Question

Suppose the following data set gives the age a person first receives a winning lottery ticket. Use JMP to answer the questions below. Use JMP to answer the questions below. 35 43 16 30 20 32 25 26 32 30 18 35 21 27 34 5 38 31 38 41 15 22 28 38

Find

- Interpret the interquartile range.

-Determine if the data set contains any outliers. Show your work. If there are outliers, make sure and state which data values are outliers.

- Construct a boxplot (modified boxplot)

- find the typical data value of the data set.

Answer 1

quartile , Q1 = 0.25(n+1)th value=   5.75th value of sorted data=   20.75
      
Quartile , Q3 = 0.75(n+1)th value=   17.25th value of sorted data=   35
      
IQR = Q3-Q1 =    35-20.75=   14.3
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1.5IQR =    21.38
  
lower bound=Q1-1.5IQR=   -0.63
upper bound=Q3+1.5IQR=   56.38
  
  
outlier =values outside lower bound and upper bound  

there is no outlier

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