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

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

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