Common Core: 6th Grade Math : Find Measures of Center, Variability, and Patterns in Data: CCSS.Math.Content.6.SP.B.5c

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

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Example Questions

Example Question #1 : Find Measures Of Center, Variability, And Patterns In Data: Ccss.Math.Content.6.Sp.B.5c

Subtract the mode from the median in this set of numbers:

9080, 9008, 9800, 9099, 9009, 9090, 9008

Possible Answers:

Correct answer:

Explanation:

First, order the numbers from least to greatest:

Then, find the mode (the most recurring number): 9008

Then, find the median (the middle number):

Finally, subtract the mode from the median:

Answer: 72.

Example Question #1 : Find Measures Of Center, Variability, And Patterns In Data: Ccss.Math.Content.6.Sp.B.5c

Consider the data set: 

What is the difference between the mean of this set and the median of this set?

Possible Answers:

Correct answer:

Explanation:

To get the mean, add the numbers and divide by 8:

To get the median, find the mean of the fourth- and fifth-highest elements (the ones in the middle):

The difference is 

Example Question #1 : Range

The difference between 2996 and 4515 is closest to 

Possible Answers:

Correct answer:

Explanation:

Round 2996 up to 3000 and 4515 down to 4500.  The difference between 4500 and 3000 is 1500.

Example Question #11 : Mean

In a group of 4 books, the average number of pages is is 10.  Juan adds a book with 20 pages to the group.  What is the new average number of pages?

Possible Answers:

Correct answer:

Explanation:

If the average of 4 books was 10, then the total number of pages was . Adding in the 20 new pages, but now dividing by 5 you get .

Example Question #1 : How To Find Mean

Give the mean of the data set (nearest tenth, if applicable): 

Possible Answers:

Correct answer:

Explanation:

Add the six elements and divide the sum by 6:

Example Question #2 : How To Find Mean

Find the mean of this set of numbers:

54, 41, 99, 120, 66.

Possible Answers:

Correct answer:

Explanation:

Firrst, add the numbers:

Then, divide by the amount of numbers in the set:

Answer: The mean is 76.

Example Question #21 : Data Analysis And Probability

Give the mean of the following eight scores: 

Possible Answers:

Correct answer:

Explanation:

Divide the sum of the scores by eight:

Example Question #1 : Find Measures Of Center, Variability, And Patterns In Data: Ccss.Math.Content.6.Sp.B.5c

Give the mean of the following nine scores: 

Possible Answers:

Correct answer:

Explanation:

Divide the sum of the scores by nine:

Example Question #13 : Mean

The average age of 4 people is 12.  What will be the sum of their ages in 3 years?

Possible Answers:

Correct answer:

Explanation:

The current sum of their ages is .  Since all 4 people will gain 3 years in age, we have to add 12 to the current sum.

Example Question #1 : How To Find Mean

Give the mean of the following data set:

Possible Answers:

Correct answer:

Explanation:

Since there are 16 elements, divide their sum by 16 to get the mean:

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