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## Credits

NSS College of Engineering (NSSCE), Palakkad
Chandana P Dev has created this Calculator and 400+ more calculators!
Coorg Institute of Technology (CIT), Coorg
Mithila Muthamma PA has verified this Calculator and 300+ more calculators!

## Standard Deviation of an Activity Solution

STEP 0: Pre-Calculation Summary
Formula Used
standard_deviation = (Pessimistic time-Optimistic time)/6
σ = (tp-t0)/6
This formula uses 2 Variables
Variables Used
Pessimistic time - Pessimistic time is the longest time that activity could take if everything is wrong. (Measured in Day)
Optimistic time - Optimistic time is the shortest possible time to complete the activity if all goes well. (Measured in Day)
STEP 1: Convert Input(s) to Base Unit
Pessimistic time: 365 Day --> 31536000 Second (Check conversion here)
Optimistic time: 120 Day --> 10368000 Second (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
σ = (tp-t0)/6 --> (31536000-10368000)/6
Evaluating ... ...
σ = 3528000
STEP 3: Convert Result to Output's Unit
3528000 --> No Conversion Required
FINAL ANSWER
3528000 <-- Standard Deviation
(Calculation completed in 00.016 seconds)

## < 9 Other formulas that you can solve using the same Inputs

PERT expected time
pert_expected_time = (Optimistic time+(4*Most likely time)+Pessimistic time)/6 Go
Optimistic Time when Expected Time is Known
optimistic_time = (6*Mean time)-(4*Most likely time)-Pessimistic time Go
Mean or Expected Time
mean_time = (Optimistic time+(4*Most likely time)+Pessimistic time)/6 Go
Most Likely Time when Expected Time is Known
most_likely_time = (6*Mean time-Optimistic time-Pessimistic time)/4 Go
Pessimistic Time when Expected Time is Known
pessimistic_time = 6*Mean time-Optimistic time-4*Most likely time Go
Optimistic Time when Standard Deviation is Known
optimistic_time = -(6*Standard Deviation-Pessimistic time) Go
Standard Deviation
standard_deviation = (Pessimistic time-Optimistic time)/6 Go
Pessimistic Time when Standard Deviation is Known
pessimistic_time = 6*Standard Deviation+Optimistic time Go
Variance
variance = ((Pessimistic time-Optimistic time)/6)^2 Go

## < 11 Other formulas that calculate the same Output

Standard deviation of hypergeometric distribution
standard_deviation = sqrt((Number of items in sample*Number of success*(Number of items in population-Number of success)*(Number of items in population-Number of items in sample))/((Number of items in population^2)*(Number of items in population-1))) Go
Standard deviation of binomial distribution
standard_deviation = sqrt((Number of trials)*(Probability of Success)*(1-Probability of Success)) Go
Standard deviation of negative binomial distribution
standard_deviation = sqrt((Number of success*Probability of Failure )/(Probability of Success)) Go
Sample standard deviation
standard_deviation = sqrt((sum of difference btw ith term and sample mean^2)/(Number of elements in population-1)) Go
population standard deviation
standard_deviation = sqrt((sum of difference btw ith term and sample mean^2)/Number of elements in population) Go
Standard Deviation
standard_deviation = sqrt(Sum of square of residual variation/(Number of observations-1)) Go
Standard deviation of geometric distribution
standard_deviation = sqrt(Probability of Failure /(Probability of Success^2)) Go
Standard deviation Using Z-score
standard_deviation = (Value of A-Mean of data)/Z-score Go
Standard Deviation
standard_deviation = (Pessimistic time-Optimistic time)/6 Go
Standard deviation of poisson distribution
standard_deviation = sqrt(Mean of data) Go
Standard Deviation Of Data
standard_deviation = (Variance)^2 Go

### Standard Deviation of an Activity Formula

standard_deviation = (Pessimistic time-Optimistic time)/6
σ = (tp-t0)/6

## What is Central Limit Theorem?

Central Limit Theorem states that if a project consist of large number of activities, where each activity has its own mean time, standard deviation and variance then the whole distribution of time for the project will be approximately a normal distribution.

## What is Critical Path?

The time wise longest path is known as the critical path. Ay delay in this path will cause delay for the whole project.

## How to Calculate Standard Deviation of an Activity?

Standard Deviation of an Activity calculator uses standard_deviation = (Pessimistic time-Optimistic time)/6 to calculate the Standard Deviation, The Standard Deviation of an Activity is the measurement of uncertainty which is approximately one-sixth of the time range. . Standard Deviation and is denoted by σ symbol.

How to calculate Standard Deviation of an Activity using this online calculator? To use this online calculator for Standard Deviation of an Activity, enter Pessimistic time (tp) and Optimistic time (t0) and hit the calculate button. Here is how the Standard Deviation of an Activity calculation can be explained with given input values -> 3.528E+6 = (31536000-10368000)/6.

### FAQ

What is Standard Deviation of an Activity?
The Standard Deviation of an Activity is the measurement of uncertainty which is approximately one-sixth of the time range. and is represented as σ = (tp-t0)/6 or standard_deviation = (Pessimistic time-Optimistic time)/6. Pessimistic time is the longest time that activity could take if everything is wrong and Optimistic time is the shortest possible time to complete the activity if all goes well.
How to calculate Standard Deviation of an Activity?
The Standard Deviation of an Activity is the measurement of uncertainty which is approximately one-sixth of the time range. is calculated using standard_deviation = (Pessimistic time-Optimistic time)/6. To calculate Standard Deviation of an Activity, you need Pessimistic time (tp) and Optimistic time (t0). With our tool, you need to enter the respective value for Pessimistic time and Optimistic time 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 Pessimistic time and Optimistic time. We can use 11 other way(s) to calculate the same, which is/are as follows -
• standard_deviation = (Pessimistic time-Optimistic time)/6
• standard_deviation = (Variance)^2
• standard_deviation = (Value of A-Mean of data)/Z-score
• standard_deviation = sqrt((Number of trials)*(Probability of Success)*(1-Probability of Success))
• standard_deviation = sqrt((Number of success*Probability of Failure )/(Probability of Success))
• standard_deviation = sqrt(Probability of Failure /(Probability of Success^2))
• standard_deviation = sqrt((Number of items in sample*Number of success*(Number of items in population-Number of success)*(Number of items in population-Number of items in sample))/((Number of items in population^2)*(Number of items in population-1)))
• standard_deviation = sqrt(Mean of data)
• standard_deviation = sqrt((sum of difference btw ith term and sample mean^2)/Number of elements in population)
• standard_deviation = sqrt((sum of difference btw ith term and sample mean^2)/(Number of elements in population-1))
• standard_deviation = sqrt(Sum of square of residual variation/(Number of observations-1)) Let Others Know
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