Mean, Median, Mode, and Range

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Mean, Median, Mode, and Range

• By Michelle Ftacek

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Daily Opener2-Minute Math

• Find the Average to each of the following
  problems.
• 1.) 25144859
• 2.) 75291532
• 3.) 79195682
• 4.) 46491099
• 5.) 35521989

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2-Minute MathAnswers

• 1.) 25144859
• 1464 36.5
• 2.) 7529153220
• 1715 34.2
• 3.) 791958
• 1563 52

• 4.) 46491099
• 2044 51
• 5.) 3552198945
• 2405 48

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Mean

• The mean is simply the average of all the items
  in a sample.
• To compute a sample mean, add up all the sample
  values and divide by the size of the sample.

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Example of Mean

• 73, 58, 67, 93, 33, 18, and 147.
• If you added up these values you would get a sum
  of 489.
• Divide that sum by 7 to get a mean of 69.9.

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Median

• The median is the midpoint in a series of numbers
• Half the data values are above the median, and
  half are below.
• Make sure to first place the numbers in order
  from least to greatest if they are not already in
  order.

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Median Example

• In the odd series 1, 12, 33, 4, 9
• Order the numbers first from least to greatest
• 1, 4, 9, 12, 33
• 9 is the median
• In the even series 1, 4, 10, 12, 33, 88
• These numbers are already in order
• 11 is the median (halfway between 10 and
  12)
• Note, the median is not necessarily the same as
  the AVERAGE (or mean). For example, the median of
  2, 6, 10, 22 and 40 is 10 but the average is 18.

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Easy Median Method

• In a series 23, 14, 25, 17, 19, 2, 6
• 1.) Place numbers in order from least to greatest
  vertically.
• 2
• 6
• 14
• 17
• 19
• 23
• 25

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Easy Method

• 2.) Cross out the numbers by crossing out the top
  number then the bottom number then back to the
  top and then back to the bottom and so on.
• 2
• 6
• 14
• 17
• 19
• 23
• 25

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Mode

• The mode is the value that occurs most frequently
  in a given series of numbers.
• For Example
• In the number series 2, 4, 5, 5, 5, 6, 7
• 5 is the mode
• In the number series 6, 13, 24, 13, 35, 13
• 13 is the mode
• There doesnt always have to be a mode.
• The series 2, 5, 7, 4, 8, 9 does not have a mode.
  You would simply state there is no mode.

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Range

• Range is simply the difference between the
  highest number in a series and the lowest number
  in a series.
• For Example
• In the series 2, 5, 6, 8, 9, 11
• The range is 11-29
• Note Make sure the numbers are in order to be
  sure you are getting the highest and lowest
  number correct.

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Turkey Farm Activity

• MATERIALS
• worksheet
• marker
• crayons
• 5 feathers for each student printed on
  construction paper
• scissors
• glue
• small paper plate
• Calculator (optional)

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Turkey Farm Procedure

• 1.) Distribute a worksheet that has a story that
  you make up
• For example
• "Your group owns a turkey farm. The newly
  elected President has chosen your farm to supply
  them with 5 turkeys for their special
  Thanksgiving dinner. Only the 5 heaviest turkeys
  will be chosen."
• George 25lbs
• Millie 22lbs
• lulu 24lbs
• kiki 30lbs
• chi chi 24lbs
• wonka 14lbs
• Kyle 23lbs
• boo 28lbs

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Procedure (conti.)

• 2.) The students choose the 5 heaviest and find
  the mean, median, mode, and range.
• 3.) The students then construct a turkey using
  the information and supplies given.
• 4.) Paper plate is the body where the mean,
  median, mode, and range are written
• 5.) The feathers made from construction paper are
  used to write the 5 weights of the turkeys on
  each one in order from least to greatest.
• 6.) The feathers are glued onto the paper plate,
  a copy of a turkey head is given and colored, and
  also attached to the plate
• 7.) Any extra details are added.
• 8.) Then place them on a bulletin board that
  reads, "Who let the turkeys out?"

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For Next Class

• Finished Turkeys for bulletin board
• Will review on mean, median, mode and range.
• Maybe Pop Quiz

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Other Activity Ideas

• http//www.theteacherscorner.net/lesson-plans/math
  /miscellaneous/mean.htm
• http//www.beaconlearningcenter.com/WebLessons/All
  Data/default.htmpage6

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Resources

• Turkey Farm Activity http//www.pacificnet.net/ma
  ndel/math.html
• http//wordnet.princeton.edu/perl/webwn
• www.gmhc.org/health/glossary3.html
• www.nmlites.org/standards/math/glossary.html
• Turkey head http//www.20ishparents.com/holiday/tc
  olor1.shtml
• Turkey Feathers http//www.kidsdomain.com/craft/ce
  gif/pum-tur3-feath.gif