Suppose the gpa scores of the students in a class are normally distributed with a mean of 3.4 and a standard deviation of 0.2 . Use the empi

Question

Suppose the gpa scores of the students in a class are normally distributed with a mean of 3.4 and a standard deviation of 0.2 . Use the empirical rule to find the percentage of students in this class with a GPA
Between 3.2 and 3.6 ( 1 standard deviation)

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    2021-09-09T02:21:23+00:00

    Suppose the gpa scores of the students in a class are normally distributed with a mean of 3.4 and a standard deviation of 0.2

    We need to find how far 3.2 from 3.4

    3.4 – 3.2 = 0.2  that is 1 standard deviation from mean (left)

    Also we find how far 3.6 from 3.4

    3.6 – 3.4 = 0.2  that is 1 standard deviation from mean (right)

    As per empirical rule , 68% of values fall within 1 standard deviation from mean

    so 68% of students in this class with a GPA  Between 3.2 and 3.6

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