1. What is the mode when the distribution is symmetric?2 weeks4 weeks7 weeks9 weeks2. When the mode is less than the mean, which of the following is true?The distribution is negatively skewed.The distribution is symmetric.The distribution is bi-modal.The distribution is positively skewed.3. When the mode is greater than the mean, which of the following is true?The distribution is negatively skewed.The distribution is symmetric.The distribution is bi-modal.The distribution is positively skewed. Conceptual Overview: Explore the beta distribution corresponding to PERT parameters.Specifying optimistic, pessimistic, and most likely or mode times are sufficient to generate the beta distribution describing completion times.The applet opens with values Optimistic = 2 weeks, Pessimistic = 11 weeks, and Mode = 4 weeks. Drag the mode line inside the distributionto see how the shape changes as expectations about the most likely outcome change. Drag between 0 and the current Optimistic value tochange the Optimistic value. Drag, in either direction, beyond the upper end to change the pessimistic value.NOTE: To prevent extreme beta distributions that are difficult to graph, there are limits on how much the parameters can be changed. Ingeneral, dragging is limited so that the boundaries are least 10% of the range between the pessimistic and optimistic values. The maximumpessimistic value is also limited to approximately three times the initial pessimistic value. If the graph becomes poorly displayed, reload theitem.Relative LikelihoodMode = 4.00Mean = 5.00Time (weeks)10

By the given figure, we have1) correct selection is opion ● 2 (4 weeks)Explanation:Mode means…

Answered: Conceptual Overview: Explore the beta…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Related questions

Question

1. What is the mode when the distribution is symmetric?

2 weeks
4 weeks
7 weeks
9 weeks

2. When the mode is less than the mean, which of the following is true?

The distribution is negatively skewed.
The distribution is symmetric.
The distribution is bi-modal.
The distribution is positively skewed.

3. When the mode is greater than the mean, which of the following is true?

The distribution is negatively skewed.
The distribution is symmetric.
The distribution is bi-modal.
The distribution is positively skewed.

Conceptual Overview: Explore the beta distribution corresponding to PERT parameters.
Specifying optimistic, pessimistic, and most likely or mode times are sufficient to generate the beta distribution describing completion times.
The applet opens with values Optimistic = 2 weeks, Pessimistic = 11 weeks, and Mode = 4 weeks. Drag the mode line inside the distribution
to see how the shape changes as expectations about the most likely outcome change. Drag between 0 and the current Optimistic value to
change the Optimistic value. Drag, in either direction, beyond the upper end to change the pessimistic value.
NOTE: To prevent extreme beta distributions that are difficult to graph, there are limits on how much the parameters can be changed. In
general, dragging is limited so that the boundaries are least 10% of the range between the pessimistic and optimistic values. The maximum
pessimistic value is also limited to approximately three times the initial pessimistic value. If the graph becomes poorly displayed, reload the
item.
Relative Likelihood
Mode = 4.00
Mean = 5.00
Time (weeks)
10

Definition Definition Measure of central tendency that is the value that occurs most frequently in a data set. A data set may have more than one mode if multiple categories repeat an equal number of times. For example, in a data set with five item—3, 5, 5, 29, 473—the mode is 5 because it occurs twice and no other value occurs more than once. On a histogram or bar chart, the element with the highest bar represents the mode. Therefore, the mode is sometimes considered the most popular option. The mode is useful for nominal or categorical data (e.g., the most common color car that users purchase), but it is problematic for continuous data because it is more likely not to have any value that is more frequent than the other.

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