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

Question

Andru [333]

3 years ago

7

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

tion.
A. True
B. False

Mathematics

2 answers:

ElenaW [278] · Answer 1 · 2022-07-11T00:48:19+03:00

ElenaW [278]3 years ago

6 0

Answer:

The answer is true

Step-by-step explanation:

True

horsena [70] · Answer 2 · 2022-07-10T23:12:11+03:00

Answer:

A. True

Step-by-step 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.