The population variance of a finite population of size N is calculated by following formula:

Where:
σ² = population variance
x1, ..., xN = the population data set
μ = mean of the population data set

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μ = 5.75 Except you are considering the wrong population. The salaries of these employees are as under. Conversely, if the measurement varies by just a small amount, then you would expect a small variance. Solution: Use the following data for the calculation of population variance. Confidence interval for population variance Calculator. 2 = 14.0625 =(30+27+20+40+32+31)/6 =180/6 =\$ 30. Ruby is a third-grade teacher. Population variance can be generally derived by dividing the sum of the squared deviation from the mean value. You can also see the work peformed for the calculation. ∑(x - μ)2 = 32.75 Poker Variance Calculator for cash games. Variance Calculator is a free online tool that displays the variance for the given set of data. To calculate the variance from a set of values, specify whether the data is for an entire population or from a sample. Online population variance calculator to calculate the variance of data for the whole population. 2.1 How to use Confidence Interval for Variance Calculator? Sample/Population Variance Calculator For the given set of values, the calculator will find their variance (either sample or population), with steps shown. This calculator will generate an estimate of a population variance by calculating the pooled variance (or combined variance) of two samples under the assumption that the samples have been drawn from a single population or two populations with the same variance. ... You chose that as a way to include essentially all of a population as is common in statistics. Covariance formula, assumptions, examples, and applications. The Population Variance Calculator can get the results instantly." .accordion{background-color:#eee;color:#444;cursor:pointer;padding:18px;width:100%;border:none;text-align:left;outline:none;font-size:16px;transition:0.4s}.accordion h3{font-size:16px;text-align:left;outline:none;}.accordion:hover{background-color:#ccc}.accordion h3:after{content:"\002B";color:#777;font-weight:bold;float:right;}.active h3:after{content: "\2212";color:#777;font-weight:bold;float:right;}.panel{padding:0 18px;background-color:white;overflow:hidden;}.hidepanel{max-height:0;transition:max-height 0.2s ease-out}.panel ul li{list-style:disc inside}. In this online population variance calculator enter the list of population or data separated by a comma and you will get the population variance for the given population or data. μ = (4 + 8 + 2 + 9) / 4 Press the "Submit Data" button to perform the computation. Pooled Variance Calculator. The population variance of a finite population of size N is calculated by following formula: Below is a variance calculator, which will calculate the variance from a list of your numbers. The next step is to find the mean value. The calculator above computes population standard deviation and sample standard deviation, as well as confidence interval approximations. You may also copy and paste data into the text box. Each student is timed to read six pages in the classroom reading books. n for the population. ∑(x - μ)2 = 3.0625 + 5.0625 + 14.0625 + 10.5625 Lets consider x value 4,8,2,9. 4 = 3.0625 The Population Variance Calculator can get the results instantly. Population variance, or simply referred to as the variance is calculated by taking the differences between each number in the set and the mean, squaring the differences and dividing the sum of the squares by the number of values in the set. 3 Confidence Interval for Variance Theory; 4 Assumptions; 5 Step by Step procedure. Following are the steps which can be followed to calculate Population Variance: Find whether the data set you are working is sample or population. } }]} } },{ "@type": "Question", "name": "What is the formula for calculating Population Variance? Let's say that you have the following values: 21, 12, 16, 20, 26. Enter the observed values in the box above. She has been working with her students on reading. The population variance of a finite population of size N is calculated by following formula: Where:σ2 = population variancex1, ..., xN = the population data setμ = mean of the population data setN = size of the population data set. σ2 = 32.75 / 4 ", "acceptedAnswer": { "@type": "Answer", "text": "

The population variance of a finite population of size N is calculated by following formula:

Where:
σ² = population variance
x1, ..., xN = the population data set
μ = mean of the population data set