Common Core: 6th Grade Math : Grade 6
Study concepts, example questions & explanations for Common Core: 6th Grade Math
All Common Core: 6th Grade Math Resources
Example Questions
Example Question #2 : How To Find Median
Find the median of this set of numbers:
60, 74, 51, 43, 91,62, 65
First, place the numbers in order from least to greatest:
Then, identify the middle number: 62.
Example Question #1 : Find Median
Give the median of the following nine scores:
Arrange the scores from least to greatest.
There are an odd number (nine) of scores, so the median of the scores is the one that falls in the center - namely, 72.
Example Question #1 : Median
What is the median of the following set of numbers:
No number is the median for this set of numbers
The median is the number with an equal number of other items both above and below it. There are 9 total numbers in the list, 4 of them are below 7, and 4 of them are above 7.
Example Question #2 : Find Median
What is the median of the values 
The median of a set of values is the value that is in the middle when you rearrange the values from least to greatest. In this set, the values can be rearranged as 
Example Question #2 : Median
On a math test that the teacher gave her students, the scores were as follows:
What was the median score?
The median is the middle number in a set when the set of numbers is ordered sequentially.
When the intial set is reordered sequentially, you get the bottom set. (The top set is the original ordering of the numbers.)
In this sequential set of 7 numbers, the number 89 is in the fourth posiiton and exactly in the middle. Therefore, it is the mean.
Example Question #3 : Find Median
What is the median of this set of numbers?
To find the median of a set of numbers, you must first reorder them from smallest to largest. Below is the set reordered as such:
The median is the middle number of the set. Here, 57 is the middle number. Therefore, it is the median and the correct answer.
Example Question #3 : Find Median
Shelly took five tests and quizzes this semester in school. If her grades were 
First, order the test scores from least to greatest:
Identify the middle test score:
Answer: Shelley's median test score is 92.
Example Question #1 : Find Median
Subtract the median from the mode in this set of numbers:
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 #11 : Find Median
Subtract the range from the median in this set of numbers:
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 #81 : Data Analysis
Given the following data sets of data, identify how the median would change if an additional data point of 
Data Set:
New Data Set:
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 
Therefore, we know that the median will decrease by 
All Common Core: 6th Grade Math Resources
