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

varsity tutors app store varsity tutors android store

Example Questions

Example Question #71 : Median

Shelly took five tests and quizzes this semester in school. If her grades were , , , , and , what is her median test score?

Possible Answers:

Correct answer:

Explanation:

First, order the test scores from least to greatest:

 

Identify the middle test score:

Answer: Shelley's median test score is 92.

Example Question #2 : Find Median

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

Possible Answers:

Correct answer:

Explanation:

First, order the numbers from least to greatest: 

Find the median—the middle number:

Now, find the mode—the most recurring number:

Finally, subtract the median from the mode:

 

Example Question #1731 : Grade 6

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

Possible Answers:

Correct answer:

Explanation:

First, order the numbers from least to greatest:

In order to find the range, subtract the smallest number from the greatest:

Now, find the median by identifying the middle number:

Finally, subtract the range from the median:

Example Question #11 : How To Find Median

Given the following data sets of data, identify how the median would change if an additional data point of  was added to the new set? 

Data Set: 

New Data Set: 

Possible Answers:

Correct answer:

Explanation:

First, we need to find the median for the first data set: 

We must put the numbers in order from least to greatest: 

Since there is an even number of items in the data set, we will take the average of the middle two numbers to find the median. 

The median for this data set is:

 

Next, we must find the new median for the new data set: 

Again, we must put the numbers in order from least to greatest: 

Since there is an odd number of items, we can choose the middle number to be the median. 

In this case, the middle number is , which means the new median is:

Therefore, we know that the median will decrease by .

Example Question #12 : How To Find Median

Horatio's soccer team has scored the below number of goals in their last eight games, what is the median number of goals that have been scored? 

Possible Answers:

Correct answer:

Explanation:

First we must put the numbers  in order from least to greatest. 

After the numbers are in order, if it is an odd number of numbers we chose the middle number - that is the median. 

In this case, we have an even number of numbers, so we must take the average of the middle two numbers which is given below: 

So the median is !

Example Question #13 : How To Find Median

Horatio's soccer team has scored the below number of goals in their last  games: 

Horatio calculates the median to be  for this set of data. He then goes back and finds that the game where he thought they scored 9 goals; his team actually scored  goals - how will this change the median if he replaces the  with  in the data set? 

Possible Answers:

The median will increase by 

The median will remain unchanged

The median will increase by 

The median will increase by 

Correct answer:

The median will remain unchanged

Explanation:

When finding the median we must first reorganize the numbers from least to greatest, here is what the numbers are before and after they were organized. 

Given: 

After Organized from least to greatest: 

In order to find the Median for an even number of numbers (we have  numbers in this set) we take the average of the middle two numbers. 

Here we would add  which is , we then divide by two to find the mean which is

If we were to change the  to an , this does not impact the middle two numbers, they will remain  and  which means the Median will remain

The middle two numbers are still  and

The Median will remain unchanged.

Example Question #11 : Find Median

In Jane's previous six basketball games, she made the following number of baskets:

What is the median number of baskets she made?

Possible Answers:

Correct answer:

Explanation:

The first step to finding the median is to reorder the number of baskets that Jane scored from smallest to largest. This gives us:

The median number is the number in the middle of the set. Given that there are two middle numbers (4 and 6), the average of these numbers will be the median. 

The average of 4 and 6 is:

Example Question #14 : How To Find Median

Find the median 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 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 #12 : Find Median

Find the median of the data set provided:

Screen shot 2016 04 05 at 9.44.17 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 #13 : Find Median

Find the median of the data set provided:

Screen shot 2016 04 05 at 10.03.05 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 

Learning Tools by Varsity Tutors