AP Statistics 2.11.F Comparing Relative Position

Practise comparing relative positions in normal distributions by translating z-scores into percentiles, ordering observations, and reasoning about changes to cutoffs.

Exam points

Convert z-scores to percentiles and use percentile order to compare observations in normal distributions.
Recognise that adding the same constant preserves percentile ranks and relative order.
Explain how moving a cutoff or mean changes its tail position and the proportion beyond it.

[Maximum number: 1]

The mean Law School Aptitude Test (LSAT) score for applicants to a particular law school is 650 with a standard deviation of 45 . Suppose that only applicants with scores above 700 are considered. What percentage of the applicants considered have scores below 740? (Assume the scores are approximately normally distributed.)

17.1\%

82.9\%

86.7\%

97.7\%

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2.11.F—Compare measures of relative position for distributions question 1