Question

Two measures of center are marked on the density curve shown.

(a) The median is at the yellow line and the mean is at the red line.

(b) The median is at the red line and the mean is at the yellow line.

(c) The mode is at the red line and the median is at the yellow line.

(d) The mode is at the yellow line and the median is at the red line.

(e) The mode is at the red line and the mean is at the yellow line.

Short answer

The correct option is (b).

Step-by-step solution

Step 1. Given

Two metrics of Centre are marked on the density curve below:

Step 2. Concept

These inflection points are always $1$standard deviation from the mean on a normal density curve.

Step 3. Explanation

Two metrics of Centre are marked on the density curve below:

Because the right skew pulls the mean to the right, The median is shown by the red line, while the mean is represented by the yellow line. (b) The median is shown by the red line, while the mean is represented by the yellow line. Because the density curve is right-skewed, the mean will be pulled toward the curve's tail end. As a result, the mean exceeds the median. Therefore, Option (b) is the best answer