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Rachael and Peter arc discussing how the mean value and variance affect the dist

ID: 3225025 • Letter: R

Question

Rachael and Peter arc discussing how the mean value and variance affect the distribution graph. As the following graph shows, there are two distributions: A and B Peter said that the distribution A has fatter tail because its has bigger standard deviation than the distribution B. Rachael's answer is different: she thinks the distribution A has a smaller standard deviation than the distribution B. Who do you think is right? Peter Rachael None of them are right. Distribution A and Distribution B have the same standard deviation

Explanation / Answer

Here range for distribution A is 20 to 50 and for distribution B is 20to 80. So standard deviation of distribution A is smaller than standard deviation of distribution B.

Ans: b) Rachael

Her approach is right