Empirical and z scores
Authored by Jorge Batrez
Mathematics
9th - 12th Grade
CCSS covered
Used 5+ times
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16 questions
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1.
MULTIPLE CHOICE QUESTION
15 mins • 1 pt
The mean weight of Sumo wrestlers is 330 pounds with a standard deviation of 40 pounds. The mean weight of soccer players is 142 pounds with a standard deviation of 5.2 pounds.
A particular Sumo wrestler weighs 360 pounds and a particular Soccer player weighs 153.6 pounds. Who weighs more, relatively speaking? (Who has a higher z score?)
Sumo wrestler
Soccer player
They weigh the same, relatively speaking
Tags
CCSS.HSS.ID.A.4
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A set of test scores was found to have a mean of 75 and a standard deviation of 5. What is your z-score if you scored an 83?
z = -3
z = -1
z = 1.6
z = 2.4
Tags
CCSS.HSS.ID.A.4
3.
MULTIPLE CHOICE QUESTION
10 mins • 1 pt
In a factory, the weight of the concrete poured into a mold by a machine follows a normal distribution with a mean of 1150 pounds and a standard deviation of 22 pounds. Approximately 95% of molds filled by this machine will hold weights in what interval?
Tags
CCSS.HSS.ID.A.4
4.
MULTIPLE CHOICE QUESTION
10 mins • 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
5.
MULTIPLE CHOICE QUESTION
10 mins • 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
6.
MULTIPLE CHOICE QUESTION
10 mins • 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
7.
MULTIPLE CHOICE QUESTION
15 mins • 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
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