Lengths of bus routes for any particular transit system will typically vary from one route to another. The article “Planning of City Bus Routes” (J. of the Institution of Engineers, 1995: 211–215) gives the following information on lengths (km) for one particular system: a. Draw a histogram corresponding to these frequencies. b. What proportion of these route lengths are less than 20? What proportion of these routes have lengths of at least 30? c. Roughly what is the value of the 90th 0 percentile of the route length distribution? d. Roughly what is the median route length?

Solution: Step 1 : The given data is the lengths(kms) of bus routes for any particular transit system. Based on the given data we have to make the histogram and want to find the proportion route lengths.