Mean. Median_ Mode and Range

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					Mean. Median, Mode and
        Range
What do you already know?
    How do we find the MEAN of a
         group of numbers?
 If we are trying to find
  the MEAN of a group
  of numbers, what are
  we actually looking
  for?
And the survey says!!!!




AVERAGE
            Finding the MEAN
Lets find the mean
  together.

I have 6 people in my
   family (including 2
   dogs)
      Ages of my family members
   My dad is 57 years old
   My mom is 55 years old
   My sister Jillian is 24 years old
   I am 29 years old
   Max, my big dog is 12 years old
   Lucy, the puppy is 1

 What is the mean (average) age of my family?
                Now what?
 The first thing we need to do is put the set of
  numbers we are working with in order.
 Lucy 1
 Max 12
 Jillian 24
 Me 29
 Mom 55
 Dad 57
                    Next step
 The next thing I will do
  is add up all the ages
  of my family members
 1+12+24+29+55+57
 The total of all ages of
  my family members
  put together is 178.
                   Then what?
 After I added up all the
  ages I need to divide by
  the number of people in
  my family.
 Since there are 6 people in
  my family, I need to divide
  the total of the ages (178)
  by 6.

 6/178
    Now I have found the Mean
 After dividing the total amount of all the ages
  by the amount of people in my family the
  MEAN age is 29.6
 Lets round up to the nearest whole number.
 The mean age for the people in my family
  would be 30.
        Now try it on your own
 Think about all the people in your family.
 On your card list the ages of all your family
  members (including dogs or cats).
 If you are not sure exactly how old they are
  make a good guess.
           Find that MEAN!!
Step 1- put all the ages of your family
  members in order
Step 2- add up all the ages
Step 3- once you add the ages up and get a
  total, divide by the number of people in your
  family.
Step 4- if you need to, round to the nearest
  whole number
How did you do?
                   Median
Finding the median of a
  group of numbers is
  very easy.

Lets find the median
  using the amount of
  runs that the Yankees
  have scored over the
  last 7 games.
    Amount of runs scored by the
   Yankees over the last 7 games
September   15th    4
September   16th    5
September   18th    2
September   19th   10
September   20th   1
September   21st   2
September   22nd   6
          Finding the MEDIAN
 The median is the number that falls in the
 middle.           Just like a median on the
 highway.

 What do we need to do first?
 Line up all the runs in numerical order
      1, 2, 2, 4, 5, 6, 10
           Lets find the Median
 After we line up all
  numbers in the correct
  order, we look at the
  number that falls in the
  middle.

 1, 2, 2, 4, 5, 6, 10
What is the MEDIAN of the runs the
Yankees have scored over the last 7
             games?
          Try one on your own
 Find the median of the
  following numbers

 21, 45, 6, 8, 34, 56, 15,
  21, 30
And the survey says…
                 MODE
 The MODE is the number that occurs the
  most.
 Lets go back to the runs scored by the
  Yankees
    Amount of runs scored by the
   Yankees over the last 7 games
September   15th    4
September   16th    5
September   18th    2
September   19th   10
September   20th   1
September   21st   2
September   22nd   6
           Finding the Mode
 1,2,2,4,5,6,10
 In that group of
  numbers, what is
  MODE?
 Remember that the
  MODE is the number
  that occurs the most.
                    Range
 The RANGE of a set of
  data is the difference
  between the highest
  and lowest numbers in
  the set

 In order to find the
  range lets go back to
  the ages of my family
  members
      Ages of my family members
   My dad is 57 years old
   My mom is 55 years old
   My sister Jillian is 24 years old
   I am 29 years old
   Max, my big dog is 12 years old
   Lucy, the puppy is 1
          Finding the Range
 In order to find the RANGE we need to line
  up our numbers in order.
 After this is complete you subtract the
  lowest number from the highest.
 Since my dad is 57 and he is the oldest and
  my youngest dog Lucy is 1, we subtract 57-
  1.
 Our range is 56
                  Your Turn
 What is the range of
  ages in your family?
                Lets review
 Mean
  – average
 Median
  – Number that falls in the middle
 Mode
  – Number that occurs the most
 Range
  – The difference between the highest and lowest
    numbers in a set

				
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