Empirical Rule and Z-Score
Authored by Anthony Clark
Mathematics
12th Grade
CCSS covered
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15 questions
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1.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
2000 freshmen at State Univ. took a Biology test. The scores were distributed normally with μ=70 and σ=5.
What percent of scores are less than 70?
34%
50%
16%
84%
2.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
2000 freshmen at State Univ. took a Biology test. The scores were distributed normally with μ=70 and σ=5.
What percent of scores are greater than 75?
2.35%
2.5%
16%
13.5%
3.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
500 juniors at Central High School took the ACT last year. The scores were distributed normally with μ=24 and σ=4.
What ACT score is 3 standard deviations below the mean?
12
16
20
21
4.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
500 juniors at Central High School took the ACT last year. The scores were distributed normally with μ=24 and σ=4.
What percent of ACT scores are between 20 and 28?
34%
68%
81.5%
95%
5.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
500 juniors at Central High School took the ACT last year. The scores were distributed normally with μ=24 and σ=4.
What percent of ACT scores are between 16 and 24?
34%
47.5%
49.85%
50%
6.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
500 juniors at Central High School took the ACT last year. The scores were distributed normally with μ=24 and σ=4.
Approximately how many juniors scored between 12 and 20 on the ACT?
67
79
100
180
7.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
500 juniors at Central High School took the ACT last year. The scores were distributed normally with μ=24 and σ=4.
What percent of ACT scores are between 24 and 28?
15%
13.5%
34%
47.5%
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