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To calculate variance, (population standard deviation squared), usually written as σ2, first find the mean.
In this case, ( 3 + 5 + 6 + 4 + 7 + 7 +8 ) / 7 = 40/7 ≈ 5.7143
Then find the difference between every number and the mean.
5.7143 - 3 = 2.7143
5.7143 - 5 = 0.7143
5.7143 - 6 = -0.2857
5.7143 - 4 = 1.7143
5.7143 - 7 = -1.2857
5.7143 - 7 = -1.2857
5.7143 - 8 = -2.2857
Then square all of the differences.
7.3674
0.5102
0.0816
2.9388
1.6530
1.6530
5.2244
Then add the products together.
19.4284
Then divide by the number of numbers in the set of data (7) for the variance.
σ2 ≈ 2.78
Since you are using the entire population, you use the population standard deviation instead of the sample standard deviation.
In statistics, you are more likely to see sample standard deviation, but since there are only seven numbers in the data set, we use the population standard deviation.
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∙ 11y ago
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What is the variance of 1 3 and 5?
var=4
What is the variance of 3 15 2 5 5?
The variance is 27.0
What is the variance for 3 5 12 3 2?
The variance for 3 5 12 3 2 is: 16.5
What factors causes Budget Variance?
There are 7 variances associated with a budget ( which are generally calculated for controlling purposes) 1- Material Price variance 2- Material Quantity variance 3- Labor rate variance 4- Labor efficiency variance 5- Spending variance 6- Efficiency variance 7- Capacity variance
What is the variance of 5 9 8 9 9?
The variance of 5 9 8 9 9 = 3
What is the variance of 1 3 and 5?
var=4
What is the variance of 3 15 2 5 5?
The variance is 27.0
What is the variance for 3 5 12 3 2?
The variance for 3 5 12 3 2 is: 16.5
What is the variance of 2 3 5 12?
The variance of 2 3 5 12 = 20.3333
What factors causes Budget Variance?
There are 7 variances associated with a budget ( which are generally calculated for controlling purposes) 1- Material Price variance 2- Material Quantity variance 3- Labor rate variance 4- Labor efficiency variance 5- Spending variance 6- Efficiency variance 7- Capacity variance
What is the variance of 5 9 8 9 9?
The variance of 5 9 8 9 9 = 3
How To Calculate Standard Deviation?
You can calculate standard deviation by addin the numbers of data that are together and dividing that number by the amount pieces of data.THAT IS TOTALLY INCORRECT.What was answered above was the calculation for getting an (mean) average.If you take five numbers for example 1, 2, 3, 4, 5 then the (mean) average is 3.But the standard deviation between them is 1.58814 and the variance is 2.5Also the population std. deviation will be 1.41421 and the population variance will be 2.see standard-deviation.appspot.com/
What is the standard deviation of 1 2 3 4 5 6 7 8 9 10?
Variance = 2.87 (approx).
What is the variance of these five scores 0 0 1 2 3?
Average = (0+0+1+2+3)/5 = 1.2 Variance = 1/N * SUM (x-E(x))2 = 1/5 * 6.8 = 1.36 Answer: Variance = 1.36
What is the variance of the data set of 18 14 10 9 5?
- 4
What is the sample variance and the estimated standard error for a sample of n 4 scores with SS 300?
The sample variance is obtained by dividing SS by the degrees of freedom (n-1). In this case, the sample variance is SS/(n-1) = 300/(4-1) = 300/3 = 100 In order to get the standard error, you can do one of two things: a) divide the variance by n and get the square root of the result: square.root (100/4) = square.root(25) = 5, or b) get the standard deviation and divide it by the square root of n. 10/square.root(4) = 10/2 = 5
How do you calculate 1-2 plus 3-4 plus 5-6-100?
1 - 2 + 3 - 4 + 5 - 6 - 100 = 103
