Question

1.With any set of scores that is normally distributed, what percentage of the total area falls...

1.With any set of scores that is normally distributed, what percentage of the total area falls

a.between the mean and a score that lies one standard deviation below the mean?

b. between the mean and a score that lies one standard deviation below the mean?

c. between the mean and a score that lies two standard deviations below the mean?

d. between a score that lies three standard deviations below the mean and three standard deviations above the mean?

Math   Statistics-And-Probability   
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Answer #1

According to empirical rule, 68%, 95% and 99.7% of data values lie within 1, 2 and 3 standard deviations of mean.

a. 68% is within 1 standard deviation of mean.

Percentage of area between mean and one standard deviation of mean = 68/2 = 34%

b. Percentage of area between mean and one standard deviation below mean = 68/2 = 34%

c. 95% values are within 2 standard deviations of mean.

Percentage of area between mean and 2 standard deviations below mean = 95/2 = 47.5%

d. Percentage of area between 3 standard deviations below mean and 3 standard deviations above mean = 99.7%

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