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Mathematics

11th - 12th Grade

CCSS covered

Used 131+ times

Empirical Rule & Z-Scores
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20 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 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? 

1084 to 1216 pounds 
1106 to 1150 pounds 
1106 to 1194 pounds 
1128 to 1172 pounds

Tags

CCSS.HSS.ID.A.4

2.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

A national achievement test is administered annually to 3rd graders. The test has a mean score of 100 and a standard deviation of 15. If Jane's z-score is 1.20, what was her score on the test?

82
88
100
118

Tags

CCSS.HSS.ID.A.4

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Media Image

1.  Which best describes the shaded part of this normal distribution graph?  

All data that is one or higher.
All data that is one or more standard deviations above the mean.
All data that is between 1 and 3.
All data that is above the mean.

Tags

CCSS.HSS.ID.A.4

4.

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

5.

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

6.

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

7.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

A test is given that has a mean of 70 and a standard deviation of 13. If a student's Z-score is +1, the student's score before conversion was:

70
83
57
Cannot be determined from the information given.

Tags

CCSS.HSS.ID.A.4

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