A study was conducted on the average commuting distance of students at Surry Community College. The study found that the first sample of thirty students has an average commute of 23.1 miles with a sample standard deviation of 12.47 miles. The commuting mileages for a second sample of 30 students are below.2034202015161931151218151311281120107131332746318246Use your calculator functions to find the following values. There are directions posted at the top of Module 1 and in your text.(a) (3) Find the mean, median and mode for the second sample of students.(3) Find the range, variance and standard deviation for the second sample students.(c) (2) Find the five number summary for this sample and determine if there are any outliers. State the outlier values if they exist. Show your outlier calculations (method from section 3.3).(d) (1) Explain why the average for the second sample is a better representation of the population of students commuting to SCC. Which statistic from above proves this is the better value?(e) (2) Use Chebyshev’s Theorem to find the smallest interval centered on the mean that contains at least 88.9% of the data values for the second sample. Then determine the actual percentage of data contained with the interval.

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MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

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A study was conducted on the average commuting distance of students at Surry Community College. The study found that the first sample of thirty students has an average commute of 23.1 miles with a sample standard deviation of 12.47 miles. The commuting mileages for a second sample of 30 students are below.

20	34	20	20	15	16	19	3	1	15
12	18	15	13	1	12	8	11	20	10
7	13	13	32	7	4	63	18	24	6

Use your calculator functions to find the following values. There are directions posted at the top of Module 1 and in your text.
(a) (3) Find the mean, median and mode for the second sample of students.

(3) Find the range, variance and standard deviation for the second sample students.

(c) (2) Find the five number summary for this sample and determine if there are any outliers. State the outlier values if they exist. Show your outlier calculations (method from section 3.3).

(d) (1) Explain why the average for the second sample is a better representation of the population of students commuting to SCC. Which statistic from above proves this is the better value?
(e) (2) Use Chebyshev’s Theorem to find the smallest interval centered on the mean that contains at least 88.9% of the data values for the second sample. Then determine the actual percentage of data contained with the interval.

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