Consider a sample data set with the following summary

Chapter 4, Problem 118E

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QUESTION:

Consider a sample data set with the following summary statistics: s = 95, \(Q_L=72,\ Q_U=195\).

a. Calculate IQR.

b. Calculate IQR/s.

c. Is the value of IQR/s approximately equal to 1.3? What does this imply?

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QUESTION:

Consider a sample data set with the following summary statistics: s = 95, \(Q_L=72,\ Q_U=195\).

a. Calculate IQR.

b. Calculate IQR/s.

c. Is the value of IQR/s approximately equal to 1.3? What does this imply?

ANSWER:

Step 1 of 3

Here we have the following summary statistics for the sample data.

The sample standard deviation, s = 95.

The lower and upper Quartiles are  and  respectively.

a)

By definitions, the interquartiles range is given as follows:

     

                      = 195 - 72

             =  

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