A researcher is interested in studying the relationship between commute time (defined as the number of minutes it takes a person to get to work in the morning) and job satisfaction (defined on a scale from 1=very dissatisfied to 5=very satisfied). The researcher believes that a person with a longer commute time will have lower job satisfaction. The researcher surveys 20 Valley commuters and finds the following data. Respond to questions 1 and 2 based on these data. Commuter Length of Commute (minutes) Job Satisfaction (1=very dissatisfied; 5=very satisfied) Commuter 1 10 4 Commuter 2 65 1 Commuter 3 30 4 Commuter 4 40 2 Commuter 5 15 5 Commuter 6 20 5 Commuter 7 60 2 Commuter 8 50 1 Commuter 9 45 3 Commuter 10 20 3 Commuter 11 30 4 Commuter 12 35 4 Commuter 13 20 5 Commuter 14 30 4 Commuter 15 40 2 Commuter 16 10 5 Commuter 17 20 5 Commuter 18 55 1 Commuter 19 40 3 Commuter 20 50 2 We have learned that the appropriate measure of central tendency is determined by the level of measurement of the data. Calculate all appropriate measures of central tendency for each variable (length of commute and job satisfaction). Calculate the standard deviation if it is applicable to the variable. If any of the measures of central tendency or the standard deviation for a variable is not applicable, briefly explain why it is not applicable. 2. In a short paragraph, explain what the mean, median, mode, and/or standard deviation tell you about each variable in question 1.

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

A researcher is interested in studying the relationship between commute time (defined as the number of minutes it takes a person to get to work in the morning) and job satisfaction (defined on a scale from 1=very dissatisfied to 5=very satisfied). The researcher believes that a person with a longer commute time will have lower job satisfaction. The researcher surveys 20 Valley commuters and finds the following data. Respond to questions 1 and 2 based on these data.

Commuter	Length of Commute (minutes)	Job Satisfaction (1=very dissatisfied; 5=very satisfied)
Commuter 1	10	4
Commuter 2	65	1
Commuter 3	30	4
Commuter 4	40	2
Commuter 5	15	5
Commuter 6	20	5
Commuter 7	60	2
Commuter 8	50	1
Commuter 9	45	3
Commuter 10	20	3
Commuter 11	30	4
Commuter 12	35	4
Commuter 13	20	5
Commuter 14	30	4
Commuter 15	40	2
Commuter 16	10	5
Commuter 17	20	5
Commuter 18	55	1
Commuter 19	40	3
Commuter 20	50	2

We have learned that the appropriate measure of central tendency is determined by the level of measurement of the data. Calculate all appropriate measures of central tendency for each variable (length of commute and job satisfaction). Calculate the standard deviation if it is applicable to the variable. If any of the measures of central tendency or the standard deviation for a variable is not applicable, briefly explain why it is not applicable.

2. In a short paragraph, explain what the mean, median, mode, and/or standard deviation tell you about each variable in question 1.

Definition Definition Middle value of a data set. The median divides a data set into two halves, and it also called the 50th percentile. The median is much less affected by outliers and skewed data than the mean. If the number of elements in a dataset is odd, then the middlemost element of the data arranged in ascending or descending order is the median. If the number of elements in the dataset is even, the average of the two central elements of the arranged data is the median of the set. For example, if a dataset has five items—12, 13, 21, 27, 31—the median is the third item in ascending order, or 21. If a dataset has six items—12, 13, 21, 27, 31, 33—the median is the average of the third (21) and fourth (27) items. It is calculated as follows: (21 + 27) / 2 = 24.

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