3.1 - 3.2 Practice

Front

What is a z-score?

Back

Front

How do you calculate the standard deviation from a z-score?

Back

Front

What is the Empirical Rule in statistics?

Back

The Empirical Rule states that for a normal distribution: 68% of data falls within 1 standard deviation, 95% within 2 standard deviations, and 99.7% within 3 standard deviations of the mean.

Front

What does it mean if a score is at the mean in a normal distribution?

Back

A score at the mean indicates that it is the average score, and 50% of the scores lie below this value.

Front

If the mean is 70 and the standard deviation is 5, what is the z-score for a score of 75?

Back

Front

What percentage of scores are less than the mean in a normal distribution?

Back

50% of scores are less than the mean in a normal distribution.

Front

What is the formula to find the z-score for a population?

Back

Front

In a normal distribution, what does a z-score of 0 indicate?

Back

A z-score of 0 indicates that the score is exactly at the mean.

Front

How do you interpret a z-score of 1.5?

Back

A z-score of 1.5 means the score is 1.5 standard deviations above the mean.

Front

What is the significance of the standard deviation in a normal distribution?

Back

The standard deviation measures the dispersion or spread of the data points around the mean.