A traffic survey was conducted in central Cape Town recently to establish the number of occupants per car commuting into the CBD between 8.00 a.m. and 9.00 a.m. daily from the northern suburbs. Sixty cars were randomly selected at an entry point into the CBD and the number of occupants was noted. The following data was recorded: 1 1 1 5 3 2 1 2 1 1 2 2 3 2 2 5 3 1 3 2 5 2 1 3 2 4 3 2 3 5 1 1 4 1 2 2 1 4 1 1 1 1 2 4 3 1 1 2 5 1 1 1 3 1 2 3 5 4 1 5 (a) Define the random variable and the data type. (b) prepare: (i) a numeric percentage frequency distribution (Hint: Use the discrete values as bins.) (ii) a histogram of occupants per car (iii) a less-than cumulative frequency distribution and ogive of car occupants. (c) From the results, determine: (i) what percentage of motorists travel alone (ii) what percentage of vehicles have at least three occupants (iii) what percentage of vehicles have no more than two occupants
A traffic survey was conducted in central Cape Town recently to establish the number
of occupants per car commuting into the CBD between 8.00 a.m. and 9.00 a.m. daily
from the northern suburbs. Sixty cars were randomly selected at an entry point into
the CBD and the number of occupants was noted. The following data was recorded:
1 1 1 5 3 2 1 2 1 1 2 2
3 2 2 5 3 1 3 2 5 2 1 3
2 4 3 2 3 5 1 1 4 1 2 2
1 4 1 1 1 1 2 4 3 1 1 2
5 1 1 1 3 1 2 3 5 4 1 5
(a) Define the random variable and the data type.
(b) prepare:
(i) a numeric percentage frequency distribution (Hint: Use the discrete
values as bins.)
(ii) a histogram of occupants per car
(iii) a less-than cumulative frequency distribution and ogive of car occupants.
(c) From the results, determine:
(i) what percentage of motorists travel alone
(ii) what percentage of vehicles have at least three occupants
(iii) what percentage of vehicles have no more than two occupants
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