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Mean_ Median_ Mode_ and Range

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Mean_ Median_ Mode_ and Range Powered By Docstoc
					Warm Up
   Solve the following:

    1) 7  4  3  8  5    27
    2) 87  19     68
       48
    3)    
       5
    4) 9  7=
Warm Up
   Solve the following:

    1) 7  4  3  8  5    27
    2) 87  19     68
       48
    3)    
       5
    4) 9  7=   63
Mean, Median, Mode, and Range




                          Mr. Swaner
How we usually think of
“averages”
   In baseball there are batting averages
   Your grade in a class is called an average
   Kobe Bryant averaged 29.2 points per game
    in 2010
   The average weight of an adult male is 189.2
    lbs
   The average life span of a human is 67.2
    years
Misleading
   There are many different types of average.
   Mean, median, and mode are all
    measurements of average.
Definitions
   Mean:
       What we think of when we say average. Add up all the
        numbers and divide by how many we added together.
   Median
       The middle number if they are lined up consecutively. (1, 1, 2,
        3, 5, 6, 6,)
   Mode
       The number that occurs most often. There can be more than
        one mode in a set, or no mode at all
   Range
       The difference between the highest value and the lowest
        value. (Subtract them)
   Outlier
       A value much higher or much lower than the rest of the data
Mean
Example: Find the mean

                     5


        4  7  6  2 1             20
          add up all the numbers

          divide by how many we added together.

  20
          4     The mean of this data set is 4
  5
Try it out
   Find the mean

2  3  4  2 1 5  3  4               24
    24
        3          The mean of this data set is 3
    8
Median
   Find the median (the middle)
       Remember, the numbers must be in order

                1,3,5,7,8,9, 2, 4,9
                         Better?

                1, 2,3, 4,5,7,8,9,9
                The median of this set is 5
What if…….
   What if when I order the numbers from least
    to greatest, cross them out and end up with 2
    numbers in the middle??????????

                 2,3, 4,5,7,8,9,9
       You have to find the mean of those two numbers
        (The number perfectly between both of them)

                      12
5  7  12               6             The median of this
                                        set of data is 6
                       2
Try it
                              Put them in order first
   Find the median
                7,5,9, 4, 2,1,6,8
                1, 2, 4,5,6,7,8,9
5  6  11            You could have used division,
                      or recognized that 5.5 is perfectly
                      between 5 and 6.
    11
        5.5
     2                  The median is 5.5
Mode
   The number in the set that appears most
    often. (order does not matter.)

           20, 22, 27, 22, 26, 20, 22,35
Mode
   The number in the set that appears most
    often. (order does not matter.)

           20, 22, 27, 22, 26, 20, 22,35
          22 appears three times. That is more
          often than any other number appears


              The mode of this set is 22
    But What if…….
   But what if more than just one number shows up
    the most (they show up the same number of times)

             56, 40, 42,56,58, 40
    But What if…….
   But what if more than just one number shows up
    the most (they show up the same number of times)

              56, 40, 42, 56, 58, 40
       Both 56 and 40 showed up twice. That
       makes the mode BOTH 56 AND 40

         If no number is duplicated then there is no mode
Try

   Find the mode:

       100,122,97,122,115,97,98,100
Try

   Find the mode:

       100,122, 97,122,115, 97,98,100
           100, 122, and 97 all showed up twice.



       The mode for this set of data is 97, 100, and 122.
Range
   Find the range (subtract the smallest number
    from the largest number)

      100,116, 230, 27,95,150, 25,174
Range
   Find the range (subtract the smallest number
    from the largest number)

      100,116, 230, 27,95,150, 25,174
                 biggest          smallest



230  25  205               The range is 205
Try
   Find the range

             50, 27,12,33,19,84
              50, 27,12,33,19,84

84 12  72
                     The range for this set is 72
Outlier
   Find the outlier

          15, 22,34,172,12,18, 28
Outlier
   Find the outlier

          15, 22,34,172,12,18, 28
Upper and Lower Extreme
   Just like they sound.
       The upper extreme is the largest number in the
        data set
       The lower extreme is the………………?
Closure
   I am hiring new workers at my store. Before
    you start, I will let you decide which method
    you will use to determine your hourly wage.

   You can have the mean hourly wage, the
    median hourly wage, or the mode hourly
    wage of the current employees.

   Take out a sheet of paper and write your
    chosen method.
Here are the current hourly
wages
   12, 15, 8, 8, 12, 35, 8,
   Get together with your partner, determine the
    mean, median, mode, and range.
   What was the best choice?
   Mean = $14 Median = $12 Mode = $8
   Why is the mean so much more?
Homework
   You are going to ask 10 people how many
    slices of regular crust, regular sized pizza
    they think they could eat if they were in a
    pizza eating competition. You can ask
    anyone you want. I just want you to record
    the data in a table and bring it to class
    tomorrow.

   Here is an example
Example

  Male/Female   # of slices
  1.
  2.
  3.
  4.
  5.
  6.
  7.
  8.
  9.
  10.

				
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