Chapter 2: Q 37. (page 109)
If is added to every observation in a data set, the only one of the following that is not changed is
(a) the mean. (d) the standard deviation.
(b) the percentile. (e) the minimum.
(c) the median.
The correct option is (d).
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Estimate Q1, Q3, and the IQR of the distribution.
Jorge’s score on Exam in his statistics class was at the 64th percentile of the scores for all students. His score falls
(a) between the minimum and the first quartile.
(b) between the first quartile and the median.
(c) between the median and the third quartile.
(d) between the third quartile and the maximum.
(e) at the mean score for all students.
Now mark the approximate location of the mean. Explain why the mean and median have the relationship that they do in this case.
T2.11. As part of the President's Challenge, students can attempt to earn the Presidential Physical Fitness Award or the National Physical Fitness Award by meeting qualifying standards in five events: curl-ups, shuttle run, sit and reach, one-mile run, and pull-ups. The qualifying standards are based on the School Population Fitness Survey. For the Presidential award, the standard for each event is the percentile of the results for a specific age group and gender among students who participated in the survey. For the National award, the standard is the percentile. To win either award, a student must meet the qualifying standard for all five events.
Jane, who is years old, did curl-ups in one minute. Matt, who is years old, also did curl-ups in one minute. The qualifying standard for the Presidential award is curl-ups for Jane and curl-ups for Matt. For the National award, the standards are and , respectively.
(a) Compare Jane's and Matt's performances using percentiles. Explain in language simple enough for someone who knows little statistics to understand.
(b) Who has the higher standardized value (-score), Jane or Matt? Justify your answer.
The proportion of observations from a standard Normal distribution with values less than is
(a) .
(b) .
(c) .
(d) .
(e) none of these.
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