Empirical Rule Practice
Quiz
•
Mathematics
•
12th Grade
•
Practice Problem
•
Medium
Anthony Clark
Used 5+ times
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10 questions
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1.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
A 12 oz can of soda has a mean volume of 12 oz, with a standard deviation of .25 oz. How common are cans with less than 11.5 oz of soda? Calculate the probability.
2.5%
0.15%
2.35%
2.25%
2.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
At a local high school, GPA's are normally distributed with a mean of 2.9 and standard deviation of 0.6. What is the GPA of the highest 2.5% of the students?
4.1
4.1 or higher
4.7
4.5 or higher
3.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Which interval shows 68% of the data given a mean of 15 and a standard deviation of 3?
9 to 21
12 to 18
6 to 24
13 to 16
4.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Which interval shows 99.7% of the data given a mean of 15 and a standard deviation of 3?
9 to 21
12 to 18
6 to 24
13 to 16
5.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Use the following information and the Empirical Rule to estimate the answer.
The ages of golfers are normally distributed, with a mean of 38 and a standard deviation of 4.
Find the proportion of golfers that are older than 42.
13.5%
16%
50%
85%
6.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
The Empirical Rule's percents are:
68-95.7-99
68-95-99.7
68.7-95-99
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 ACT score is 3 standard deviations below the mean?
12
16
20
21
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