Question

multiple choice practice

1. the histogram below displays a set of measurements. which of the boxplots below displays the same set of measurements?

(a)
(b)
(c)
(d)
(e)

Explanation:

Step1: Identify key - features of the histogram

The histogram is right - skewed with most of the data concentrated on the left side and a long tail on the right. The minimum value is around 0, and the maximum is around 10.

Step2: Analyze box - plot characteristics

For a right - skewed distribution, the median is closer to the first quartile (Q1) in the box of the box - plot, and the right whisker is longer.

Step3: Check each option

• Option A: The box is too far to the right and doesn't match the skewness.
• Option B: The box is too far to the left and doesn't match the skewness.
• Option C: The box is centered too much and doesn't match the right - skewness.
• Option D: The box is centered too much and doesn't match the right - skewness.
• Option E: The median is closer to Q1, and the right whisker is longer, which matches the right - skewed nature of the histogram.

Answer:

E.