Question

Determine the mean, median, and mode for each of the variables. What is the variance for each set of data for each of the variables? What is the standard deviation for each of the variables? What is the probability that each event occurs in each of the two variables.

Data: Time Stamp with questions with 3 multiple choice options

Timestamp 1. If given the opportunity would you work from home? 2. Do you consider working from home more of a employee convenience or employer benefit?    3. Who benefits more from the "Work from Home" opportunity?
8/11/2019 11:24:03   Maybe   Employee Convenience   Employee
8/11/2019 11:26:37   Maybe   Employee Convenience   Employee
8/11/2019 12:14:33   Maybe   Employee Convenience   Employee
8/11/2019 14:07:45   Maybe   Employee Convenience   Employer
8/11/2019 20:01:33   Maybe   Employee Convenience   Employee
8/12/2019 23:30:00   Maybe   Employee Convenience   Employee
8/14/2019 15:21:15   Maybe   Employee Convenience   Employee
8/14/2019 21:13:15   Maybe   Employee Convenience   Employee
8/14/2019 13:50:32   No   Employer Benefit   Employer
8/11/2019 11:21:21   Yes   Employee Convenience   Employee
8/11/2019 11:22:28   Yes   Employer Benefit   Employer
8/11/2019 11:29:04   Yes   Employee Convenience   Employee
8/11/2019 11:36:23   Yes   Employer Benefit   Employee
8/11/2019 11:36:55   Yes   Employee Convenience   Employee
8/11/2019 11:43:05   Yes   Employee Convenience   Employee
8/11/2019 11:59:13   Yes   Employer Benefit   Employee
8/11/2019 12:22:02   Yes   Employer Benefit   Employer
8/11/2019 12:39:02   Yes   Employee Convenience   Employee
8/11/2019 12:47:51   Yes   Employee Convenience   Employee
8/11/2019 13:12:20   Yes   Employee Convenience   Employer
8/11/2019 13:49:33   Yes   Employer Benefit   Employer
8/11/2019 15:16:18   Yes   Employer Benefit   Employer
8/11/2019 18:55:11   Yes   Employer Benefit   Employer
8/11/2019 19:07:52   Yes   Employer Benefit   Employer
8/11/2019 20:03:24   Yes   Employer Benefit   Employer
8/11/2019 21:38:25   Yes   Employer Benefit   Employer
8/12/2019 5:52:13   Yes   Employer Benefit   Employer
8/12/2019 6:56:04   Yes   Employee Convenience   Employee
8/12/2019 12:16:08   Yes   Employer Benefit   Employer

Answer 1

Let X= the opportunity would you work from home

From the given data we have the following:

X	Maybe	Yes	No	Total
frequency	8	20	1	29
Probability i.e. P(X)	8/29	20/29	1/29	1

if we arrange the value of X as No<Maybe<yes then Median =yes (but it is useless.)

Mode is yes as maximum frequency is 20 for X=yes

Let Y= Do you consider working from home more of a employee convenience or employer benefit?

From the given data we have the following:

Y	Employee Convenience	Employer Benefit	Total
frequency	16	13	29
Probability i.e. P(Y)	16/29	13/29	1

Mode is Employee Convenience as maximum frequency is 16 for Y= Employee Convenience

Let Z= Who benefits more from the "Work from Home" opportunity?

From the given data we have the following:

Z	Employee	Employer	Total
frequency	16	13	29
Probability i.e. P(Z)	16/29	13/29	1

In this case Mode is Employee as maximum frequency is 16 for Y= Employee

Finding Mean ,median, standard deviation and variance are meaningless as the variables do not have any numeric value so above I find Mode the maximum number of repetitions.