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Do the following based on the data in Exercise 5.4.5. (a) Compute the order statistics for these…

Do the following based on the data in Exercise 5.4.5.

 (a) Compute the order statistics for these data.

 (b) Calculate the empirical distribution function at the data points.

 (c) Calculate the sample mean and the sample standard deviation.

(d) Obtain the sample median and the sample interquartile range.

(e) Based on the histograms obtained in Exercise 5.4.5, which set of descriptive statistics do you feel are appropriate for measuring location and spread?

 (f) Suppose the first data value was recorded incorrectly as 13.9 rather than as 3.9. Repeat parts (c) and (d) using this data set and compare your answers with those previously obtained. Can you draw any general conclusions about these measures? Justify your reasoning