Use the image to answer the question.

Question

A distribution curve is plotted by joining the four points A, B, C, and D on a plane.
point a is at a bottom left corner and is the starting point. it immedialty starts a climb. on one side of the upward curve is B, which is higher on its side, which C is on the other side, but lower as the hill-like shape rolls out and starts evening back down to the bottom right corner, where point D waits.
A team of students were comparing the mean and median of a dot plot and noticed that the dots made a graph. They labeled the mean, median, minimum, and maximum of the graph. Which point is most likely the mean of the skewed data?

Responses

B
upper B

C
upper C

A
upper A

D

Answer 1

In a skewed distribution, the mean is typically pulled in the direction of the skew. If we assume the distribution curve is skewed to the right (which is common), the mean would be located to the right of the median.

From your description:

• Point A is at the bottom left starting point.
• Point B is higher on the upward curve.
• Point C is lower but on the upward curve.
• Point D is at the bottom right corner.

In this setup, the mean is likely to be closer to the higher values on the right side, which means it would be around point B.

So, the most likely answer for the mean of the skewed data would be:

B