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22 March, 23:06

The standard deviation of a data set is 4. What is the variance ?

a. 2

b. 4

c. 8

d. 16

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Answers (1)
  1. 23 March, 02:50
    0
    D. 16

    Step-by-step explanation:

    We know that the standard deviation is the square-root of variance. (+ve sqrt)

    Therefore, the variance = (S. D) ^2 = 16

    And now ... we go for the second question ...

    The z score for a person with marks x is given by (x-mean) / (SD)

    Putting in the known values,

    Required z-score = (7-13) / 4 = - 6/4 = - 1.5
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