Empirical Rule Quiz #1

What is the meaning of the empirical rule?

• The empirical rule states that for a normal distribution, approximately 68% of the data falls within one standard deviation of the mean, approximately 95% falls within two standard deviations, and approximately 99.7% falls within three standard deviations.

• The empirical rule states that for a normal distribution, approximately 90% of the data falls within one standard deviation of the mean.

• The empirical rule states that for a normal distribution, approximately 50% of the data falls within one standard deviation of the mean.

• The empirical rule states that for a normal distribution, approximately 99% of the data falls within one standard deviation of the mean.

What is the standard deviation used in the empirical rule?

• 4

• 2

• 1

• 3

How do you find the z-score in the empirical rule?

• Calculate the difference between the value and the mean, and divide it by the standard deviation.

• Subtract the value from the mean, and divide it by the standard deviation.

• Multiply the value by the mean, and divide it by the standard deviation.

• Calculate the sum of the value and the mean, and divide it by the standard deviation.

What is the term used to label the distribution curve in the empirical rule?

• normal curve

• Gaussian curve

• probability curve

• bell curve

How do you find the percentile in the empirical rule?

• By finding the range of the data set.

• By determining the number of standard deviations a data point is from the mean and using the standard normal distribution table.

• By using the z-score formula.

• By calculating the mean and median of the data set.

What are the three ranges in the empirical rule?

• 68-95-99.7

• 65-85-99.8

• 70-90-99.5

• 68-95-99.9

What percentage of data falls within one standard deviation of the mean in the empirical rule?

• 75%

• 50%

• 68%

• 90%

What percentage of data falls within two standard deviations of the mean in the empirical rule?

• 68%

• 75%

• 50%

• 34%

What percentage of data falls within three standard deviations of the mean in the empirical rule?

• 99.7%

• 95%

• 68%

• 90%

What is the formula to calculate the z-score in the empirical rule?

• (x - mean) / standard deviation

• (standard deviation - x) / mean

• (mean - x) / standard deviation

• (x + mean) / standard deviation