Z Score word problems

Z Score word problems

9th - 12th Grade

15 Qs

quiz-placeholder

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Z Score word problems

Z Score word problems

Assessment

Quiz

Mathematics

9th - 12th Grade

Practice Problem

Medium

CCSS
HSS.ID.A.4, HSA.REI.B.3, HSS.MD.A.2

+2

Standards-aligned

Created by

KATIE KENNEDY

Used 34+ times

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15 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

What is the purpose of z-scores?

to describe the exact location of a score within a distribution

to find the mean of the distribution

to describe the shape of the distribution

to find the standard deviation of the distribution

Tags

CCSS.HSS.ID.A.4

2.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

What is the formula to find the z-score for population?

z=X-M

z=σ-M/μ

z/M=μ

z=X-μ/σ

Tags

CCSS.HSS.ID.A.4

3.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

If heights of 3rd graders follow a normal distribution with a mean of 52 inches and a standard deviation of 2.5 inches, what is the z score of a 3rd grader who is 47 inches tall? 

-5
-2
2
5

Tags

CCSS.HSS.ID.A.4

4.

MULTIPLE CHOICE QUESTION

5 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? 

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

Tags

CCSS.HSS.ID.A.4

5.

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.HSA.REI.B.3

CCSS.HSS.ID.A.4

6.

MULTIPLE CHOICE QUESTION

5 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.  

2
1
-2
-1

Tags

CCSS.HSS.ID.A.4

7.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

The shelf life of a particular dairy product is normally distributed with a mean of 12 days and a standard deviation of 3 days.

About what percent of the products last between 12 and 15 days?

68%
34%
16%
2.5%

Tags

CCSS.HSS.ID.A.4

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