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For a normally distributed population, according to the empirical rule Group of answer choices
~95% of the populations lies in the tails, beyond
~2 standard deviations from the mean
~5% of the population lies in the tails, beyond
~2 standard deviations from the mean
~68% of the population is within 1 standard deviation of the mean
~68% of the population lies within 2 standard deviations above the mean
~98% of the population lies within 3 standard deviations of the mean

Answer :

Answer:

b) 5% of the population lies in the tails, beyond  2 standard deviations from the mean    

c) 68% of the population is within 1 standard deviation of the mean

e) 98% of the population lies within 3 standard deviations of the mean

Explanation:

Empirical rule:

  • It states that almost all the data lies within three standard deviation of mean for a normal data.
  • About 68% of data lies within one standard deviation of mean
  • Around 95% of data lies within two standard deviation of mean.
  • Around 98% of data lies within three standard deviation of man.

a) 95% of the populations lies in the tails, beyond  2 standard deviations from the mean

The given statement is false. 95% of data lies within two standard deviations from the mean

b) 5% of the population lies in the tails, beyond  2 standard deviations from the mean

The given statement is correct.

c) 68% of the population is within 1 standard deviation of the mean

The given statement is correct.

d) 68% of the population lies within 2 standard deviations above the mean

The given statement is false.

e) 98% of the population lies within 3 standard deviations of the mean

The given statement is true.

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