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Mathematics

9th Grade - University

CCSS covered

Used 187+ times

Delehant: Empirical Rule
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10 questions

Show all answers

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?

68%
99.7%
95%
84%

Tags

CCSS.HSF-LE.A.1B

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?

4.1 
4.1 or higher
4.7
4.5 or higher

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. 

2.5%
2.35%
16%
13.5%

Tags

CCSS.HSS.ID.A.4

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In a population, if μ=125 and σ=25, how common are values in the 100 – 175 range?

68%
84%
81.5%
95%

Tags

CCSS.HSS.ID.A.4

5.

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.

2.5%
.15%
2.35%
2.25%

Tags

CCSS.HSS.ID.A.4

CCSS.HSS.MD.A.3

CCSS.HSS.MD.A.1

6.

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.

 28,000 km and 32,000 km.
24,000 km and 34,000 km.
26,000 km and 34,000 km.
27,000 km and 31,000 km.

Tags

CCSS.HSS.ID.A.4

CCSS.HSS.MD.A.3

CCSS.HSS.MD.A.2

7.

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.  

2
1
-2
-1

Tags

CCSS.HSS.ID.A.4

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