Mean, Median, Mode and Range

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Mean, Median, Mode and Range

• The Basics of Statistics

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Did You Know

• That you probably use Statistics such as Mean,
  Median, Mode and Range almost every day without
  even realizing it?!?

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Today We Will Learn

• Mean
• Median
• Mode
• Range
• And how to use these in everyday life, as well as
  the classroom!

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To Help You Learn

• You should have a Pencil, a Piece of Paper, and a
  Calculator if you need one.

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What Do We Already Know?

• Sure, the words Mean, Median, Mode and Range
  all sound confusing
• But what about the words we already know, like
  Average, Middle, Most Frequent, and Difference?
• They are all the same ideas!

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Mean

• The mean is the Average of a group of numbers
• It is helpful to know the mean because then you
  can see which numbers are above and below the
  mean
• It is very easy to find!

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Mean Example

• Here is an example test scores for Ms. Maths
  class.
• 82 93 86 97 82
• To find the Mean, first you must add up all of
  the numbers.
• 8293869782 433
• Now, since there are 5 test scores, we will next
  divide the sum by 5.
• 4405 88
• The Mean is 88!

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Median

• The Median is the middle value on the list.
• The first step is always to put the numbers in
  order.

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Median Example

• First, lets examine these five test scores.
• 78 93 86 97 79
• We need to put them in order.
• 78 79 86 93 97
• The number in the middle is 86
• 78 79 86 93 97
• In this case, the Median is 86!

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Median Example 2

• Now, lets try it with an even number of test
  scores.
• 92 86 94 83 72 88
• First, we will put them in order
• 72 83 86 88 92 94
• This time, there are two numbers in the middle,
  86 and 88
• 72 83 86 88 92 94
• Now we will need to find the Average of these two
  numbers, by adding them and dividing by two.
• 8688 174 1742 87
• Here the Median is 87

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Mode

• The Mode refers to the number that occurs the
  most frequently.
• Its easy to remember the first two numbers are
  the same! MOde and MOst Frequently!

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Mode Example

• Here is an list of temperatures for one week.
• Mon. Tues. Wed. Thurs. Fri. Sat.
  Sun.
• 77 79 83 77 83
  77 82
• Again, We will put them in order.
• 77 77 77 79 82 83 83
• 77 is the most frequent number, so the mode 77

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Range

• The range is the difference between the highest
  and the lowest numbers of the series.
• All we have to do is put the numbers in order and
  subtract!

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Range Example

• Lets look at the temperatures again.
• 77 77 77 79 82 83 83
• The highest number is 83, and the lowest is 77.
• All you need to do is subtract!
• 83-77 6
• In this case, the Range is 6

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__ __ __ _
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Now YOU try it!!!
This is the Stat Family!
Dad Mom Jack Alex Katie 34 33 5 5
1
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Mean

• Here are the ages again
• Dad- 34, Mom- 33, Jack- 5, Alex- 5, Katie- 1
• What is the Mean?
• Remember Mean is the AVERAGE
• Try it on your paper and see what you come up
  with!

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Mean

• Remember, to find the mean, we have to first add
  up all of the numbers.
• 3433551 80
• Then, since there are 6 people in the family, we
  next divide by 6.
• 786 13
• The Mean in this case is 13

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Median

• Here are the ages again
• Dad- 34, Mom- 33, Jack- 5, Alex- 5, Katie- 1
• What is the Median?
• Remember Median is the MIDDLE NUMBER
• Try it on your paper and see what you come up
  with!

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Median

• Remember, to find the mean, we have to first put
  all of the numbers in order.
• 34 33 5 5 1
• The Mean in this case is 5

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Mode

• Here are the ages again
• Dad- 34, Mom- 33, Jack- 5, Alex- 5, Katie- 1
• What is the Mode?
• Remember Mode is the MOST FREQUENT
• Try it on your paper and see what you come up
  with!

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Mode

• Remember, to find the mode, we have to first put
  all of the numbers in order.
• 34 33 5 5 1
• The Mode in this case is 5

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Range

• Here are the ages again
• Dad- 34, Mom- 33, Jack- 5, Alex- 5, Katie- 1
• What is the Range?
• Remember Range is the DIFFERENCE
• Try it on your paper and see what you come up
  with!

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Range

• Remember, to find the range, we have to first put
  all of the numbers in order.
• 34 33 5 5 1
• The highest age is 34, and the lowest is 1
• Now we need to subtract to find the difference
• 34-1 33
• The range is 33

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Next, Try it at home with your Family!
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To practice more, or to go for more help, then
try some of these websites!

• http//www.bbc.co.uk/schools/revisewise/maths/data
  /12_act.shtml
• http//www.mathgoodies.com/lessons/toc_vol8.shtm
• http//math.about.com/library/weekly/aa020502a.htm