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A measure of central tendency is a
   univariate statistic that indicates, in one
                          manner or another,

•the average or typical observed value of a
                   variable in a data set, or

•put otherwise, the center of the frequency
                    distribution of the data.
Mean is the average of a
  set of data. To calculate
 the mean, find the sum of
the data and then divide by
    the number of data.
What is the MEAN?
       How do we find it?
•The mean is the
numerical average of the
data set.

•The mean is found by
adding all the values in
the set, then dividing the
sum by the number of
values.
97
                        84    Add all the
 Lets find Abby’s       88    values.
MEAN science test
                        100
     score?
                        95
                        63
                              Divide the
                        73    sum by the
783          9          86
       ÷            +   97
                              number of
                              values.
The mean is 87          783
Median is the middle
number in a set of data
   when the data is
arranged in numerical
        order.
How to find the MEDIAN
when two numbers are in
             the middle?


 1. Add the two
   numbers.

 2. Then divide by 2.
Arrange values from least to greatest.


63 73 84 86 88 95 97 97 100

     Find the number that is in the middle.

           The median is 88.

 Half the numbers are
                              Half the numbers are
less than the median.       greater than the median.
A Hint for
remembering the
MODE…
The first two          The mode is the
letters give you a   number that occurs the
hint… MOde                   most.
   Most Often
What is the MODE?
      How do we find it?
The MODE is the piece of
data that occurs most
frequently in the data
set.
A set of data can have:
   One mode
   More than one mode
   No mode
Arrange the values from least to greatest.


63 73 84 86 88 95 97 97 100

Find the number that appears most or more
               frequently.

        The value 97 appears twice.
    All other numbers appear just once.

             97 is the MODE
Mean     The average


         The number or average
Median   of the numbers in the
         middle



Mode     The number that
         occurs most
What is the RANGE?
  How do we find it?



  The RANGE is the
difference between
     the lowest and
    highest values.
Arranging values from least to greatest
  makes it easier to find the RANGE.


63 73 84 86 88 95 97 97

Subtract the lowest value from the highest.

         97          34 is the RANGE
        -63               or spread
         34          of this set of data
Measures of central tendency

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Measures of central tendency

  • 1.
  • 2. A measure of central tendency is a univariate statistic that indicates, in one manner or another, •the average or typical observed value of a variable in a data set, or •put otherwise, the center of the frequency distribution of the data.
  • 3. Mean is the average of a set of data. To calculate the mean, find the sum of the data and then divide by the number of data.
  • 4. What is the MEAN? How do we find it? •The mean is the numerical average of the data set. •The mean is found by adding all the values in the set, then dividing the sum by the number of values.
  • 5. 97 84 Add all the Lets find Abby’s 88 values. MEAN science test 100 score? 95 63 Divide the 73 sum by the 783 9 86 ÷ + 97 number of values. The mean is 87 783
  • 6. Median is the middle number in a set of data when the data is arranged in numerical order.
  • 7. How to find the MEDIAN when two numbers are in the middle? 1. Add the two numbers. 2. Then divide by 2.
  • 8. Arrange values from least to greatest. 63 73 84 86 88 95 97 97 100 Find the number that is in the middle. The median is 88. Half the numbers are Half the numbers are less than the median. greater than the median.
  • 9. A Hint for remembering the MODE… The first two The mode is the letters give you a number that occurs the hint… MOde most. Most Often
  • 10. What is the MODE? How do we find it? The MODE is the piece of data that occurs most frequently in the data set. A set of data can have: One mode More than one mode No mode
  • 11. Arrange the values from least to greatest. 63 73 84 86 88 95 97 97 100 Find the number that appears most or more frequently. The value 97 appears twice. All other numbers appear just once. 97 is the MODE
  • 12. Mean The average The number or average Median of the numbers in the middle Mode The number that occurs most
  • 13. What is the RANGE? How do we find it? The RANGE is the difference between the lowest and highest values.
  • 14. Arranging values from least to greatest makes it easier to find the RANGE. 63 73 84 86 88 95 97 97 Subtract the lowest value from the highest. 97 34 is the RANGE -63 or spread 34 of this set of data