Question

Waiting times​ (in minutes) of customers in a bank where all customers enter a single waiting line and a bank where customers wait in individual lines at three different teller windows are listed below. Find the mean and median for each of the two​ samples, then compare the two sets of results. Single Line 6.3 6.6 6.7 6.8 7.0 7.2 7.6 7.8 7.8 7.8 Individual Lines 4.0 5.3 5.8 6.2 6.4 7.8 7.8 8.7 9.5 10.1

The mean waiting time for customers in a single line is ........ minutes.

Answer 1

For single line,

The mean waiting time for customers is = minutes

To find median,

th observation in sorted data set is 7

th observation in sorted data set is 7.2

The median waiting time for customers in a single line is minutes

For individual lines,

The mean waiting time for customers is = minutes

To find median,

th observation in sorted data set is 6.4

th observation in sorted data set is 7.8

The median waiting time for customers in a single line is minutes

We have seen that mean and median for both ​samples are same.