What is Assumed Mean Method?
Assumed Mean Method, also known as the “Shortcut Method“. Assumed Mean Method works by choosing an assumed mean (A) close to the actual mean, and then calculating deviations from this assumed mean to calculate the actual mean of the given dataset.
Assumed Mean Method Formula
Assumed Mean Method simplifies the calculation of the mean by using an assumed mean (A). The formula for the Assumed Mean Method is:
x̄ = a + ∑ƒidi /∑ƒi
Where,
- a is assumed mean,
- ƒi is frequency of ith class,
- di = xi – a is derivation of ith class,
- ∑ƒi = n is total number of observations
- xi is class mark and is equal to (upper class limit + lower class limit)/2
Assumed Mean Method
Assumed Mean Method is a statistical technique that is used to calculate the arithmetic mean of a group of data. It is particularly helpful when dealing with large numbers in grouped data. This method involves selecting a central value, known as the assumed mean, and then adjusting the calculations around this value to make the arithmetic more manageable.
For instance, if you have a data set with class intervals and their respective frequencies, the assumed mean method allows you to break down the problem into simpler steps, making it easier to find the mean without any hard calculations.
Table of Content
- What is Mean?
- What is Assumed Mean Method?
- Assumed Mean Method Formula
- Steps to Find Mean using Assumed Mean Method
- Direct, Assumed Mean and Step Deviation Method
- Solved Examples
- Practice Questions
- FAQs on Assumed Mean Method