewed right. Wrong.
• Option E: A and B have medians near the bottom (skewed right, tail right), each with one outlier (top asterisk). Correct.

Answer:

E. A and B are skewed right with one outlier each