(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=94 (ii) Approximately what proportion of commute times were greater than 22 min? (Round your answer to two decimal places.) P = 40 (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 min

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 38HP
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please help these answers are wrong and 0.92, 0.27, and 15 are not correct either 

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
0.0511
0.2323
0.4295
0.5827
0.7198
0.7789
0.882
0.901
0.92
0.959
0.979
1
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 0.0511 0.2323 0.4295 0.5827 0.7198 0.7789 0.882 0.901 0.92 0.959 0.979 1
Construct a cumulative relative frequency plot.
1.0
0.8
0.6
LLNE
0.4
0.2
0.0
100 120
0
1.0
0.8
0.6
0.4
0.2
0.0
0 20
40
60
80 100 120
Commute Time
0.8
0.6
0.4
0.2
min
0.0
0 20
40
60
80
Commute Time
(b) Use the cumulative relative frequency plot constructed in part (a) to answer the following questions.
20
40
60
(i) Approximately what proportion of commute times were less than 50 min? (Round your answer to two decimal places.)
p = 94
Commute Time
(ii) Approximately what proportion of commute times were greater than 22 min? (Round your answer to two decimal places.)
P = 40
Р
80
100 120
G
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 = 19
100
120
6
Transcribed Image Text:Construct a cumulative relative frequency plot. 1.0 0.8 0.6 LLNE 0.4 0.2 0.0 100 120 0 1.0 0.8 0.6 0.4 0.2 0.0 0 20 40 60 80 100 120 Commute Time 0.8 0.6 0.4 0.2 min 0.0 0 20 40 60 80 Commute Time (b) Use the cumulative relative frequency plot constructed in part (a) to answer the following questions. 20 40 60 (i) Approximately what proportion of commute times were less than 50 min? (Round your answer to two decimal places.) p = 94 Commute Time (ii) Approximately what proportion of commute times were greater than 22 min? (Round your answer to two decimal places.) P = 40 Р 80 100 120 G 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 = 19 100 120 6
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