What are the Mode, Mean, Median, and Range?

The mode, mean, and median are used to get the average of a set of numbers or data.

Mean – The mean is the total of all the numbers in the data divided by how many numbers there are in the data.

How to work out the Mean?

First you have to make sure that all of the numbers/data are put in order (smallest to largest).

Secondly you add them all up to get the total of the group of data/numbers.

Thirdly you divide the total by how many of the numbers are there.

Example

Using these set of numbers 3,7,5,8,7,9,1,4,7,4,5,7,6,3

1) Put the numbers/data in order smallest to largest. – 1,3,3,4,4,5,5,6,7,7,7,8,9

2) Add all the numbers/data up to get a total. – 1,3,3,4,4,5,5,6,7,7,7,8,9 = 69

3) Divide the total by how many numbers there are, so in this example it will be 69 ÷ 13 = 5.3

Note: Sometimes the answer isn’t a whole number. (Like in the example above).

Mode – The mode is the number that appears the most in a set or numbers or data.

How to work out the mode?

1) Put all of the numbers in order (smallest to largest)

2) After you have put the numbers in order, look for the one that appears the most.

Example

For this example I will use these set of numbers 3,7,5,8,7,9,1,4,7,4,5,7,6,3

Now put these in order 1,3,3,4,4,5,5,6,7,7,7,8,9 and look for the numbers that appear the most 1,3,3,4,4,5,5,6,7,7,7,8,9 in this example the mode of this set of data is 7.

Median – This is the number that is in the middle of the set of data/ numbers.

How to work out the Median?

1)Put the numbers in order

2) After the numbers in the set of data is put in order, then look for the number or numbers in the middle. Note: there are sometimes two in the middle.

If there are two numbers in the middle of the set of data then you get the number that is in the middle of the two

For this example I will use these set of numbers 3,7,5,8,7,9,1,4,7,4,5,7,6,3

Now put these numbers in order 1,3,3,4,4,5,5,6,7,7,7,8,9. Now look for the numbers in the middle. So in this example the middle numbers are 5 and 6. So we add the two numbers together which will be 11 and then divide by 2. 11 ÷ 2 = 5.5

Range – The range is the difference between the biggest and smallest numbers in a set of data.

How to work out the Range

1) Put the number in order.

2) Find the biggest number and the smallest number.

3) Then subtract the smallest number from the biggest.

Example

For this example I will use these set of numbers 3,7,5,8,7,9,1,4,7,4,5,7,6,3

Now put these numbers in order 1,3,3,4,4,5,5,6,7,7,7,8,9. In this example the smallest number is 1 and the biggest number is 9, so we do 9 – 1 = 8. So the range is 8

Hope this helped clear things up with the mean, mode, median and range.

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8 Responses to “What are the Mode, Mean, Median, and Range?”
  1. Chris Lee Says...

    On December 4, 2008 at 9:11 pm

    To derive the mean, why do the numbers need to be placed in order before being added together?


  2. Gary Rice Says...

    On December 6, 2008 at 2:51 pm

    It is not essential to do but may make it easier to add up. It also allows you to check your answer and make an estimation.

    E.G 1,2,3,4,5,6,7,8,9,10
    From this set of data you can estimate that the answer will not be 10, this helps you to check if the answer is right or not.


  3. Ena Says...

    On January 14, 2009 at 3:38 pm

    what is the answer to this problem. I do not get it. And could you please explain it.

    Q: Create a data set of 10 numbers with median 8 and mode 10.


  4. patricia denny Says...

    On February 3, 2009 at 7:06 pm

    hello iam in 5th grade at st.mar’s in natchitoches and I really don’t get it.


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    On April 22, 2009 at 11:07 am

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  6. Zakura Says...

    On April 22, 2009 at 11:08 am

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  7. ruth Says...

    On June 3, 2009 at 12:46 pm

    i


  8. Middle Skool Gurl Says...

    On November 23, 2009 at 10:32 pm

    what is a set of data with at least four numbers and has a mean of 8 and median that is NOT 8?
    im doing homewok adn dont get it


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