Common Core: 6th Grade Math : Statistics & Probability

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

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Example Questions

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:

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 there is a set number of girls in a particular class; therefore, it is not a statistical question..

Example Question #12 : 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.

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.  

Example Question #1441 : Grade 6

Select the description that best describes the distribution of the data shown in the provided dot plot. 

3

Possible Answers:

Right skewed 

Left skewed 

 

Symmetric 

 

Correct answer:

Left skewed 

 

Explanation:

In order to answer this question correctly, we need to define our answer options:

Symmetric: A symmetric distribution will have a middle, or center, and each side from the middle will look fairly similar. Many symmetrical distributions are bell shaped, with the middle being tall, and the two sides thinning out. 

Left skewed: A left skewed distribution will have most of the data on the right side of the number line.  

Right skewed: A right skewed distribution will have most of the data on the left side of the number line.  

The data shown in the number plot has most of the data on the right side; thus, left skewed is the correct answer. 

 

Example Question #1442 : Grade 6

Select the description that best describes the distribution of the data shown in the provided dot plot. 

1

Possible Answers:

Left skewed 

Symmetric 

Right skewed 

Correct answer:

Symmetric 

Explanation:

In order to answer this question correctly, we need to define our answer options:

Symmetric: A symmetric distribution will have a middle, or center, and each side from the middle will look fairly similar. Many symmetrical distributions are bell shaped, with the middle being tall, and the two sides thinning out. 

Left skewed: A left skewed distribution will have most of the data on the right side of the number line.  

Right skewed: A right skewed distribution will have most of the data on the left side of the number line.  

The data shown in the number plot provided has a bell shape look; thus, symmetric is the correct answer. 

2

Example Question #1443 : Grade 6

Select the description that best describes the distribution of the data shown in the provided dot plot. 


4

Possible Answers:

Left skewed 

 

Symmetric 

 

Right skewed 

Correct answer:

Right skewed 

Explanation:

In order to answer this question correctly, we need to define our answer options:

Symmetric: A symmetric distribution will have a middle, or center, and each side from the middle will look fairly similar. Many symmetrical distributions are bell shaped, with the middle being tall, and the two sides thinning out. 

Left skewed: A left skewed distribution will have most of the data on the right side of the number line.  

Right skewed: A right skewed distribution will have most of the data on the left side of the number line.  

The data shown in the number plot is mostly on the left side; thus, right skewed is the correct answer. 

 

Example Question #1444 : Grade 6

Select the description that best describes the distribution of the data shown in the provided dot plot. 


5

Possible Answers:

Symmetric 

Right skewed 

Left skewed 

 

Correct answer:

Symmetric 

Explanation:

In order to answer this question correctly, we need to define our answer options:

Symmetric: A symmetric distribution will have a middle, or center, and each side from the middle will look fairly similar. Many symmetrical distributions are bell shaped, with the middle being tall, and the two sides thinning out. 

Left skewed: A left skewed distribution will have most of the data on the right side of the number line.  

Right skewed: A right skewed distribution will have most of the data on the left side of the number line.  

The data shown in the number plot provided has a bell shape look; thus, symmetric is the correct answer. 

 

Example Question #1445 : Grade 6

Select the description that best describes the distribution of the data shown in the provided dot plot. 

7

Possible Answers:

Left skewed 

Symmetric 

Right skewed 

Correct answer:

Right skewed 

Explanation:

In order to answer this question correctly, we need to define our answer options:

Symmetric: A symmetric distribution will have a middle, or center, and each side from the middle will look fairly similar. Many symmetrical distributions are bell shaped, with the middle being tall, and the two sides thinning out. 

Left skewed: A left skewed distribution will have most of the data on the right side of the number line.  

Right skewed: A right skewed distribution will have most of the data on the left side of the number line.  

The data shown in the number plot is mostly on the left side; thus, right skewed is the correct answer. 

Example Question #1446 : Grade 6

Mrs. Frame's class counted the number pencils that each student had in his/her desk. The distribution of this data is show in the dot plot provided. What is the center of this distribution? 

1

Possible Answers:

Correct answer:

Explanation:

The data in the distribution shows the number of pencils each student found in his/her desk. Each student found  pencils in their desks. Based on this, and by looking at the graph, we can see that the enter of the distribution is 

Example Question #1447 : Grade 6

Mrs. Frame's class counted the number pencils that each student had in his/her desk. The distribution of this data is show in the dot plot provided. What is the most number of pencils that her students found? 

1

Possible Answers:

Correct answer:

Explanation:

The dot plot is on a number line that is numbered from  is the highest number on the number line, but there are no dots above that number, which means no one found  pencils in their desk.  is the next highest number, and there are two dots over the number on the number line; thus, the correct answer is 

Example Question #1448 : Grade 6

Mrs. Frame's class counted the number pencils that each student had in his/her desk. The distribution of this data is show in the dot plot provided. How many pencils did most of the students have? 

1

Possible Answers:

Correct answer:

Explanation:

If we look at the dot plot provided, the most number of dots is above the number  on the number line. There are  dots above the number , which means that  students found  pencils in their desks, which is the most students for the same number of pencils; thus,  is the correct answer. 

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