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26 June, 08:17

A random sample of 10 subjects have weights with a standard deviation of 11.6118 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.)

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Answers (1)
  1. 26 June, 08:26
    0
    The variance of the sample data is 134.8339 kg²

    Step-by-step explanation:

    Let's recall that the Standard deviation of a sample or population is the square root of the Variance, therefore:

    Standard deviation = √Variance

    Standard deviation² = (√Variance) ²

    Standard deviation² = Variance

    Replacing with the value we have:

    11.6118 * 11.6118 = Variance

    Variance = 134.8339 kg²

    The variance of the sample data is 134.8339 kg²
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