Empirical Rule Quiz #2

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 50% of the data falls within one standard deviation of the mean.

• 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 99% of the data falls within one standard deviation of the mean.

What is the standard deviation in the empirical rule?

• Mean of the data.

• Square root of the variance

• Median of the data.

• Mode of the data.

What percentage of data is within 1 standard deviation in the empirical rule?

• 50%

• 75%

• 68%

• 90%

What percentage of data is within 2 standard deviations in the empirical rule?

• 95%

• 80%

• 90%

• 99%

What is a z-score?

• A z-score is a statistical measure that describes how many standard deviations an element is from the mean of a distribution.

• A z-score is a measure of the central tendency of a distribution.

• A z-score is a measure of the correlation between two variables.

• A z-score is a measure of the spread of data in a distribution.

In the empirical rule, what percentage of data is within 3 standard deviations?

• 95%

• 99.7%

• 98%

• 90%

What is the range of values covered by the empirical rule?

• The range of values covered by the empirical rule is approximately 1 standard deviation on either side of the mean.

• The range of values covered by the empirical rule is approximately 5 standard deviations on either side of the mean.

• The range of values covered by the empirical rule is approximately 3 standard deviations on either side of the mean.

• The range of values covered by the empirical rule is approximately 2 standard deviations on either side of the mean.

How many standard deviations are used in the empirical rule?

• 3

• 10

• 5

• 1

What is the formula to calculate the z-score?

• (x + μ) / σ

• (x - μ) / σ

• (x + μ) * σ

• (x - μ) * σ

What is the purpose of the empirical rule in statistics?

• To identify outliers in a dataset.

• To determine the median of a dataset.

• To provide a guideline for understanding the distribution of data in a normal distribution.

• To calculate the standard deviation of a dataset.