Page 148 - Math Course 2 (Book 2)
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Measure of Central Tendency
         Mo. 11


           Lesson 1                                         mean

                                                            The mean is simply the average, i.e. sum of all the
                                                            numbers divided by the number of numbers.

          KEY CONCEPTS:                                                        Mean
                                                           Sum of all values divided by total number of values.
          1. Use the mean, median and mode as
              measure of central tendency.                              x
          2. Choose an appropriate measure of central                x  x   x       x      x
                                                                        x
                                                                            x
              tendency and recognize measure of                      x  x   x   x   x  x   x
                                                                                           x
                                                                     x
                                                                                    x
                                                                                       x
                                                                            x
                                                                        x
              statistics.                                        x   x  x   x   x   x  x   x   x   x
                                                             1    2      3     4     5      6     7      8     9    10   11   12
         MO. 11 - L1a                                    Source : National Weather Services
                 Using Mean, Median,                     mean =  2+3(4)+4(6)+5(5)+6(2)+7(4)+8(3)+9(4)+10+11  ≈5.9
                                                                                  31
                         and Mode
                                                            median
                     Vocabulary A-Z                         The median is simply the midpoint of the
                                                            distribution, i.e. there are as many numbers
                     Let us learn some vocabulary           above it as below it.  The mean of the middle
                                                            two numbers.

                                                                               Median
         measures of central tendency                       Middle value (when the data are arranged in order)
         mean, median, and mode are measures of central                    N + 1/2 Position
         tendency to help you capture, with a single number,        Median          Mean
         what is typical of the data.

                     Sum of all values divided by total
           Mean
                     number of values

          Median     Middle value (when the data are
                     arranged in order)                     mode
           Mode      Most common value.                     The mode is simply the most commonly occurring
                                                            value.


                  Central Tendency Measures                 In a class of 50 students graded on a scale of 1-5,
                                                            the distribution may be as shown in the figure. The
                                                                        mode of this data is 4.
          Measure       Formula         Description

           Mean           ∑x/n         Balance Point
                                                                 25
                                     Middle Value when
           Median    n + 1/2 Position                            20
                                          ordered
                                                                 15
           Mode          None          Most frequent
                                                                 10

                                                                 5
                                                                 0
                                                                        1     2      3     4      5






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