0 and 5 minutes
step-by-step explanation:
given that one morning eight buses arrive late by the number of minutes given below:
0 8 2 6 9 2 0 7 8
write these in ascending order
0 0 2 6 7 8 8 9
in the afternoon two more buses arrive at the bus stop say by x and y minutes late.
total number of buses = 10
median = average of 4th and 5th after arranging in ascending order
since 4th entry is 6, the values of x and y should be below 6
also given 0 is the mode so either x or y or both should be 0 because then only 0 gets the maximum frequency and hence mode
thus we have
0 0 0 2 6 7 8 8 9 and another unknown entry which is below 6.
since median is 3.5, we have the unknown entry to be 5 only because then only median =( 2+5)/2
thus the after noon buses were late by 0 and 5 minutes.