A random sample of 10 subjects have weights with a standard deviation of 11.0482 kg. What is the variance of their​ weights? Be sure to incl

Question

A random sample of 10 subjects have weights with a standard deviation of 11.0482 kg. What is the variance of their​ weights? Be sure to include the appropriate units with the result.

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Adalynn 1 week 2021-10-07T11:27:07+00:00 1 Answer 0

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    2021-10-07T11:28:47+00:00

    Answer:

    122.0627kg

    Step-by-step explanation:

    The standard deviation is the square root of the variance.

    That means:

     \sigma =  \sqrt{variance}

    From the question, the standard deviation of the weights of the 10 random subjects is 11.0482kg

    We substitute to get:

    11.0482 =  \sqrt{variance}

    We square both sides to get:

    11.0482^{2} = variance

    122.0627 = variance

    Therefore the variance is 122.0627kg

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