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

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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.

Definition Definition Measure of central tendency that is the value that occurs most frequently in a data set. A data set may have more than one mode if multiple categories repeat an equal number of times. For example, in a data set with five item—3, 5, 5, 29, 473—the mode is 5 because it occurs twice and no other value occurs more than once. On a histogram or bar chart, the element with the highest bar represents the mode. Therefore, the mode is sometimes considered the most popular option. The mode is useful for nominal or categorical data (e.g., the most common color car that users purchase), but it is problematic for continuous data because it is more likely not to have any value that is more frequent than the other.

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