Question

In: Statistics and Probability

Question 2 In a normal distribution, approximately __________ percent of the distribution falls between one standard...

Question 2

In a normal distribution, approximately __________ percent of the distribution falls between one standard deviation below the mean and one standard deviation above the mean

Question 3

In a normal distribution, approximately __________ percent of the distribution falls between two standard deviations below the mean and two standard deviations above the mean.

Question 4

In a normal distribution, approximately __________ percent of the distribution falls between three standard deviations below the mean and three standard deviations above the mean.

Expert Solution

Empirical rule:

The empirical rule states that for a normal distribution:

· 68% of the data will fall within one standard deviation of the mean.

· 95% of the data will fall within two standard deviations of the mean.

· Almost all (99.7%) of the data will fall within three standard deviations of the mean.

Therefore,

Q2)

In a normal distribution, approximately _68_ percent of the distribution falls between one standard deviation below the mean and one standard deviation above the mean

Q3)

In a normal distribution, approximately _95_ percent of the distribution falls between two standard deviations below the mean and two standard deviations above the mean.

Q4)

In a normal distribution, approximately _99.7_ percent of the distribution falls between three standard deviations below the mean and three standard deviations above the mean.

orchestra answered 2 years ago

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