Question

9 exploring operations activity: pert and activity time distribution
created by gary n. mcclelland, professor emeritus | university of colorado boulder
© cengage learning. all rights reserved.

1. what is the mode when the distribution is asymmetric?

a. 2 weeks
b. 4 weeks
c. 7 weeks
d. 9 weeks

1. when the mode is less than the mean, which of the following is true?

a. the distribution is negatively skewed.
b. the distribution is symmetric.
c. the distribution is bi - modal.
d. the distribution is positively skewed.

1. when the mode is greater than the mean, which of the following is true?

a. the distribution is negatively skewed.

Explanation:

Step1: Identify mode for symmetric distribution

In a symmetric distribution, the mode is at the center - peak of the distribution. From the given graph, the mode of the overall distribution is 4.04 which is closest to 4 weeks.

Step2: Recall skewness property

When mode < mean, the tail of the distribution extends to the right, which means the distribution is positively skewed.

Step3: Recall opposite skewness property

When mode > mean, the tail of the distribution extends to the left, which means the distribution is negatively skewed.

Answer:

1. b. 4 weeks
2. d. The distribution is positively skewed.
3. a. The distribution is negatively skewed.