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In: Statistics and Probability

According to the 68-95-99.7 rule what percent of the population are more than 2 standard deviation...

According to the 68-95-99.7 rule what percent of the population are more than 2 standard deviation away from the mean?

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SOLUTION:

From given data,

According to the 68-95-99.7 rule what percent of the population are more than 2 standard deviation away from the mean?

68-95-99.7 rule :

The normal distribution is commonly associated with the 68-95-99.7 rule which you can see in the image above.

68% of the data is within 1 standard deviation (σ) of the mean (μ),

95% of the data is within 2 standard deviations (σ) of the mean (μ), and

99.7% of the data is within 3 standard deviations (σ) of the mean (μ).

what percent of the population are more than 2 standard deviation away from the mean

95% of the data is within 2 standard deviations (σ) of the mean (μ)

So, the percent of the population are more than 2 standard deviation away from the mean

= 100 - 95 = 5%


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