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Suppose all students surveyed answered in integer number of hours only
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28 Nov 2024, 01:06
28 Nov 2024, 01:06
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Question Stats:
33% (00:33) correct
66% (01:22) wrong based on 3 sessions
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In a survey, 82 high school students were randomly selected and asked how many hours of television they had watched in the previous week. The histogram below displays their answers.
Suppose all students surveyed answered in integer number of hours only. Suppose, of 82 surveyed, only one respondent answered "16 hours." Within this group, the approximate percentile of this person would be:
A. 32nd percentile
B. 51st percentile
C. 67th percentile
D. 75th percentile
E. 80th percentile
Suppose all students surveyed answered in integer number of hours only. Suppose, of 82 surveyed, only one respondent answered "16 hours." Within this group, the approximate percentile of this person would be:
A. 32nd percentile
B. 51st percentile
C. 67th percentile
D. 75th percentile
E. 80th percentile
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Re: Suppose all students surveyed answered in integer number of hours only
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28 Nov 2024, 01:54
28 Nov 2024, 01:54
1
number of students who were surveyed = 82
number of students who watched TV for 1-5 hrs = 14
number of students who watched TV for 6-10 hrs = 35
number of students who watched TV for 11-15 hrs = 17
therefore number of students who watched TV for less than 16 hrs = 14 + 35 + 17 = 66
now the question is what is the percentile in which the student who watched TV for 16hrs belong to
the percentile is calculated as = n/m * 100
where n is the number of students who watched TV for less than 16
m is the number of students surveyed
therefore the answer is 66/82 * 100 = 80.487
option E
number of students who watched TV for 1-5 hrs = 14
number of students who watched TV for 6-10 hrs = 35
number of students who watched TV for 11-15 hrs = 17
therefore number of students who watched TV for less than 16 hrs = 14 + 35 + 17 = 66
now the question is what is the percentile in which the student who watched TV for 16hrs belong to
the percentile is calculated as = n/m * 100
where n is the number of students who watched TV for less than 16
m is the number of students surveyed
therefore the answer is 66/82 * 100 = 80.487
option E
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