Question

Only a very small (<5) percentage of measurements can be more than 2 standard deviations from the mean of the normal distribution.

A. True
B. False

Answer 1

The answer is true

Explanation:

True

Answer 2

A. True

Explanation:

The empirical rule in statistics states that:

• 68% of the data will be within 1 standard deviation
• 95% of the data will be within 2 standard deviations
• 99.7% of the data will be within 3 standard deviations

So yes, we can state that 5% or less of the data will be more than 2 standard deviations away from the mean. Of course, statistics is not 100% certain, so this rule is not 100% right all the time. Some exceptions might result, but generally speaking, the results should follow the empirical rule.