In: Statistics and Probability
According to the 68-95-99.7 rule what percent of the population are more than 2 standard deviation away from the mean?
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%