Common Core: 6th Grade Math : Grade 6

Study concepts, example questions & explanations for Common Core: 6th Grade Math

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Example Questions

Example Question #2 : Statistics & Probability

Determine whether or not the following question can be considered as a statistical question.

Are the cheetahs faster than lions? 

Possible Answers:

Yes

No

Correct answer:

Yes

Explanation:

Statistical questions are characterized by possessing inherent variability in the data that is used to answer the question. 

In this question, there is variability because each animal will probably run at a different speed and their are many factors that could effect how fast a particular animal can run. For example, a younger lion might be able to run faster than an elderly cheetah. To answer this question, we would have to find averages of how fast a group of cheetahs run and how fast a group of lions run. 

Example Question #3 : Statistics & Probability

Determine whether or not the following question can be considered as a statistical question.

Can Melissa's dog run faster than Emily's dog? 

 

Possible Answers:

Yes

No

Correct answer:

No

Explanation:

Statistical questions are characterized by possessing inherent variability in the data that is used to answer the question. 

In this question, there is no variability because Melissa's dog can either run faster than Emily's dog or it cannot; therefore, it is not a statistical question.

Example Question #5 : Recognize A Statistical Question As One That Anticipates Variability In The Data: Ccss.Math.Content.6.Sp.A.1

Determine whether or not the following question can be considered as a statistical question.

Did Joe score higher on the math test today than Melissa scored? 

 

Possible Answers:

No

Yes

Correct answer:

No

Explanation:

Statistical questions are characterized by possessing inherent variability in the data that is used to answer the question. 

In this question, there is no variability because Joe is either scored higher on the test than Melissa or he did not; therefore, it is not a statistical question.

Example Question #3 : Recognize A Statistical Question As One That Anticipates Variability In The Data: Ccss.Math.Content.6.Sp.A.1

Determine whether or not the following question can be considered as a statistical question.

Do doctors make more money than lawyers? 

 

Possible Answers:

Yes

No

Correct answer:

Yes

Explanation:

Statistical questions are characterized by possessing inherent variability in the data that is used to answer the question. 

In this question, there is variability because not all doctors and lawyers make the same amount. Some doctors might make more than some lawyers, and some lawyers might make more than some doctors. To answer this question, we would have to take a sample of doctors and lawyers to find out how much each person makes, then find the average income of each group. 

Example Question #4 : Recognize A Statistical Question As One That Anticipates Variability In The Data: Ccss.Math.Content.6.Sp.A.1

Determine whether or not the following question can be considered as a statistical question.

Does Andrew make more money than Laura? 

Possible Answers:

Yes

No

Correct answer:

No

Explanation:

Statistical questions are characterized by possessing inherent variability in the data that is used to answer the question. 

In this question, there is no variability because Andrew either makes more money than Laura or he does not; therefore, it is not a statistical question.

Example Question #5 : Recognize A Statistical Question As One That Anticipates Variability In The Data: Ccss.Math.Content.6.Sp.A.1

Determine whether or not the following question can be considered as a statistical question.

How old is Armen? 

 

Possible Answers:

Yes

No

Correct answer:

No

Explanation:

Statistical questions are characterized by possessing inherent variability in the data that is used to answer the question. 

In this question, there is no variability because Armen is a certain age; therefore, it is not a statistical question.

Example Question #9 : Recognize A Statistical Question As One That Anticipates Variability In The Data: Ccss.Math.Content.6.Sp.A.1

Determine whether or not the following question can be considered as a statistical question.

How many boxes of cookies did each girl sell? 

 

Possible Answers:

Yes

No

Correct answer:

Yes

Explanation:

Statistical questions are characterized by possessing inherent variability in the data that is used to answer the question. 

In this question, there is variability because each girl will probably sell a different amount of boxes. To answer this question, we would have to find out how many boxes of cookies each girl sold. 

Example Question #4 : Recognize A Statistical Question As One That Anticipates Variability In The Data: Ccss.Math.Content.6.Sp.A.1

Determine whether or not the following question can be considered as a statistical question.

What is the average test score of a class of  students? 

Possible Answers:

No

Yes

Correct answer:

Yes

Explanation:

Statistical questions are characterized by possessing inherent variability in the data that is used to answer the question. 

In this question, there is variability because each student probably scored differently on the test. To answer this question, we would have to find each student's score and then find the average. Yes

Example Question #11 : Recognize A Statistical Question As One That Anticipates Variability In The Data: Ccss.Math.Content.6.Sp.A.1

Determine whether or not the following question can be considered as a statistical question.

How many girls are in your class? 

 

Possible Answers:

Yes

No

Correct answer:

No

Explanation:

Statistical questions are characterized by possessing inherent variability in the data that is used to answer the question. 

In this question, there is no variability because there is a set number of girls in a particular class; therefore, it is not a statistical question..

Example Question #1431 : Grade 6

Determine whether or not the following question can be considered as a statistical question.

During the school fundraiser, did freshman raise more money than seniors? 

 

Possible Answers:

No

Yes

Correct answer:

Yes

Explanation:

Statistical questions are characterized by possessing inherent variability in the data that is used to answer the question. 

In this question, there is variability because each student is going to raise a different amount of money. Most likely, some freshman will raise more money than some seniors, and some seniors will raise more than some freshman. To answer this question, we would have to find how much money each student raised and then find the average amount of money raised by freshman and the average amount of money raised by seniors.  

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