Suppose That the Average Time an Employee Takes to Reach

Suppose that the average time an employee takes to reach the office is 35 minutes. To address the issue of late comers, the mode of transport chosen by the employee is tracked: private transport (two-wheelers and four-wheelers) and public transport. The data on the average time (in minutes) taken using both a private transportation system and a public transportation system for a sample of employees are given below. $$\begin{array} { c | c } \text { Private Transport } & \text { Public Transport } \\\hline 27 & 30 \\33 & 29 \\28 & 25 \\32 & 20 \\20 & 27 \\34 & 32 \\30 & 37 \\28 & 38 \\18 & 21 \\29 & 35\end{array}$$
a. What are the mean and median travel times for employees using a private transport? What are the mean and median travel times for employees using a public transport?
b. What are the variance and standard deviation of travel times for employees using a private transport? What are the variance and standard deviation of travel times for employees using a public transport?
c. Comment on the results.