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 : 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:

Other than Sara, Joseph has the best chance of winning 

No inference can be made based on this data 

Other than Matt, 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 #4 : 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 Polar Bear Exhibit is the most popular

No inference can be made based on this data 

The Panda Exhibit is the most popular

The Gibbons 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 #2 : 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 Panda Exhibit is the least popular 

The Fish 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 #3 : 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 Gibbons Exhibit are the top two most popular exhibits 

The Panda Exhibit and the Gorilla 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 #4 : 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 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 

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

No inference can be made based on this data 

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 #5 : 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 salsa and the tango were the two most fun dances to learn 

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

No inference can be made based on this data

The swing and the rumba 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 #721 : Grade 7

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 tango was the least fun dance to learn

No inference can be made based on this data 

The salsa 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.

Example Question #21 : Statistics & Probability

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 visitors' 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:

If the zoo got rid of the Fish Exhibit, they'd have the most upset visitors

No inference can be made based on this data 

If the zoo got rid of the Panda Exhibit, they'd have the most upset visitors

If the zoo got rid of the Polar Bear Exhibit, they'd have the most upset visitors

Correct answer:

If the zoo got rid of the Panda Exhibit, they'd have the most 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, if the zoo got rid of, would create the most upset visitors. The pandas received the most votes out of the owner's pole; thus, we can infer—based on these results—that if the zoo got rid of the Panda Exhibit, they'd have the most upset visitors. 

 

Example Question #1 : Informally Assess The Degree Of Visual Overlap In Data: Ccss.Math.Content.7.Sp.B.3

A university wanted to compare the heights of women on the basketball team and women on the swim team. The data is in the dot plots provided. 

Basketball players

 

Swimmers

 Using the dot plots provided, what are the visual overlaps? 

Possible Answers:

All of the choices are correct

Correct answer:

All of the choices are correct

Explanation:

The visual overlaps are heights that both dot graphs have in common. In this case, there are both swimmers and basketball players that are , and ; thus, all the answer choices are correct. 

Example Question #2 : Informally Assess The Degree Of Visual Overlap In Data: Ccss.Math.Content.7.Sp.B.3

A university wanted to compare the heights of women on the basketball team and women on the swim team. The data is in the dot plots provided. 

Basketball players

 

Swimmers

 Using the dot plots provided, what is the difference between the mean heights of basketball players and swimmers, rounded to the nearest tenth?  

Possible Answers:

Correct answer:

Explanation:

The mean is the average of a data set. In order to solve for the mean, we add all of our heights together, and divide by the number of people in our data set. 

Basketball players:

Swimmers: 

To find the different, we subtract our two means:

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