Part I Practice Problems on Descriptive Statistics
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More Practice Problems  Part II Probability   Part III Inferential Statistics   Part IV Correlation/Regression


Problem Answers

Formula Reviews From Quick Notes Statistics may help with these problems.

Calculate the following using this sample data. Where appropriate, state the symbol for the 
measure and the formula used. Those not using a calculator or computer should show all work.

Data: 20, 6, 15, 22, 13, 9, 2, 20, 10     

1.    Mean

 

 

 

2.   Median


 


3.    Mode



4.  Variance

 

 

5.    Standard Deviation

 

 

 


6    Pearson's Coefficient of skewness

 

 

 

7.    85th percentile

 

 

 

8.    Third decile


 

 

 

9.  Interquartile range

 

 

 

 

 

 

10.    Use a paragraph or two containing complete sentences to define two variables, one that is skewed positively and one that is skewed negatively. Explain why you think the data is skewed.

 





 

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Problem Answers

1) 13 2) 13 3) 20 4) 47.25 5) 6.87 6) 0 7) 20.3 8) 9.2 9) 20.0 - 8.25 = 11.75 10) Income is skewed to the right. Hopefully, hours studying is skewed to the left.

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