Chapter 5 Test-Measures of Dispersion in Business Chapter Exam

What is a Z-score?

• The number of standard deviations from the mode.

• A measurement of the distance from the mean to a point in terms of standard deviations.

• The average of the standard deviation and the mean.

• A measurement of the distance from the mode to a point in terms of the median.

Where is the normal distribution curve at its highest point?

• Z-score of 1

• Z-score of 3

• Z-score of 2

• Mean

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CCSS.HSS.ID.A.4

A statistician has figured out the percentage of the area under a normal curve that meets certain criteria. How would they apply this knowledge to a given sample?

• They would multiply the percentage by the total sample size.

• They would divide the total sample size by the percentage.

• They would use the percentage to determine a Z-score, and add it to the sample size.

• They would use the percentage to determine a Z-score, and subtract it from the sample size.

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CCSS.HSS.ID.A.4

Find the standard deviation for the following data set: 16, 20, 14, 24, 16, 19, 30, and 8

• 5.4

• 38.48

• 307.87

• 18.375

• 6.28

Find the range for one standard deviation in the following data set: 16, 20, 14, 24, 16, 19, 30, and 8

• 12.175 to 24.575

• 0 to 18.375

• 8 to 30

• 8 to 18.375

• 12.175 to 19.35

Find the variance for the following data set: 101, 106, 125, 142, 78, and 109

• 31

• 2370

• 1988

• 395

• 110

What type of data distribution is not appropriate to use with Chebyshev's inequality?

• A normal distribution

• A logarithmic distribution

• It is usable for all data distributions

• A random distribution

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CCSS.HSS.ID.A.4

What attribute of data is quantified using Chebyshev's inequality?

• The mean and median of a data distribution

• The dispersion or spread of a data distribution

• The fit of the data to a normal distribution

• The standard deviation of a data distribution

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CCSS.HSS.ID.A.4

Using Chebyshev's inequality, what minimal percentage of values will lie within 2 standard deviations of the mean?

• 95%

• 75%

• 89%

• 68%

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CCSS.HSS.ID.A.4

What is the variance that would be calculated from 5 data points that all had the same value?

• It would equal zero

• It cannot be calculated, as you would have to divide by 0

• It would be the same as the average, minus 1

• It would be the same as the individual data point values