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Mean, Median,
Mode, & Range
Agenda
O Review
O Mean
O Median
O Mode
O Range
O Mean, median, mode, range foldable
O Worksheet
O Playing a game
O Quiz
Review
O http://www.youtube.com/watch?v=qZewHs
 omPbM
O Mean : (average)




O The "Mean" is computed by adding all of
 the numbers in the data together and
 dividing by the number elements
 contained in the data set.
O Example :


O Data Set = 2, 5, 9, 3, 5, 4, 7


O Number of Elements in Data Set = 7


O Mean = ( 2 + 5 + 9 + 7 + 5 + 4 + 3 ) / 7 = 5
O Median : (middle)


O The "Median" of a data set is dependent on
  whether the number of elements in the data set
  is odd or even.
O First reorder the data set from the smallest to
  the largest
O Mark off high and low values until you reach the
  middle.
O If there 2 middles, add them and divide by 2.
O Examples : Odd Number of Elements


O Data Set = 2, 5, 9, 3, 5, 4, 7


O Reordered = 2, 3, 4, 5, 5, 7, 9
                          ^
O Median = 5
O Examples : Even Number of Elements


O Data Set = 2, 5, 9, 3, 5, 4


O Reordered = 2, 3, 4, 5, 5, 9
                       ^^
  Median = ( 4 + 5 ) / 2 = 4.5
O Mode : (most often)


O The "Mode" for a data set is the element
  that occurs the most often.

O It is not uncommon for a data set to have
  more than one mode.

O This happens when two or more elements
  occur with equal frequency in the data set.
O Example :
O Data Set = 2, 5, 9, 3, 5, 4, 7
O Mode = 5


O Example:
O Data Set = 2, 5, 2, 3, 5, 4, 7
O Modes = 2 and 5
O Range :


O The "Range" for a data set is the
  difference between the largest value and
  smallest value contained in the data set.

O First reorder the data set from smallest to
  largest then subtract the first element
  from the last element.
Examples :

O Data Set = 2, 5, 9, 3, 5, 4, 7


O Reordered = 2, 3, 4, 5, 5, 7, 9


O Range = ( 9 - 2 ) = 7
O To find the mean:
O 1. ------------------- all values.
O 2. ----------------------- by the number of the
  values.
O Example :


O Data Set = 2, 5, 9, 3, 5, 4, 7


O Number of Elements in Data Set = 7


O Mean = ( 2 + 5 + 9 + 7 + 5 + 4 + 3 ) / 7 = 5
To find the median:

O 1. Put numbers in -------------------- from least
  to greatest.

O 2. Mark off high and low values until you
  reach the ------------------

O 3. If there 2 middles, add them and ------------
  ------ by 2
O Examples : Odd Number of Elements


O Data Set = 2, 5, 9, 3, 5, 4, 7


O Reordered = 2, 3, 4, 5, 5, 7, 9
                          ^
O Median = 5
O Examples : Even Number of Elements


O Data Set = 2, 5, 9, 3, 5, 4


O Reordered = 2, 3, 4, 5, 5, 9
                       ^^
  Median = ( 4 + 5 ) / 2 = 4.5
O To find the mode:


O 1. Put numbers in ------------------ from least to
  greatest.

O 2. Find the numbers that appears the -----------
  -----.

O 3. There may be more than one mode, or
O there may be --------------- .
O Example :
O Data Set = 2, 5, 9, 3, 5, 4, 7
O Mode = 5


O Example:
O Data Set = 2, 5, 2, 3, 5, 4, 7
O Modes = 2 and 5
To find the range:

1. Put numbers in ----------------- from least to
greatest.

2. --------------------------- the lowest number from
the highest number.
Examples :

O Data Set = 2, 5, 9, 3, 5, 4, 7


O Reordered = 2, 3, 4, 5, 5, 7, 9


O Range = ( 9 - 2 ) = 7
Worksheet
Find the mean, median, mode, range
Playing a game

http://www.quia.com/rr/51667.html
Quiz

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Mean, median, mode, & range ppt

  • 2. Agenda O Review O Mean O Median O Mode O Range O Mean, median, mode, range foldable O Worksheet O Playing a game O Quiz
  • 4. O Mean : (average) O The "Mean" is computed by adding all of the numbers in the data together and dividing by the number elements contained in the data set.
  • 5. O Example : O Data Set = 2, 5, 9, 3, 5, 4, 7 O Number of Elements in Data Set = 7 O Mean = ( 2 + 5 + 9 + 7 + 5 + 4 + 3 ) / 7 = 5
  • 6. O Median : (middle) O The "Median" of a data set is dependent on whether the number of elements in the data set is odd or even. O First reorder the data set from the smallest to the largest O Mark off high and low values until you reach the middle. O If there 2 middles, add them and divide by 2.
  • 7. O Examples : Odd Number of Elements O Data Set = 2, 5, 9, 3, 5, 4, 7 O Reordered = 2, 3, 4, 5, 5, 7, 9 ^ O Median = 5
  • 8. O Examples : Even Number of Elements O Data Set = 2, 5, 9, 3, 5, 4 O Reordered = 2, 3, 4, 5, 5, 9 ^^ Median = ( 4 + 5 ) / 2 = 4.5
  • 9. O Mode : (most often) O The "Mode" for a data set is the element that occurs the most often. O It is not uncommon for a data set to have more than one mode. O This happens when two or more elements occur with equal frequency in the data set.
  • 10. O Example : O Data Set = 2, 5, 9, 3, 5, 4, 7 O Mode = 5 O Example: O Data Set = 2, 5, 2, 3, 5, 4, 7 O Modes = 2 and 5
  • 11. O Range : O The "Range" for a data set is the difference between the largest value and smallest value contained in the data set. O First reorder the data set from smallest to largest then subtract the first element from the last element.
  • 12. Examples : O Data Set = 2, 5, 9, 3, 5, 4, 7 O Reordered = 2, 3, 4, 5, 5, 7, 9 O Range = ( 9 - 2 ) = 7
  • 13.
  • 14. O To find the mean: O 1. ------------------- all values. O 2. ----------------------- by the number of the values.
  • 15. O Example : O Data Set = 2, 5, 9, 3, 5, 4, 7 O Number of Elements in Data Set = 7 O Mean = ( 2 + 5 + 9 + 7 + 5 + 4 + 3 ) / 7 = 5
  • 16. To find the median: O 1. Put numbers in -------------------- from least to greatest. O 2. Mark off high and low values until you reach the ------------------ O 3. If there 2 middles, add them and ------------ ------ by 2
  • 17. O Examples : Odd Number of Elements O Data Set = 2, 5, 9, 3, 5, 4, 7 O Reordered = 2, 3, 4, 5, 5, 7, 9 ^ O Median = 5
  • 18. O Examples : Even Number of Elements O Data Set = 2, 5, 9, 3, 5, 4 O Reordered = 2, 3, 4, 5, 5, 9 ^^ Median = ( 4 + 5 ) / 2 = 4.5
  • 19. O To find the mode: O 1. Put numbers in ------------------ from least to greatest. O 2. Find the numbers that appears the ----------- -----. O 3. There may be more than one mode, or O there may be --------------- .
  • 20. O Example : O Data Set = 2, 5, 9, 3, 5, 4, 7 O Mode = 5 O Example: O Data Set = 2, 5, 2, 3, 5, 4, 7 O Modes = 2 and 5
  • 21. To find the range: 1. Put numbers in ----------------- from least to greatest. 2. --------------------------- the lowest number from the highest number.
  • 22. Examples : O Data Set = 2, 5, 9, 3, 5, 4, 7 O Reordered = 2, 3, 4, 5, 5, 7, 9 O Range = ( 9 - 2 ) = 7
  • 23. Worksheet Find the mean, median, mode, range
  • 25. Quiz