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 #14 : Find Median

Find the median of the data set provided:

Screen shot 2016 04 05 at 10.19.45 am

Possible Answers:

Correct answer:

Explanation:

In order to answer this question correctly, we need to recall the definition of median:

Median: The median of a data set is the middle value, when the data set is ordered from least to greatest. 

In order to find the median, we need to first organize the data from least to greatest:

Next, we can solve for the median by finding the middlemost number in our data:

The median for this data set is 

Example Question #1 : Find Range

Find the range of this set of numbers:

89, 54, 76, 89, 94.

Possible Answers:

Correct answer:

Explanation:

First, order the numbers from least to greatest, then find the difference of the highest number and the lowest number.

 

Answer: The range of this set of numbers is 40.

Example Question #1 : Find Range

Find the range of this set of numbers:

525, 436, 142, 213, 641.

Possible Answers:

Correct answer:

Explanation:

First, order the numbers from least to greatest. Then, find the difference between the largest and the smallest number.

Answer: The range is

Example Question #2 : Find Range

What is the range of the set of numbers ?

Possible Answers:

Correct answer:

Explanation:

The range of a set of numbers is the difference between the largest and smallest numbers. In this set,  is the largest number and  is the smallest number. The range, or difference, between these two numbers, is .

Example Question #1 : Find Range

Find the range of this set of numbers:

Possible Answers:

Correct answer:

Explanation:

First order the numbers in order from least to greatest:

Then, find the difference of the largest and smallest number in the set:

Answer: The range is 

Example Question #5 : Find Range

What is the range of the set of numbers:

  

Possible Answers:

Correct answer:

Explanation:

The ragne of a set of numbers is the difference between the largest and smallest numbers. In this set,  is the largest number and  is the smallest number. The range, or difference, between these two numbers, is .

Example Question #6 : Find Range

What is the range of the following data set?

Possible Answers:

Correct answer:

Explanation:

The range of a data set is equal to the difference between the largest and the smallest numbers.

Example Question #1 : Find Range

Find the range of this set of numbers:

Possible Answers:

Correct answer:

Explanation:

First order the numbers from least to greatest:

Then subtract the smallest number from the largest number:

Answer:

Example Question #1 : Find Range

Given the following set of numbers, find the range. 

Possible Answers:

Correct answer:

Explanation:

In order to find the range for a set of data, take the largest number and subtract the smallest number. 

In this case, the largest number is  and the smallest number is

Remember that when we subtract a negative, we are actually adding the absolute value of the numbers: 

Therefore:

 is the same as  

Example Question #9 : Find Range

Find the range of the data set provided:

Screen shot 2016 04 05 at 8.55.18 am

Possible Answers:

Correct answer:

Explanation:

In order to answer this question correctly, we need to recall the definition of range:

Range: The range of a data set is the difference between the highest value and the lowest value in the set. 

In order to find the range, we need to first organize the data from least to greatest to find the lowest and highest values:

Next, we can solve for the difference between the highest value and the lowest value:

The range for this data set is 

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