Answered: St. Dev. Min Q1 Med Q3 Max 17.3 6.25…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Question

You work for a large farm with many fields of corn. You are investigating the mass of a sample of ears of corn. You gather the following data:

Mass(g) of ears of corn

12.8	12.9	13.0	13.5	13.9	14.4	14.6	15.1	15.3	15.8
15.9	16.7	16.7	16.9	17.1	17.4	18.7	21.2	21.9	41.6

Some of the masses in the sample seem much larger than the rest. You decide to make several calculations describing the "spread" of the data set. You hope to use them to help in the search for outliers.

Here are your summary Statistics:

Mean	St. Dev.	Min	Q1	Med	Q3	Max
17.3	6.25	12.8	14.275	15.85	17.175	41.6

Find the following:

Apply the 1.5 IQR rule to search for outliers. Report the lower and upper cuttoffs.
1. IQR =
2. Lower =
3. Upper =
4. Are there any outliers by the 1.5 IQR rule? (Enter "yes" or "no")
Apply the 2-standard deviation rule to search for outliers. Report the lower and upper cuttoffs.
1. Lower =
2. Upper =
3. Are there any outliers by the 2-standard deviation rule? (Enter "yes" or "no")