Question

answer the following in spaces provided below. do not use spaces or commas.
a. find the number of buses that travelled a distance between 15000 and 20000 kilometres.
b. use the cumulative frequency curve to find the median distance.
c. use the cumulative frequency curve to find the lower quartile.
d. use the cumulative frequency curve to find the upper quartile.
e. hence write down the interquartile range.
f. find the number of buses that travelled a distance less than or equal to 5500 km.
g. it is known that 10 buses travelled more than m kilometres. find the value of m.

Explanation:

Step1: Determine total number of buses

Assume total number of buses is the maximum cumulative - frequency value. From the graph and previous answers, we can infer the total number of buses is 100 (since when we calculate inter - quartile range etc., the cumulative frequency goes up to a certain value that implies a total of 100 buses).

Step2: Find the value of m

If 10 buses travelled more than m kilometres, then the cumulative frequency at m is \(100 - 10=90\). Looking at the cumulative - frequency curve, when the cumulative frequency is 90, the value of the distance (m) is 19000.

Answer:

19000