Common Core: 7th Grade Math : Statistics & Probability

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

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Example Questions

Example Question #3 : Use Measure Of Center And Measure Of Variability To Compare Populations: Ccss.Math.Content.7.Sp.B.4

A teacher is comparing two students' median test scores, as show in the dot plots below. Which student had a higher median score, and what was this student's median score? 


1


2

Possible Answers:

Student A- 

Student A- 

Student B- 

Student B- 

Correct answer:

Student A- 

Explanation:

The median is the middle number of a set of data points. 

To solve for the median, we list our data points in order from least to greatest, and then find the number in the middle. 

Student A:

Student B:

Student A has the higher median score, 

Example Question #42 : Statistics & Probability

A teacher is comparing two students' median test scores, as show in the dot plots below. Which student had a higher median score, and what was this student's median score? 


1

2

Possible Answers:

Student A- 

Student B- 

Student B- 

Student A- 

Correct answer:

Student B- 

Explanation:

The median is the middle number of a set of data points. 

To solve for the median, we list our data points in order from least to greatest, and then find the number in the middle. 

Student A:

Student B:

Student B has the higher median score, 

Example Question #43 : Statistics & Probability

A teacher is comparing two students' median test scores, as show in the dot plots below. Which student had a higher median score, and what was this student's median score? 


1

2

Possible Answers:

Student B- 

Student B- 

Student A- 

Student A- 

Correct answer:

Student B- 

Explanation:

The median is the middle number of a set of data points. 

To solve for the median, we list our data points in order from least to greatest, and then find the number in the middle. 

Student A:

Student B:

Student B has the higher median score, 

Example Question #44 : Statistics & Probability

A teacher is comparing two students' median test scores, as shown in the dot plots below. Which student had a higher median score, and what was this student's median score? 


1

2

Possible Answers:

Student A- 

Student B- 

Student B- 

Student A- 

Correct answer:

Student B- 

Explanation:

The median is the middle number of a set of data points. 

To solve for the median, we list our data points in order from least to greatest, and then find the number in the middle. 

Student A:

Student B:

Student B has the higher median score, 

Example Question #1 : Understand Probability Of A Chance Event: Ccss.Math.Content.7.Sp.C.5

Select the answer choice that has the greatest probability of occurring. 

Possible Answers:

Using a standard deck of cards, drawing a  of diamonds 

Using a standard deck of cards, drawing a  

Using a standard deck of cards, drawing a  of hearts

Using a standard deck of cards, drawing a  of spades

Correct answer:

Using a standard deck of cards, drawing a  

Explanation:

Probability is represented by a number between  and .

Probabilities are usually written in a fraction form that expresses the likelihood of the event occurring. The greater the fraction—or number—then there is a better probability of the event occurring. 

Each of our answer choices use a standard deck of cards, which has  total cards.

First, let's find the probability of each event:

Drawing a  of hearts: There is only one  of hearts in a standard deck; thus, the probability is:

Drawing a  of diamonds: There is only one  of diamonds in a standard deck; thus, the probability is:

Drawing a  of spades: There is only one  of spades in a standard deck; thus, the probability is:

Drawing a : There are four s in a standard deck; thus, the probability is:

This is the greatest probability and the correct answer.

Example Question #2 : Understand Probability Of A Chance Event: Ccss.Math.Content.7.Sp.C.5

Select the answer choice that has the greatest probability of occurring. 

Possible Answers:

Using a standard deck of cards, drawing a King

Using a standard deck of cards, drawing a red King

Using a standard deck of cards, drawing a black King

Using a standard deck of cards, drawing the King of Hearts 

Correct answer:

Using a standard deck of cards, drawing a King

Explanation:

Probability is represented by a number between  and .

Probabilities are usually written in a fraction form that expresses the likelihood of the event occurring. The greater the fraction—or number—then there is a better probability of the event occurring. 

Each of our answer choices use a standard deck of cards, which has  total cards.

First, let's find the probability of each event:

Drawing the King of Hearts : There is only one King of Hearts in a standard deck; thus, the probability is:

Drawing a black King: There are two black Kings in a standard deck; thus, the probability is:

drawing a red King: There are two red Kings in a standard deck; thus, the probability is:

Drawing a King: There are four Kings in a standard deck; thus, the probability is:

This is the greatest probability and the correct answer.

Example Question #3 : Understand Probability Of A Chance Event: Ccss.Math.Content.7.Sp.C.5

Select the answer choice that has the greatest probability of occurring. 

 

Possible Answers:

Using a standard deck of cards, drawing an ace

Using a standard deck of cards, drawing a face card

Using a standard deck of cards, drawing a 

Using a standard deck of cards, drawing a red  

Correct answer:

Using a standard deck of cards, drawing a face card

Explanation:

Probability is represented by a number between  and .

Probabilities are usually written in a fraction form that expresses the likelihood of the event occurring. The greater the fraction—or number—then there is a better probability of the event occurring. 

Each of our answer choices use a standard deck of cards, which has  total cards.

First, let's find the probability of each event:

Drawing a red : There are two red s in a standard deck; thus, the probability is:

Drawing a  of diamonds: There are four  in a standard deck; thus, the probability is:

Drawing an ace: There four aces in a standard deck; thus, the probability is:

Drawing a face card: There are  face cards in a standard deck ( Jacks,  Queens,  Kings); thus, the probability is:

This is the greatest probability and the correct answer.

Example Question #3 : Understand Probability Of A Chance Event: Ccss.Math.Content.7.Sp.C.5

Select the answer choice that has the lowest probability of occurring. 

Possible Answers:

Using a standard deck of cards, drawing a red  

Using a standard deck of cards, drawing a 

Using a standard deck of cards, drawing a face card

Using a standard deck of cards, drawing an ace

Correct answer:

Using a standard deck of cards, drawing a red  

Explanation:

Probability is represented by a number between  and .

Probabilities are usually written in a fraction form that expresses the likelihood of the event occurring. The greater the fraction—or number—then there is a better probability of the event occurring. 

Each of our answer choices use a standard deck of cards, which has  total cards.

First, let's find the probability of each event:

Drawing a  of diamonds: There are four  in a standard deck; thus, the probability is:

Drawing an ace: There four aces in a standard deck; thus, the probability is:

Drawing a face card: There are  face cards in a standard deck ( Jacks,  Queens,  Kings); thus, the probability is:

Drawing a red : There are two red s in a standard deck; thus, the probability is:

This is the lowest probability and the correct answer.

Example Question #4 : Understand Probability Of A Chance Event: Ccss.Math.Content.7.Sp.C.5

Select the answer choice that has the greatest probability of occurring. 

 

Possible Answers:

Using a standard deck of cards, drawing a face card

Using a standard deck of cards, drawing a red 

Using a standard deck of cards, drawing a red card

Using a standard deck of cards, drawing an ace

Correct answer:

Using a standard deck of cards, drawing a red card

Explanation:

Probability is represented by a number between  and .

Probabilities are usually written in a fraction form that expresses the likelihood of the event occurring. The greater the fraction—or number—then there is a better probability of the event occurring. 

Each of our answer choices use a standard deck of cards, which has  total cards.

First, let's find the probability of each event:

Drawing a red : There are two red s in a standard deck; thus, the probability is:

Drawing an ace: There  aces in a standard deck; thus, the probability is:

Drawing a face card: There are  face cards in a standard deck ( Jacks,  Queens,  Kings) ; thus, the probability is:

Drawing a red card : Half of the cards in a standard deck are red; thus, the probability is:

This is the greatest probability and the correct answer.

Example Question #5 : Understand Probability Of A Chance Event: Ccss.Math.Content.7.Sp.C.5

Select the answer choice that has the lowest probability of occurring. 

Possible Answers:

Using a standard deck of cards, drawing a red 

Using a standard deck of cards, drawing a face card

Using a standard deck of cards, drawing an ace

Using a standard deck of cards, drawing a red card

Correct answer:

Using a standard deck of cards, drawing a red 

Explanation:

Probability is represented by a number between  and .

Probabilities are usually written in a fraction form that expresses the likelihood of the event occurring. The greater the fraction—or number—then there is a better probability of the event occurring. 

Each of our answer choices use a standard deck of cards, which has  total cards.

First, let's find the probability of each event:

Drawing an ace: There  aces in a standard deck; thus, the probability is:

Drawing a face card: There are  face cards in a standard deck ( Jacks,  Queens,  Kings) ; thus, the probability is:

Drawing a red card : Half of the cards in a standard deck are red; thus, the probability is:

Drawing a red : There are two red s in a standard deck; thus, the probability is:

This is the lowest probability and the correct answer.

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