Question

a random sample of 10 subjects have weights with a standard deviation of 12 7040 kg. what is the variance of their weights? be sure to include the appropriate units with the result. the variance of the sample data is (round to four decimal places as needed.)

Explanation:

Step1: Recall the formula for variance

Variance \(s^{2}\) is the square of the standard deviation \(s\). The formula is \(s^{2}=s\times s\).

Step2: Substitute the value of standard deviation

Given \(s = 12.7040\) kg. Then \(s^{2}=(12.7040)^{2}\).
Using the formula \((a\times b)^{2}=a^{2}\times b^{2}\), \((12.7040)^{2}=12.7040\times12.7040\).

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Answer:

The variance of the sample data is \(161.3916\) kg².