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Mean, median, modeMean, median, modeCentral tendencyCentral tendencyThe mean is the average of what you’ve gotThe median’s the one in the middle spotThe mode is most frequent of the lotThe mean, median , modeMean, median, mode
A Math Song
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Using Bar Graphs to Represent Data
“There are three kinds of lies: lies, damned lies, and statistics.”
Benjamin Disraeli
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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.
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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
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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
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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)
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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
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Assignment
Rules on Page 108
Page 110
Questions 13