Bus company wants to use data to show how long a bus takes to complete the route:
The data set of the time taken to complete the route is given as follows:
31 31 31 33 31 32 32 60 31 32 33
Median: Median is the mid value of the data set when the data is arranged in the order from lowest to greatest. Mid value can help us create a bus schedule. Here in our case mean of the data set is 34.17 and there is another element in the data set that is 60 which is way beyond the average value.
Mean: Mean or the average is obtained by summing up all the values and dividing that by number of values in the data set. It can tell us how much time does the bus take on an average to complete the route and it can help up to create a bus schedule but in this case there are values which are way beyond the mean, therefore it is a little hard to consider mean to design a bus schedule.
Minimum: Minimum of a data set can not help us to create a bus schedule.
Range: Range is defined by the difference between the maximum and the minimum value of a data set, it can not help us to figure out how much time on an average does a bus take to complete its route.
So, in this case median can help us create a bus schedule.