Common Core: 6th Grade Math : Find median

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

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Example Questions

Example Question #1 : Mean

Give the median of the following eight scores: 

Possible Answers:

Correct answer:

Explanation:

Arrange the scores from least to greatest.

There are an even number (eight) of scores, so the median is the arithmetic mean of the middle two scores, 72 and 73. This makes the median

Example Question #41 : Find Measures Of Center, Variability, And Patterns In Data: Ccss.Math.Content.6.Sp.B.5c

Find the median of this set of numbers:

753, 159, 456, 654, 852, 963, 741.

 

Possible Answers:

Correct answer:

Explanation:

First, order the numbers from least to greatest.

Then, identify the middle number:

 

 

 

Example Question #1 : How To Find Median

Find the median of this set of numbers:

60, 74, 51, 43, 91,62, 65

Possible Answers:

Correct answer:

Explanation:

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: 

Possible Answers:

Correct answer:

Explanation:

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

What is the median of the following set of numbers:

 

Possible Answers:

No number is the median for this set of numbers

Correct answer:

Explanation:

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 #1 : Median

What is the median of the values , , , , ?

Possible Answers:

Correct answer:

Explanation:

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  and the median is .

Example Question #11 : Median

On a math test that the teacher gave her students, the scores were as follows:

What was the median score?

Possible Answers:

Correct answer:

Explanation:

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 #1 : How To Find Median

What is the median of this set of numbers?

Possible Answers:

Correct answer:

Explanation:

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 #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:

 

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