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9 October, 08:49

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

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Answers (1)
  1. 9 October, 09:15
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    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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