How do I find the variance for a sample of 15Numbers given are 52,70,50,61,49,46,48,55,47,68,61,70,71 and 69

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How do I find the variance for a sample of 15
Numbers given are 52,70,50,61,49,46,48,55,47,68,61,70,71 and 69

Expert Solution
Step 1

Here a sample of 14 data points are given it was mentioned as 15 in question. We need to compute the variance of the sample and we consider n = 14 as only 14 data points are given.

 

Variance of a sample is calculated by the following formula.

Statistics homework question answer, Step 1, Image 1
Step 2

Here first we have to find mean of the given sample data of 14 numbers. Mean can be calculated by adding all data points and dividing the sum by total number of data points 14. By doing so we get mean =58.357

Statistics homework question answer, Step 2, Image 1
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