AP STATISTICS UNIT 5 PROGRESS CHECK MCQ PART COMPREHENSIVE
TEST QUESTIONS AND SOLUTIONS
1. Name of the distribution ("normal" in the example above)
2. Parameters (Mean, SD)
3. Boundary (Min., Max.)
4. Direction (<,>, etc.)
, ◉ Normal Distribution Common Values (BETWEEN Certain Percent
of values). Answer: In a normal distribution, 90% of the values are
between z-scores of -1.645 and +1.645, 95% of the values are
between z-scores of -1.96 and +1.96, and 99% of the values are
between z-scores of -2.576 and +2.576.
◉ Normal Distribution Common Values (BELOW Certain Percent of
values). Answer: In a normal distribution, 90% of the values are
below a z-score -1.282, 95% of the values are below a z-score of 1
645, and 99% of values below a z-score of 2.326.
◉ Normal Distribution Common Values (ABOVE Certain Percent of
values). Answer: In a normal distribution, 90% of values are above a
z-score of -1.282, 95% if values are above a z-score of -1.645, and
99% of values are above a z-score of -2.326.
◉ Empirical Rule. Answer: In a normal distribution, approximately
68.26% of the values are between z-score of -1 and +1,
approximately 95.44% of the values are between the z-score of -2
and +2, and approximately 99.74% of the values are between z-
scores of -3 and +3.
◉ Empirical Rule Important Note. Answer: The Empirical Rules's
68%, 95%, and 99.7% are approximations of 68.26%, 95.44%, and
99.74%.
TEST QUESTIONS AND SOLUTIONS
1. Name of the distribution ("normal" in the example above)
2. Parameters (Mean, SD)
3. Boundary (Min., Max.)
4. Direction (<,>, etc.)
, ◉ Normal Distribution Common Values (BETWEEN Certain Percent
of values). Answer: In a normal distribution, 90% of the values are
between z-scores of -1.645 and +1.645, 95% of the values are
between z-scores of -1.96 and +1.96, and 99% of the values are
between z-scores of -2.576 and +2.576.
◉ Normal Distribution Common Values (BELOW Certain Percent of
values). Answer: In a normal distribution, 90% of the values are
below a z-score -1.282, 95% of the values are below a z-score of 1
645, and 99% of values below a z-score of 2.326.
◉ Normal Distribution Common Values (ABOVE Certain Percent of
values). Answer: In a normal distribution, 90% of values are above a
z-score of -1.282, 95% if values are above a z-score of -1.645, and
99% of values are above a z-score of -2.326.
◉ Empirical Rule. Answer: In a normal distribution, approximately
68.26% of the values are between z-score of -1 and +1,
approximately 95.44% of the values are between the z-score of -2
and +2, and approximately 99.74% of the values are between z-
scores of -3 and +3.
◉ Empirical Rule Important Note. Answer: The Empirical Rules's
68%, 95%, and 99.7% are approximations of 68.26%, 95.44%, and
99.74%.