If the standard deviation of a set of numbers is 3.6, what is the variance?

Assessment: JAMB UTME - Economics - 2024 Subject: Economics

Question 1 Report

If the standard deviation of a set of numbers is 3.6, what is the variance?
Answer Details

The **variance** of a set of numbers is a measure of how much the numbers in the set differ from the mean (average) of the set. It is calculated as the average of the squared differences from the mean.


The **standard deviation** is simply the square root of the variance. It gives a measure of how spread out the numbers in the set are, using the same units as the original numbers.


Given that the standard deviation of a set of numbers is **3.6**, you can find the variance by squaring the standard deviation. This is because the variance is the square of the standard deviation.


So you calculate the variance as follows:


Variance = (Standard Deviation)2 = **3.6** x **3.6** = **12.96**


So the **variance** is **12.96**.

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