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Census data for a certain county were used to construct the following frequency distribution for commute time (in minutes) of working adults. Commute Time 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 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 0.0511 (a) Fill in the cumulative relative frequencies in the table given below. 60 to <90 0.1812 Commute Time Cumulative Relative Frequency 90 to <120 0.1972 0.1532 0.1371 0.0591 0.1031 0.0190 0.0190 0.0390 0.0200 0.0210

Census data for a certain county were used to construct the following frequency distribution for commute time (in minutes) of working adults. Commute Time 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 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 0.0511 (a) Fill in the cumulative relative frequencies in the table given below. 60 to <90 0.1812 Commute Time Cumulative Relative Frequency 90 to <120 0.1972 0.1532 0.1371 0.0591 0.1031 0.0190 0.0190 0.0390 0.0200 0.0210

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 38HP
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Census data for a certain county were used to construct the following frequency distribution for commute time (in minutes) of working adults. Commute Time 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 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 Relative Frequency 60 to <90 0.0511 (a) Fill in the cumulative relative frequencies in the table given below. 90 to <120 0.1812 Commute Time Cumulative Relative Frequency 0.1972 0.1532 0.1371 0.0591 0.1031 0.0190 0.0190 0.0390 0.0200 0.0210
Transcribed Image Text:Census data for a certain county were used to construct the following frequency distribution for commute time (in minutes) of working adults. Commute Time 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 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 Relative Frequency 60 to <90 0.0511 (a) Fill in the cumulative relative frequencies in the table given below. 90 to <120 0.1812 Commute Time Cumulative Relative Frequency 0.1972 0.1532 0.1371 0.0591 0.1031 0.0190 0.0190 0.0390 0.0200 0.0210
Construct a cumulative relative frequency plot. 1.0 0.8 0.6 0.4 0.2 0.0 0 20 P = 40 80 Commute Time P = 60 100 120 1.0 0.8 0.6 0.4 0.2 H 0.0 0 20 40 80 60 Commute Time 100 (b) Use the cumulative relative frequency plot constructed in part (a) to answer the following questions. 120 1.0 0.8 0.6 0.4 0.2 0.0 0 20 40 80 Commute Time 60 (i) Approximately what proportion of commute times were less than 50 min? (Round your answer to two decimal places.) (ii) Approximately what proportion of commute times were greater than 22 min? (Round your answer to two decimal places.) 100 120 G Cumulative Relative Frequency 1.0 0.8 0.6 0.4 0.2 0.0 0 20 40 60 80 Commute Time (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 100 120
Transcribed Image Text:Construct a cumulative relative frequency plot. 1.0 0.8 0.6 0.4 0.2 0.0 0 20 P = 40 80 Commute Time P = 60 100 120 1.0 0.8 0.6 0.4 0.2 H 0.0 0 20 40 80 60 Commute Time 100 (b) Use the cumulative relative frequency plot constructed in part (a) to answer the following questions. 120 1.0 0.8 0.6 0.4 0.2 0.0 0 20 40 80 Commute Time 60 (i) Approximately what proportion of commute times were less than 50 min? (Round your answer to two decimal places.) (ii) Approximately what proportion of commute times were greater than 22 min? (Round your answer to two decimal places.) 100 120 G Cumulative Relative Frequency 1.0 0.8 0.6 0.4 0.2 0.0 0 20 40 60 80 Commute Time (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 100 120
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