F24 Unit 6 Exam

Front

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

Back

Front

What is the mean of the following data set: 7.1, 9.2, 8.0, 6.1, 14.4, 8.5, 6.1, 6.8, 7.7, 21.5, 6.7, 9.0, 8.4, 7.0, 11.5, 14.1, 9.5, 8.6?

Back

Mean = 9.46.

Front

What is the population standard deviation of the following data set: 7.1, 9.2, 8.0, 6.1, 14.4, 8.5, 6.1, 6.8, 7.7, 21.5, 6.7, 9.0, 8.4, 7.0, 11.5, 14.1, 9.5, 8.6?

Back

Standard Deviation = 3.74.

Front

What sampling method is used when talking to every 7th senator on a list of 100 senators?

Back

Systematic sampling.

Front

What is the correct order of percentages according to the empirical rule?

Back

34%, 13.5%, 2.35%.

Front

Which set of data probably has the points closest to the mean if all sets have the same mean? Set 1-Standard Deviation=3.1, Set 2-Standard Deviation=4.9, Set 3-Standard Deviation=1.7, Set 4-Standard Deviation=3.2?

Back

Set 3.

Front

Define z-score.

Back

A z-score indicates how many standard deviations an element is from the mean.

Front

What does a higher standard deviation indicate about a data set?

Back

A higher standard deviation indicates that the data points are spread out over a wider range of values.

Front

What is the empirical rule in statistics?

Back

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

Front

What is the formula for calculating the mean of a data set?

Back

Mean = \frac{\text{Sum of all data points}}{\text{Number of data points}}.