Scores on a test are normally distributed with a mean of 70 and standard deviation of 10. Applying the Empirical Rule, we would expect the middle 95% of scores to fall between what two values?
40 and 100 |
50 and 90 |
55 and 85 |
60 and 80 |
65 and 75 |
According to Empirical rule;
Approximately 95% data will fall into two standard deviation of the mean or in other way between mean and -2 times the standard deviation or mean and 2 times the standard deviation.
That is mathematical form :- μ ± 2σ
In above problem mean = 70 and standard deviation = 10
Hence the 95% data will fall in between
(70-2*10) and ( 70+ 2*10)
Or
(50,90)
Hence Answer will be 50 and 90
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