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 average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

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