Describe how you would draw and label a Normal distribution with mean of 100 and standard deviation of 15.
Solution:
Given in the question
Normal distribution mean ()=
100
Standard deviation()
= 15
According to the empirical rule
we can say that 68% of the data values are between +/- standard
deviation from the mean that means(100-15) = 85 to (100+15) =
115
we can say that 95% of the data values are between +/-2 standard
deviation from the mean that means(100-2*15) = 70 to (100+2*15) =
130
we can say that 99.7% of the data values are between +/- 3 standard
deviation from the mean that means(100-3*15) = 55 to (100+3*15) =
145
These can be drawn at the standard normal curve as follows
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