Standard Deviation given Probability Factor Solution

STEP 0: Pre-Calculation Summary
Formula Used
Standard Deviation = (Scheduled Time-Mean Time)/Probability Factor
σ = (Ts-te)/Z
This formula uses 4 Variables
Variables Used
Standard Deviation - The Standard Deviation is a measure of how spread out numbers are.
Scheduled Time - (Measured in Day) - Scheduled Time is the time which is made as per the experience and practice by the creator of the project.
Mean Time - (Measured in Day) - Mean Time, also called expected time is the time needed to complete an activity.
Probability Factor - The probability Factor is a term used to find the probability of a project getting completed in the expected time.
STEP 1: Convert Input(s) to Base Unit
Scheduled Time: 6.7 Day --> 6.7 Day No Conversion Required
Mean Time: 4 Day --> 4 Day No Conversion Required
Probability Factor: 2.03 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
σ = (Ts-te)/Z --> (6.7-4)/2.03
Evaluating ... ...
σ = 1.33004926108374
STEP 3: Convert Result to Output's Unit
1.33004926108374 --> No Conversion Required
FINAL ANSWER
1.33004926108374 1.330049 <-- Standard Deviation
(Calculation completed in 00.020 seconds)

Credits

Created by Chandana P Dev
NSS College of Engineering (NSSCE), Palakkad
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17 Project Evaluation and Review Technique Calculators

Optimistic Time given Expected Time
Go Optimistic Time = (6*Mean Time)-(4*Most Likely Time)-Pessimistic Time
Mean or Expected Time
Go Mean Time = (Optimistic Time+(4*Most Likely Time)+Pessimistic Time)/6
Most Likely Time given Expected Time
Go Most Likely Time = (6*Mean Time-Optimistic Time-Pessimistic Time)/4
Standard Deviation given Probability Factor
Go Standard Deviation = (Scheduled Time-Mean Time)/Probability Factor
Scheduled Time given Probability Factor
Go Scheduled Time = (Standard Deviation*Probability Factor)+Mean Time
Expected Time given Probability Factor
Go Mean Time = Scheduled Time-(Standard Deviation*Probability Factor)
Probability Factor
Go Probability Factor = (Scheduled Time-Mean Time)/Standard Deviation
Pessimistic Time given Expected Time
Go Pessimistic Time = 6*Mean Time-Optimistic Time-4*Most Likely Time
Earliest Expected Occurrence Time of Event j
Go Earliest Occurrence Time of j = Earliest Occurrence Time of i+Duration of i-j
Earliest Expected Occurrence Time of Event i
Go Earliest Occurrence Time of i = Earliest Occurrence Time of j-Duration of i-j
Expected Time of Activity i-j
Go Duration of i-j = Earliest Occurrence Time of j-Earliest Occurrence Time of i
Slack of Event i or j
Go Slack of an Event = LOT of Event j-Earliest Occurrence Time of j
Optimistic Time given Standard Deviation
Go Optimistic Time = -(6*Standard Deviation-Pessimistic Time)
Standard Deviation of Activity
Go Standard Deviation = (Pessimistic Time-Optimistic Time)/6
Pessimistic Time given Standard Deviation
Go Pessimistic Time = 6*Standard Deviation+Optimistic Time
Least Allowable Occurrence Time of Event i
Go LOT of Event i = LOT of Event j-Duration of i-j
Least Allowable Occurrence Time of Event j
Go LOT of Event j = LOT of Event i+Duration of i-j

Standard Deviation given Probability Factor Formula

Standard Deviation = (Scheduled Time-Mean Time)/Probability Factor
σ = (Ts-te)/Z

What is Probability of Occurrence of an Event?

The probability of a project to complete at expected time is 50% and this probability increases or decreases according to the increase or decrease on scheduled time. Since the probability distribution of the entire project is in normal distribution, the probability can be determined using probability factor. If the factor is 0, probability of completing project at expected time is 50%

How to Calculate Standard Deviation given Probability Factor?

Standard Deviation given Probability Factor calculator uses Standard Deviation = (Scheduled Time-Mean Time)/Probability Factor to calculate the Standard Deviation, The Standard Deviation given Probability Factor formula is defined as representing a measurement of uncertainty in an occurring event. Standard Deviation is denoted by σ symbol.

How to calculate Standard Deviation given Probability Factor using this online calculator? To use this online calculator for Standard Deviation given Probability Factor, enter Scheduled Time (Ts), Mean Time (te) & Probability Factor (Z) and hit the calculate button. Here is how the Standard Deviation given Probability Factor calculation can be explained with given input values -> 1.330049 = (578880-345600)/2.03.

FAQ

What is Standard Deviation given Probability Factor?
The Standard Deviation given Probability Factor formula is defined as representing a measurement of uncertainty in an occurring event and is represented as σ = (Ts-te)/Z or Standard Deviation = (Scheduled Time-Mean Time)/Probability Factor. Scheduled Time is the time which is made as per the experience and practice by the creator of the project, Mean Time, also called expected time is the time needed to complete an activity & The probability Factor is a term used to find the probability of a project getting completed in the expected time.
How to calculate Standard Deviation given Probability Factor?
The Standard Deviation given Probability Factor formula is defined as representing a measurement of uncertainty in an occurring event is calculated using Standard Deviation = (Scheduled Time-Mean Time)/Probability Factor. To calculate Standard Deviation given Probability Factor, you need Scheduled Time (Ts), Mean Time (te) & Probability Factor (Z). With our tool, you need to enter the respective value for Scheduled Time, Mean Time & Probability Factor and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
How many ways are there to calculate Standard Deviation?
In this formula, Standard Deviation uses Scheduled Time, Mean Time & Probability Factor. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Standard Deviation = (Pessimistic Time-Optimistic Time)/6
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