If the mean of a normal distribution is negative: a. the standard deviation must also be negative. b. the variance must also be negative. c. a mistake has been made in the computations, because the mean of a normal distribution can not be negatived. None of these alternatives is correct.

Question

Mathematics

Yoselin Booker

8 November, 01:54

If the mean of a normal distribution is negative: a. the standard deviation must also be negative. b. the variance must also be negative. c. a mistake has been made in the computations, because the mean of a normal distribution can not be negatived. None of these alternatives is correct.

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Answers (1)

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Mariela Leach · Answer 1

None of these alternatives is correct

Step-by-step explanation:

Given that the mean of a normal distribution is negative.

The mean can be negative or positive.

But variance being sum of squares of each entry from mean it can never be negative

Standard deviation, by convention is taken as square root of variance.

a. the standard deviation must also be negative.

- - False.

b. the variance must also be negative.

- - False

c. a mistake has been made in the computations, because the mean of a normal distribution can not be negatived.

False mean can be negative.

None of these alternatives is correct.- - True

So last option is right.