Census data for a certain county were used to construct the following frequency distribution for commute time
Question:
Census data for a certain county were used to construct the following frequency distribution for commute time (in minutes) of working adults.
Commute TimeRelative Frequency
0 to <5 0.0521
5 to <10 0.1832
10 to <15 0.1942
15 to <20 0.1512
20 to <25 0.1371
25 to <30 0.0581
30 to <35 0.1011
35 to <40 0.0200
40 to <45 0.0200
45 to <60 0.0400
60 to <90 0.0210
90 to <120 0.0220
Fill in the cumulative relative frequencies in the table given below.
Commute Time Cumulative Relative Frequency
0 to <5 >
5 to <10=
10 to <15=
15 to <20=
20 to <25=
25 to <30=
30 to <35=
35 to <40=
40 to <45=
45 to <60=
60 to <90=
90 to <120=
(b)
Use the cumulative relative frequency plot constructed in part (a) to answer the following questions.
(i)
Approximately what proportion of commute times were less than 50 min? (Round your answer to two decimal places.)
p=
(ii)
Approximately what proportion of commute times were greater than 22 min? (Round your answer to two decimal places.)
p=
(iii)
What is the approximate commute time value that separates the shortest 50% of commute times from the longest 50%? (Round your answer to the nearest whole number.)
p=min