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QUIZ: The Normal Distribution with Applications
Authored by John Kellar
Mathematics
9th - 12th Grade
CCSS covered
Used 14+ times
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10 questions
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1.
MULTIPLE CHOICE QUESTION
3 mins • 1 pt
In a survey of men in the United States (ages 20-29), the mean height was 69.6 inches. Find the standard deviation if the minimum height for the top 22% was 73.12 inches.
0.77 in
2.16 in
3.0 in
4.6 in
2.
MULTIPLE CHOICE QUESTION
3 mins • 1 pt
Find the 80th percentile height for women (ages 20-29) if the mean height is 65 inches and the standard deviation is 4 inches.
64.0 in
68.0 in
72.0 in
76.0 in
Tags
CCSS.HSS.ID.A.4
3.
MULTIPLE SELECT QUESTION
3 mins • 1 pt
What are the upper and lower heights for the middle 50% of women ages 20-29 if the mean height is 65 inches and the standard deviation is 4 inches.
68.6 in
71.6 in
67.7 in
62.3 in
Tags
CCSS.HSS.ID.A.4
4.
MULTIPLE CHOICE QUESTION
3 mins • 1 pt
What is the likelihood a woman between the ages of 20-29 will be taller than 67 inches if the mean height is 65 inches and the standard deviation is 4 inches?
19.1%
31.2%
29.4%
30.9%
Tags
CCSS.HSS.ID.A.4
5.
MULTIPLE CHOICE QUESTION
3 mins • 1 pt
What is the Z-score for a 26 year old woman with a height of 5 ft 8 inches if the mean height is 65 inches and the standard deviation is 4 inches?
0.75
0.50
1
1.25
Tags
CCSS.HSS.ID.A.4
6.
MULTIPLE CHOICE QUESTION
3 mins • 1 pt
How tall is a woman with a z-score of 1.8 if the mean height is 65 inches and the standard deviation is 4 inches?
61.5 in
73.6 in
72.2 in
78.6 in
Tags
CCSS.HSS.ID.A.4
7.
MULTIPLE CHOICE QUESTION
3 mins • 1 pt
If the mean height for women is 65 inches and the standard deviation is 4 inches who is tallest? A 28 year old woman that is:
In the 95th percentile for height
Has a z-score of 2.1 for height
6 ft 5 in
In the top 10% for height
Tags
CCSS.HSS.ID.A.4
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