Question

For the Data Set below, calculate the Variance to the nearest hundredth decimal place. (Do not use a coma in your answer) 175 349 234 512 638 549 500 611

Answer 1

The variance of the data is 29966.3.

Explanation:

The given data set is

175, 349, 234, 512, 638, 549, 500, 611

We need to find the variance to the nearest hundredth decimal place.

Mean of the data

`Mean=(\sum x)/(n)`

where, n is number of observation.

`Mean=(3568)/(8)=446`

The mean of the data is 446.

`Variance=(\sum (x-mean)^2)/(n-1)`

`Variance=(209764)/(7)`

`Variance=29966.2857`

`Variance\approx 29966.3`

Therefore, the variance of the data is 29966.3.