Question

question 8 of 10
which is a negatively skewed distribution?
a.
image of a histogram

b.
image of a dot plot

c.
image of a dot plot

d.
image of a box plot

0 2 4 6 8 10 12 14 16 18 20 22 24 26 28 30

Explanation:

Step1: Recall Skewness Definition

A negatively skewed (left - skewed) distribution has a longer tail on the left side. The mean is less than the median, and the bulk of the data is on the right - hand side with a tail stretching to the left.

Step2: Analyze Each Option

• Option A: The histogram is approximately symmetric (bell - shaped), so it is not negatively skewed.
• Option B: The dot - plot has most of the data points on the right side and a tail (fewer points) on the left side. This fits the definition of a negatively skewed distribution.
• Option C: The dot - plot is approximately symmetric around the center, so it is not negatively skewed.
• Option D: The box - plot: For a negatively skewed distribution, the whisker on the left (lower end) should be longer, and the median should be closer to the upper quartile. In this box - plot, the whisker on the right is longer, indicating a positively skewed (right - skewed) distribution.

Answer:

B. The dot - plot with most points on the right and a left - tail