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Mean_ Median_ Mode and Range

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					         Math 7 Directions:
1.   Find your new seat using the seating chart
     found on the board.

2.   Clean out your binder:
        You may RECYCLE any materials from Module 1,
         2, 3, and 4!

        All that should be left in your binder should be
         binder tabs for Module 5, 6, and 7.

        Stay organized!
    Mean, Median, Mode and
    Range

We are learning to…analyze how adding another piece
of data can affect the measures of center and spread.

             Saturday, August 04, 2012
Class Record Chart for Head Circumference Size
(to the nearest centimeter)
Organize this data in a:
 Stem and Leaf Plot




                      Key:
    Mean
   Mean:

       A measure of center, also known as
        average.

       Mean is the sum of a set of data
        divided by the number of data
        items.
        Median
   Median:

       A measure of center, that tells the middle number
        in a set of data.

       If there is no single middle item, the number
        halfway between the two data items closest to the
        middle is the median.

           Basically…just find the mean of the two middle
            numbers.
        Mode
   Mode:

       A measure of center for a set of data that tells the
        item(s) that appear most often in data set.

       There can be no mode.

       There can also be more than one mode
        Range
   Range:
       A measure of spread.

       The difference (subtraction) between the
        greatest data value and least value in a data set.
Analyzing Measures of Center

   Which MEASURE OF CENTER
    (mean, median, or mode) best
    represents our data? Explain your
    reasoning below in complete
    sentences.
How do Outliers Data
Measurements?
   Predict: What if someone with a head
    circumference of 100 cm came into our
    class. How would this affect our data?
       How would this change the mean?
       How would this change the mode?
       How would this change the median?
       How would this change the range?
   Discussion Question:
       Which data measurement would be most
        affected by the addition of the outlier? WHY?
     Which of the following statements is true about the
     data displayed in the Stem-and-Leaf Plot below?
            0      5   8   9
            1      2   4   5 7 9
            2      4   8   8 8            Key:                                                     19
            3      0   0   3        1     7 = 17


A.   The mode for the set of data is 30.
                                                                                       5
B.   The median for the set of data is 24.
                                                                                                                2
                                                                      0
C.   The mean for the set of data is 20.




                                                                 .




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     The range of the set of data is 3.




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Mr. Cain has recorded the scores on his latest test in the stem and leaf
plot below. He needs to report his test scores to Mrs. Green using a
measure of center. Which of the following measurements should Mr. Cain
use if he wants to report the highest measurement?
                                                           14
        5
        6       5   5   5   5
                                                                       10
        7       0   7
        8       4   8
        9       1   6                     Key:
        10      0   0   0             1   7 = 17                                  2
A.    Mean                                                                                    1
B.    Median




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      They are all the same!




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