Pessimistic Time given Standard Deviation Calculator

✖The Standard Deviation is a measure of how spread out numbers are.ⓘ Standard Deviation [σ]			+10% -10%
✖Optimistic Time is the shortest possible time to complete the activity if all goes well.ⓘ Optimistic Time [t₀]			+10% -10%

✖A Pessimistic Time is the longest time that an activity could take if everything is wrong.ⓘ Pessimistic Time given Standard Deviation [t_p]

⎘ Copy

👎

Formula

LaTeX

Reset

👍

Download Project Evaluation and Review Technique Formulas PDF PDF Image

Pessimistic Time given Standard Deviation Solution

STEP 0: Pre-Calculation Summary

Formula Used

Pessimistic Time = 6*Standard Deviation+Optimistic Time
t_p = 6*σ+t₀
This formula uses 3 Variables

Variables Used

Pessimistic Time - (Measured in Day) - A Pessimistic Time is the longest time that an activity could take if everything is wrong.
Standard Deviation - The Standard Deviation is a measure of how spread out numbers are.
Optimistic Time - (Measured in Day) - Optimistic Time is the shortest possible time to complete the activity if all goes well.

STEP 1: Convert Input(s) to Base Unit

Standard Deviation: 1.33 --> No Conversion Required
Optimistic Time: 2 Day --> 2 Day No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

t_p = 6*σ+t₀ --> 6*1.33+2

Evaluating ... ...

t_p = 9.98

STEP 3: Convert Result to Output's Unit

862272 Second -->9.98 Day (Check conversion here)

FINAL ANSWER

9.98 Day <-- Pessimistic Time

(Calculation completed in 00.004 seconds)

You are here -

Home » Engineering » Civil » Construction Practice, Planning and Management » Project Evaluation and Review Technique » Pessimistic Time given Standard Deviation

Credits

Created by Chandana P Dev

NSS College of Engineering (NSSCE), Palakkad

Chandana P Dev has created this Calculator and 500+ more calculators!

Verified by Mithila Muthamma PA

Coorg Institute of Technology (CIT), Coorg

Mithila Muthamma PA has verified this Calculator and 700+ more calculators!

< Project Evaluation and Review Technique Calculators

Optimistic Time given Expected Time

LaTeX Go Optimistic Time = (6*Mean Time)-(4*Most Likely Time)-Pessimistic Time

Mean or Expected Time

LaTeX Go Mean Time = (Optimistic Time+(4*Most Likely Time)+Pessimistic Time)/6

Most Likely Time given Expected Time

LaTeX Go Most Likely Time = (6*Mean Time-Optimistic Time-Pessimistic Time)/4

Pessimistic Time given Expected Time

LaTeX Go Pessimistic Time = 6*Mean Time-Optimistic Time-4*Most Likely Time

Pessimistic Time given Standard Deviation Formula

LaTeX Go

Pessimistic Time = 6*Standard Deviation+Optimistic Time
t_p = 6*σ+t₀

What is Programme Evaluation and Review Technique (PERT)?

It is a numerical technique used in projects in which time cannot be estimated accurately such as research and development projects. It is an event-oriented network. Cost is assumed to be directly proportional to time.
Three time estimates are made in PERT.
1. Optimistic time (to): This is the minimum possible time in which an activity can be completed under the most ideal conditions.
2. Pessimistic time (tp): This is the maximum time required to complete an activity under the worst possible conditions.
3. Most likely time (tm): This is the time required to complete an activity under normal working conditions. It's value lies between to and tp It is near to the expected time.

What is Central Limit Theorem and Critical Path?

Central Limit Theorem: The theorem states that a project consists of a large number of activities, where each activity has its own mean time (te), standard deviation (σ), variance (σ2) and also its own ß-distribution curve.
Critical Path: The time-wise longest path is the critical path. In this path, any type of delay in any event will cause a delay in the project. These are shown by double lines or dark lines in a network.

How to Calculate Pessimistic Time given Standard Deviation?

Pessimistic Time given Standard Deviation calculator uses Pessimistic Time = 6*Standard Deviation+Optimistic Time to calculate the Pessimistic Time, The Pessimistic Time given Standard Deviation formula is defined as giving the maximum time required for the completion of a project under the worst conditions. Pessimistic Time is denoted by t_p symbol.

How to calculate Pessimistic Time given Standard Deviation using this online calculator? To use this online calculator for Pessimistic Time given Standard Deviation, enter Standard Deviation (σ) & Optimistic Time (t₀) and hit the calculate button. Here is how the Pessimistic Time given Standard Deviation calculation can be explained with given input values -> 0.000116 = 6*1.33+172800.

FAQ

What is Pessimistic Time given Standard Deviation?

The Pessimistic Time given Standard Deviation formula is defined as giving the maximum time required for the completion of a project under the worst conditions and is represented as t_p = 6*σ+t₀ or Pessimistic Time = 6*Standard Deviation+Optimistic Time. The Standard Deviation is a measure of how spread out numbers are & Optimistic Time is the shortest possible time to complete the activity if all goes well.

How to calculate Pessimistic Time given Standard Deviation?

The Pessimistic Time given Standard Deviation formula is defined as giving the maximum time required for the completion of a project under the worst conditions is calculated using Pessimistic Time = 6*Standard Deviation+Optimistic Time. To calculate Pessimistic Time given Standard Deviation, you need Standard Deviation (σ) & Optimistic Time (t₀). With our tool, you need to enter the respective value for Standard Deviation & 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 Pessimistic Time?

In this formula, Pessimistic Time uses Standard Deviation & Optimistic Time. We can use 1 other way(s) to calculate the same, which is/are as follows -

Pessimistic Time = 6*Mean Time-Optimistic Time-4*Most Likely Time

Home

FREE PDFs

🔍 Search