Question

If a distribution has a mean of 100 and a standard deviation of 15, what value would be 2 standard deviations from the mean

Answer 1

The value that is 2 standard deviations from the mean is; 130

What is Empirical Rule?

For this question, we will use Z-score and as such whether the value is below or above mean (shown by positive or negative sign) and by how much (times the standard deviation).

Thus;

Calculated value = μ + zσ

where;

μ is mean

σ is standard deviation

Hence, the value that would be +2 standard deviations from the mean is;

Calculated value = 100 + 2(15)

Calculated value = 130

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