The highway mileage (mpg) for a sample of 8 different models of a car company can be found below. 18, 20, 23, 27, 36, 30, 32, 36 Find the 5-number summary, check for any outliers using fences, and create a boxplot. Use the space below to type your answers AND/OR to upload a picture of your work for all the questions in this problem.

MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
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The highway mileage (mpg) for a sample of 8 different models of a car company can be found below.

18, 20, 23, 27, 36, 30, 32, 36

Find the 5-number summary, check for any outliers using fences, and create a boxplot.

Use the space below to type your answers AND/OR to upload a picture of your work for all the questions in this problem.

Expert Solution
Step 1

The 5 number summary of the data values:

Min : 18
1st quartile : 21.5
Median : 28.5
3rd quartile : 34
Max : 36
Interquartile range : 12.5

To find the 5 number summary of a data set, we need to find the smallest data value (minimum), the 25th percentile (Q1 - the first quartile), the median (25th percentile, Q2, the second quartile), the 75th percentile (Q3 - the third quartile), and the largest data value (maximum)

sorting the data in ascending order.

 

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