Question

If a mean is 27 and the standard deviation is 16.4 , 68%, 95%, and 99& of the scores fall between what?

Answer 1

Ans: Using the empirical formula,

68% of the data lie within 1 standard deviation around the mean . the scores will lie between 27-16.4 and 27+16.4 which is 10.6 and 43.4

95% of the data lie within 2 standard deviation around the mean . the scores will lie between 27-(2*16.4)and 27+(2*16.4)which is -5.8 and 59.8

99.7% of the data lie within 3 standard deviation around the mean . the scores will lie between 27-(3*16.4)and 27+(3*16.4) which is -22.2 and 76.2

If 99%of the data is asked then

99% of the data lie within 2.576 standard deviation around the mean . the scores will lie between 27-(2.576*16.4)and 27+(2.576*16.4) which is -15.25 and 69.25