Common Core: 7th Grade Math : Use Data from a Random Sample to Draw Inferences About a Population: CCSS.Math.Content.7.SP.A.2

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

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Example Questions

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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:

Sara will win the election 

Joe will win the election

No inference can be made based on this data 

Matt 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 #3 : 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:

Sara will come in third place

Joseph will come in third place

No inference can be made based on this data 

Matt 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.

Example Question #4 : 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:

No inference can be made based on this data 

Other than Matt, Joseph has the best chance of winning 

Other than Sara, Joseph has the best chance of winning 

Other than Sara, Matt has the best chance of winning

Correct answer:

Other than Sara, Matt has the best chance of winning

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 which two candidates will likely win the class election. Sara received the most votes out of the principal's pole, followed by Matt; thus, we can infer—based on these results—that Sara and Matt have the best chance to be the future student body class president.

Example Question #5 : 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 Gibbons Exhibit is the most popular

No inference can be made based on this data 

The Panda Exhibit is the most popular

The Polar Bear Exhibit is the most popular

Correct answer:

The Panda Exhibit is the most popular

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 is the most popular. The pandas received the most votes out of the owner's pole; thus, we can infer—based on these results—that the Panda Exhibit is the most popular exhibit at the zoo. 

Example Question #6 : 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 Snake Exhibit is the least popular  

The Fish Exhibit is the least popular 

The Panda Exhibit is the least popular 

No inference can be made based on this data 

Correct answer:

The Fish Exhibit is the least popular 

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 is the least popular. The fish received the least votes out of the owner's pole; thus, we can infer—based on these results—that the Fish Exhibit is the lest popular exhibit at the zoo. 

Example Question #7 : 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 Gorilla Exhibit and the Gibbons Exhibit are the top two most popular exhibits 

The Panda Exhibit and the Gorilla Exhibit are the top two most popular exhibits 

The Panda Exhibit and the Gibbons Exhibit are the top two most popular exhibits 

No inference can be made based on this data 

Correct answer:

The Panda Exhibit and the Gorilla Exhibit are the top two most popular exhibits 

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 two animal exhibits are the most popular. The pandas received the most votes out of the owner's pole, followed by the gorillas; thus, we can infer—based on these results—that the Panda Exhibit and the Gorilla Exhibit are the two most popular exhibits at the zoo. 

Example Question #8 : 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 Fish Exhibit and the Snake Exhibit are the two least popular exhibits 

No inference can be made based on this data 

The Snake Exhibit and the Polar Bear Exhibit are the two least popular exhibits 

The Fish Exhibit and the Polar Bear Exhibit are the two least popular exhibits 

Correct answer:

The Fish Exhibit and the Snake Exhibit are the two least popular exhibits 

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 two animal exhibits are the least popular. The fish received the least votes out of the owner's pole, followed by the snakes; thus, we can infer—based on these results—that the Fish Exhibit and the Snake Exhibit are the two least popular exhibits at the zoo. 

Example Question #9 : Use Data From A Random Sample To Draw Inferences About A Population: Ccss.Math.Content.7.Sp.A.2

A ballroom dance school wants to find out which dance their clients had the most fun learning. Out of the  students that attend the dance school, the manager asked  students which style of dance they had the most fun learning. 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 10.29.40 am

 

Possible Answers:

The swing and the rumba were the two most fun dances to learn 

No inference can be made based on this data

The salsa and the swing were the two most fun dances to learn 

The salsa and the tango were the two most fun dances to learn 

Correct answer:

The salsa and the swing were the two most fun dances to learn 

Explanation:

We can use data from a random sample to make inferences about a population. In this case, our population is all of the clients that go to the dance school, and the random sample is the  students that were randomly selected by the manager.

Based on our answer choices, we are making an inference about which two styles of dance were the most fun to learn. More students had the most fun learning the swing dance, followed by the salsa; thus, we can infer—based on these results—that the swing dance  and the salsa were the most fun dances to learn.

Example Question #10 : Use Data From A Random Sample To Draw Inferences About A Population: Ccss.Math.Content.7.Sp.A.2

A ballroom dance school wants to find out which dance their clients had the most fun learning. Out of the  students that attend the dance school, the manager asked  students which style of dance they had the most fun learning. 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 10.29.40 am

 

Possible Answers:

The fox trot was the least fun dance to learn

The salsa was the least fun dance to learn

No inference can be made based on this data 

The tango was the least fun dance to learn

Correct answer:

The fox trot was the least fun dance to learn

Explanation:

We can use data from a random sample to make inferences about a population. In this case, our population is all of the clients that go to the dance school, and the random sample is the  students that were randomly selected by the manager.

Based on our answer choices, we are making an inference about which style of dance was the least fun to learn. The least number of students had fun learning the fox trot dance; thus, we can infer—based on these results—that the fox trot is the least fun dance to learn.

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