Common Core: 7th Grade Math : Grade 7

Study concepts, example questions & explanations for Common Core: 7th Grade Math

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Example Questions

Example Question #3 : Understand That Statistics Can Be Used To Gain Information: Ccss.Math.Content.7.Sp.A.1

After a movie was shown in theaters, a director wanted to know what the people who saw his movie thought about the movie's ending. Select the option that best represents a sample.

Possible Answers:

Every person in the United States old enough to see the movie

All the boys who saw the movie 

Every person who saw the movie

A random selection of people who saw the movie

Correct answer:

A random selection of people who saw the movie

Explanation:

In order to answer this question we first need to know what "sample" means. A sample is a subset of a population. 

Because we want a subset, we don't want the entire population, which eliminates the answer choices "Every person who saw the movie" and "Every person in the United States old enough to see the movie". The question did not specify if the director wanted just the boys' opinions, which makes  "A random selection of people who saw the movie" the best answer choice. 

Example Question #5 : Statistics & Probability

A barbecue company wants to see if the people in Washington like their new flavor of barbecue. Select the option that best represents a population.

Possible Answers:

Every person in the United States

Adults in Washington 

Every person in Washington 

Children in Washington 

Correct answer:

Every person in Washington 

Explanation:

In order to answer this question we first need to know what "population" means. A population is the entire group that is being studied. In this case, people of Washington. 

Because the barbecue company is only concerned about what the people in Washington thinks of their new barbecue flavor, we can eliminate the option for everyone in the United States, because we are focused on only one state. Also, a population includes both adults and children, which is why "Every person in Washington" is the best answer choice. 

Example Question #6 : Statistics & Probability

A company that produces eye glasses for children in the United States wants to see if kids like their new style of glasses. Select the option that best represents a population.

Possible Answers:

Every child in the United States

Everyone in Florida

Every adult in the United States

Everyone in the United States

Correct answer:

Every child in the United States

Explanation:

In order to answer this question, we first need to know what "population" means. A population is the entire group that is being studied. In this case, it's all of the kids in the United States.  

Because the eye glasses company is only concerned about what kids think of their new style, we can eliminate all of the options that say "everyone" or "every adult", leaving us with "Every child in the United states" as our correct answer. 

Example Question #1 : Understand That Statistics Can Be Used To Gain Information: Ccss.Math.Content.7.Sp.A.1

A grocery store wanted to find out what brand of chips their customers buy most often. Select the option that best represents a population. 

Possible Answers:

A random sample of the grocery store's customers 

All of the grocery store's customers 

The entire population in California 

The entire population in the United States

Correct answer:

All of the grocery store's customers 

Explanation:

In order to answer this question we first need to know what "population" means. A population is the entire group that is being studied, in this case all of the customers the shop at the grocery store.

"The entire population in the United States" and "The entire population in California" are not the correct answer because not everyone in an entire population shops at the same grocery store, and this store is only concerned about their own customers. Also, a random sample does not represent a population, so that is not the correct answer. 

Example Question #8 : Statistics & Probability

A clothing store wanted to find out what accessories their customers buy most often. Select the option that best represents a population. 

Possible Answers:

The entire population in the United States

The entire population in Indiana

All of the clothing store's customers 

A random sample of the clothing store's customers 

Correct answer:

All of the clothing store's customers 

Explanation:

In order to answer this question we first need to know what "population" means. A population is the entire group that is being studied, in this case all of the customers the shop at the clothing store. 

"The entire population in the United States" and "The entire population in Indiana" are not the correct answer because not everyone in an entire population shops at the same clothing store, and this store is only concerned about their own customers. Also, a random sample does not represent a population, so that is not the correct answer. 

Example Question #9 : Statistics & Probability

After a school debate by the students running for student council, the principal wanted to know what the student body thought about the topics that were debated. Select the option that best represents a sample.

Possible Answers:

Everyone who was at the debate 

A random selection of the students who were at the debate 

The girls that attend the school 

All of the teachers 

Correct answer:

A random selection of the students who were at the debate 

Explanation:

In order to answer this question we first need to know what "sample" means. A sample is a subset of a population. 

Because we want a subset, we don't want the entire population, which eliminates the answer choices "Everyone who was at the debate ". Also, the principal wants to know what the student body thought about the topics debated, not the teachers, which eliminates "All of the teachers". Finally, the principal didn't specify if she wanted just the girls' opinions, which makes "A random sample of the students who were at the debate" the best answer choice. 

Example Question #711 : Grade 7

After a school choir concert, the music teacher wanted to know what the student body thought about the song choices. Select the option that best represents a sample.

 

Possible Answers:

All of the teachers 

A random selection of the students who were at the concert 

The girls that attend the school 

Everyone who was at the choir concert 

Correct answer:

A random selection of the students who were at the concert 

Explanation:

In order to answer this question we first need to know what "sample" means. A sample is a subset of a population. 

Because we want a subset, we don't want the entire population, which eliminates the answer choice "Everyone who was at the choir concert ". Also, the teacher wants to know what the student body thought about the songs, not the teachers, which eliminates "All of the teachers". Finally, the music teacher didn't specify if she wanted just the girls' opinions, which makes "A random sample of the students who were at the concert" the best answer choice. 

Example Question #1 : Use Data From A Random Sample To Draw Inferences About A Population: Ccss.Math.Content.7.Sp.A.2

The owner of a zoo wants to find out which animal exhibit is the most popular. The owner decided to take a random sample of the zoo's visitors to find out which exhibit was the visitor's favorite. Out of the  visitors of the zoo last Friday, the owner asked  visitors which exhibit was their favorite. The results are shown in the provided table.   

What inference can be made based on the results shown in the provided table? 

Screen shot 2016 03 01 at 9.42.51 am

 

Possible Answers:

The zoo could get rid of the Fish Exhibit with the least amount of upset visitors

No inference can be made based on this data 

The zoo could get rid of the Panda Exhibit with the least amount of upset visitors

The zoo could get rid of the Polar Bear Exhibit with the least amount of upset visitors

Correct answer:

The zoo could get rid of the Fish Exhibit with the least amount of upset visitors

Explanation:

We can use data from a random sample to make inferences about a population. In this case, our population is all of the visitors of the zoo on Friday, and the random sample is the  visitors that were randomly selected by the owner and asked which exhibit was their favorite.

Based on our answer choices, we are making an inference about which animal exhibit the zoo could get rid of with the least amount of upset visitors. The fish received the least votes out of the owner's pole; thus, we can infer—based on these results—that the least amount of people will be upset if the zoo got ride of the Fish Exhibit. 

Example Question #2 : Use Data From A Random Sample To Draw Inferences About A Population: Ccss.Math.Content.7.Sp.A.2

School elections are at the end of next week, and there are three students running for class president: Sara, Matt, and Joseph. The school principal decided to take a random sample of students and find out which candidate each student planned to vote into the role of class president. Out of the  students that attend the school, she asked  students how they planned to vote. The results are shown in the provided table.   

What inference can be made based on the results shown in the provided table? 

Screen shot 2016 03 01 at 8.26.43 am

Possible Answers:

Joe will win the election

Matt will win the election

No inference can be made based on this data 

Sara will win the election 

Correct answer:

Sara will win the election 

Explanation:

We can use data from a random sample to make inferences about a population. In this case, our population is the entire student body, and the random sample is the  students that were randomly selected by the principal and asked how they planned to vote. 

Based on our answer choices, we are making an inference about who will likely win the class election. Sara received the most votes out of the principal's pole; thus, we can infer—based on these results—that Sara will be the future student body class president.

Example Question #1 : Use Data From A Random Sample To Draw Inferences About A Population: Ccss.Math.Content.7.Sp.A.2

School elections are at the end of next week, and there are three students running for class president: Sara, Matt, and Joseph. The school principal decided to take a random sample of students and find out which candidate each student planned to vote into the role of class president. Out of the  students that attend the school, she asked  students how they planned to vote. The results are shown in the provided table.   

What inference can be made based on the results shown in the provided table? 

Screen shot 2016 03 01 at 8.26.43 am

 

Possible Answers:

Joseph will come in third place

Matt will come in third place

No inference can be made based on this data 

Sara will come in third place

Correct answer:

Joseph will come in third place

Explanation:

We can use data from a random sample to make inferences about a population. In this case, our population is the entire student body, and the random sample is the  students that were randomly selected by the principal and asked how they planned to vote. 

Based on our answer choices, we are making an inference about who will likely place third in the class election. Joseph received the least votes out of the principal's pole; thus, we can infer—based on these results—that Joseph will place third.

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