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A Math Song

Mean, median, mode
Mean, median, mode
Central tendency
Central tendency
The mean is the average of what you’ve got
The median’s the one in the middle spot
The mode is most frequent of the lot
The mean, median , mode
Mean, median, mode




                                             1
Using Bar Graphs to Represent Data




“There are three kinds of lies: lies, damned lies, and 
statistics.” 

                                    Benjamin Disraeli

                                                          2
Drawing an Unbiased Bar Graph:

a) Use at least 1/4 of your page of graph paper for your 
graph.
b)Begin the vertical axis at 0.
c) Make sure the maximum value on the vertical axis is 
slightly bigger than the maximum value of the data.
d) Draw each of your bars the same width.
e) Label the vertical and horizontal axis.
f) Give your graph a title.




                                                            3
4
For an Unbiased Graph make

    * the bars are of equal width
    * the vertical axis begins at zero
    * the maximum value on the vertical axis is slightly larger than the maximum data value



                                                                                              5
Exaggerating the Differences in Data

Mr. Hiram Sayles, the president of the Whatsit Widget Company, 
would like the increase in sales over the five years to appear as 
large as possible. To draw a graph so that the increase in sales is 
exaggerated,

     DO NOT CHANGE THE SIZE OF THE GRAPH.  JUST 
      CHANGE THE VALUES ON THE VERTICAL AXIS

*Minimum value close to the
     lowest number
*Maximum value at or close
     to the maximum
  




                                                                       6
7
Minimizing the difference

Ms. Ida Better, the president of the Better Widget Company, 
would like the increase in sales of the Whatsit Widget 
Company to look as small as possible. 

DO NOT CHANGE THE SIZE OF THE GRAPH.  JUST 
CHANGE THE VALUES ON THE VERTICAL AXIS
    * Minimum: 0
    * Maximum: much larger than
 the collected data 
      (4 or 5 times larger)
 




                                                               8
9
To display the data accurately:

    * begin the vertical axis at zero and end at a value just above the largest data value
    * draw the bars of equal width

To maximize the difference in data:

    * choose a vertical axis that begins just below the smallest data value and ends just above 
the largest data value
    * use a small vertical interval

To minimize the difference in data:

    * begin the vertical axis at 0 and end it at a value much larger than the largest data value
    * use a large vertical interval
                                                                                                   10
Assignment

Rules on Page 108

Page 110

Questions 1­3




                    11

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