1) the set of grades from different classes is recorded. inthe first class, the

Question

1) the set of grades from different classes is recorded. inthe first class, the mean is 80 and the standard deviation is 2. inthe second class, the mean is 70 and the standard deviation is 5.in the third class, the mean is 72 and the standard deviation is 4.in which class does it appear that a student is most likely torecieve a grade of 90 or higher. a) thirdclass                                 b) secondclass                           c)first class 1) the set of grades from different classes is recorded. inthe first class, the mean is 80 and the standard deviation is 2. inthe second class, the mean is 70 and the standard deviation is 5.in the third class, the mean is 72 and the standard deviation is 4.in which class does it appear that a student is most likely torecieve a grade of 90 or higher. a) thirdclass                                 b) secondclass                           c)first class

Explanation / Answer

In statistics, the 68-95-99.7 rule, orthree-sigma rule, or empiricalrule, states that for a normal distribution nearly allvalues lie within 3 standard deviations of themean. So for the first class, most grades lie in the range 80+/-3*2i.e 74 to 86 For the second class, most grades lie in te range 70+/-3*5 i.e55 to 85 For the third class, most grades lie in the range 72+/-3*4 i.e60 to 84 The chances of outliers i.e score of 90 or more is maximum inthe third class

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