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Part I Practice Problems on Descriptive Statistics from Formula Reviews From Quick Notes Statistics may help with these problems.

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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     

Problem Answers

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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