9 exploring operations activity: pert and activity time distribution\ncreated by gary n. mcclelland…

9 exploring operations activity: pert and activity time distribution\ncreated by gary n. mcclelland, professor emeritus | university of colorado boulder\n© cengage learning. all rights reserved.\n1. what is the mode when the distribution is asymmetric?\na. 2 weeks\nb. 4 weeks\nc. 7 weeks\nd. 9 weeks\n2. when the mode is less than the mean, which of the following is true?\na. the distribution is negatively skewed.\nb. the distribution is symmetric.\nc. the distribution is bi - modal.\nd. the distribution is positively skewed.\n3. when the mode is greater than the mean, which of the following is true?\na. the distribution is negatively skewed.

9 exploring operations activity: pert and activity time distribution\ncreated by gary n. mcclelland, professor emeritus | university of colorado boulder\n© cengage learning. all rights reserved.\n1. what is the mode when the distribution is asymmetric?\na. 2 weeks\nb. 4 weeks\nc. 7 weeks\nd. 9 weeks\n2. when the mode is less than the mean, which of the following is true?\na. the distribution is negatively skewed.\nb. the distribution is symmetric.\nc. the distribution is bi - modal.\nd. the distribution is positively skewed.\n3. when the mode is greater than the mean, which of the following is true?\na. the distribution is negatively skewed.

Answer

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.