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In a normal distribution, 95% of the data falls within 1 standard deviation of
the mean.

true or false


Sagot :

Answer:

False.

Step-by-step explanation:

In a normal distribution, 95% of the data falls within 2 standard deviations of the mean.

False, In a normal distribution, 95% of the data do not falls within 1 standard deviation of the mean.

Is the statement correct ?

The empirical rule or 68-95-99.7% rule can give us a good info about normal distribution.

This rule tells us that around 68% of the data will fall within one standard deviation of the mean, whereas around 95% will fall within two standard deviations of the mean and 99.7% will fall within three standard deviations of the mean.

Here given that, in a normal distribution, 95% of the data falls within 1 standard deviations of the mean, which is wrong because in the above description we states that, 95% will fall within two standard deviations of the mean.

So, the given statement is false.

Learn more about standard deviation here :

https://brainly.com/question/27798849

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