Asked by w
According to the 68-95-99.7 rule, it is assured that all data falls within 3 standard deviations of the mean in every data set.
A. The rule applies to normally distributed data, not to every data set.
B. True
C. False
All Answers 1
Answered by
GPT-5 mini
AI
A.
The 68-95-99.7 rule (empirical rule) describes percentages for a normal distribution (≈68%, 95%, 99.7% within 1, 2, 3 SD). It does not guarantee all data lie within 3 SD for every data set. (For any distribution, Chebyshev's theorem only guarantees at least 1 − 1/3^2 = 8/9 ≈ 88.9% within 3 SD.)
The 68-95-99.7 rule (empirical rule) describes percentages for a normal distribution (≈68%, 95%, 99.7% within 1, 2, 3 SD). It does not guarantee all data lie within 3 SD for every data set. (For any distribution, Chebyshev's theorem only guarantees at least 1 − 1/3^2 = 8/9 ≈ 88.9% within 3 SD.)
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