Normal Distribution Practice
Authored by Cori Colby
Mathematics
10th - 12th Grade
CCSS covered
Used 772+ times
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About
This quiz covers normal distribution concepts in statistics, appropriate for grades 10-12. The questions assess students' understanding of the empirical rule (68-95-99.7 rule), z-score calculations, probability calculations using standard normal distribution, and interpretation of normal curves. Students need to master several core concepts to succeed: understanding that normal distributions are symmetric and bell-shaped with specific percentage properties, calculating z-scores using the formula (x - μ)/σ, applying the empirical rule to determine what percentage of data falls within one, two, or three standard deviations of the mean, and converting between raw scores and standardized scores. The problems require students to work with real-world contexts including GPAs, test scores, manufacturing specifications, and physical measurements, demonstrating the practical applications of normal distribution theory. Students must also understand that the total area under any normal curve equals 1, and they need to interpret shaded regions on normal distribution graphs to determine probabilities and percentages. Created by Cori Colby, a Mathematics teacher in the US who teaches grades 10-12. This comprehensive practice quiz serves multiple instructional purposes in a statistics or advanced algebra course. Teachers can use it as a formative assessment to gauge student understanding before a unit test, assign it as homework to reinforce classroom learning, or implement it as a warm-up activity to review previously taught concepts. The varied question formats and real-world applications make it particularly effective for helping students connect abstract statistical concepts to practical situations they encounter in daily life. The quiz supports standards S-ID.4 (interpreting normal distributions and using them to estimate population percentages) and S-IC.1 (understanding statistics as a process for making inferences about population parameters based on random samples). Teachers can also use individual questions as exit tickets or incorporate sections of the quiz into review sessions before standardized tests that include statistics components.
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26 questions
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1.
MULTIPLE CHOICE QUESTION
30 sec • 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 percentage of students at the high school have a GPA between 2.3 and 3.5?
Tags
CCSS.HSS.ID.A.4
2.
MULTIPLE CHOICE QUESTION
30 sec • 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?
Tags
CCSS.HSS.ID.A.4
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Scores on a certain standardized test have a mean of 500, and a standard deviation of 100. How common is a score between 600 and 700? Calculate the probability.
Tags
CCSS.HSS.ID.A.4
4.
MULTIPLE CHOICE QUESTION
30 sec • 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.
Tags
CCSS.HSS.ID.A.4
CCSS.HSS.MD.A.3
CCSS.HSS.MD.A.1
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
The mean life of a tire is 30,000 km. The standard deviation is 2000 km.
Then, 68% of all tires will have a life between ___________ km and __________ km.
Tags
CCSS.HSS.ID.A.4
CCSS.HSS.MD.A.3
CCSS.HSS.MD.A.2
6.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
The average waist size for teenage males is 29 inches with a standard deviation of 2 inches.
If waist sizes are normally distributed, determine the z-score of a teenage male with a 33 inch waist.
Tags
CCSS.HSS.ID.A.4
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
1. Which best describes the shaded part of this normal distribution graph?
Tags
CCSS.HSS.ID.A.4
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