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1. Mean, Median,
Mode, & Range

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

3. 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.

4. 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

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.

6. 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

7. 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

8. 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.

9. 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

10. 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.

11. 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. O To find the mean:
O 1. ------------------- all values.
O 2. ----------------------- by the number of the
values.

14. 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

15. 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

16. 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

17. 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

18. 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 --------------- .

19. 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

20. To find the range:
1. Put numbers in ----------------- from least to
greatest.
2. --------------------------- the lowest number from
the highest number.

21. 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