Answer :
All normal distributions extend out three standard deviations in both directions from the mean then end: A. True.
What is the Empirical Rule?
The Empirical Rule is also referred to as the 68-95-99.7 rule and it can be defined as a statistical rule which states that:
- The middle 68% of a normal distribution would be within 1 standard deviation of its mean.
- The middle 95% of a normal distribution would be within 2 standard deviations of its mean.
- The middle 99.7% of a normal distribution would be within three standard deviations of its mean.
In this context, we can infer and logically deduce that it is true that all normal distributions would extend out three (3) standard deviations in both directions from the mean then end.
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