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Chapter 2: Q 34. (page 109)

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

Expert verified

The correct option is (b).

Step by step solution

01

Step 1. Given

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

02

Step 2. Concept

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

03

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

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Most popular questions from this chapter

Comparing batting averages Three landmarks of baseball achievement are Ty Cobb’s batting average of 420in 1911, Ted Williams’s 406in 1941, and George Brett’s 390in 1980. These batting averages cannot be compared directly because the distribution of major league batting averages has changed over the years. The distributions are quite symmetric, except for outliers such as Cobb, Williams, and Brett. While the mean batting average has been held roughly constant

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