Teaching:TUW - UE InfoVis WS 2007/08 - Gruppe 07 - Aufgabe 1 - Histogram: Difference between revisions

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<b>Frequency Table</b>
<b>Frequency Table</b>
<table style="height:16px" border="1">
<table style="height:16px" border="1">
<tr>
<td>[[image:histogram_sample.jpg|thumb|200px|right|Histogram Illustration]]</td>
<td><table style="height:16px" border="1">
<th>class j</th>
<th>class j</th>
<th>absolute frequency n<sub>j</sub></th>
<th>absolute frequency n<sub>j</sub></th>
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<td>36</td>
<td>36</td>
<td>3</td>
<td>3</td>
<td>[[image:histogram_sample.jpg|thumb|200px|right|Histogram Illustration]]</td>
</tr>
</tr>
<tr>
<tr>
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<td>5</td>
<td>5</td>
</tr>
</tr>
</table></td>
<tr>
</table>
</table>



Revision as of 13:00, 2 November 2007

Definitions

In statistics, a histogram is a graphical display of tabulated frequencies. A histogram is the graphical version of a table that shows what proportion of cases fall into each of several or many specified categories. The histogram differs from a bar chart in that it is the area of the bar that denotes the value, not the height, a crucial distinction when the categories are not of uniform width (Lancaster, 1974). The categories are usually specified as non-overlapping intervals of some variable. The categories (bars) must be adjacent.
[Wikipedia, 2007]


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A histogram is used when we want to show frequencies of a continous variable. The continous variable can, of course, assume all values within an interval and the histogram reflects this by covering the whole of the interval concerned.
[Wallgreen et al., 1996]


Example

Frequency Table

Histogram Illustration
class j absolute frequency nj class interval w j
1 (=> 24 ≤ x ≤ 26 ) 36 3
2 (=> 26 < x ≤ 28 ) 37 2
3 (=> 28 < x ≤ 33 ) 17 5

Frequency density (height of a column) = n j / w j

Related Links

References

  • [Wikipedia, 2007] Wikipedia, Histogram. Retrieved at: November 01, 2007. http://en.wikipedia.org/wiki/Histogram
  • [Wallgreen et al., 1996] Anders Wallgreen, Britt Wallgreen, Rolf Persson, Ulf Jorner and Jan-Aage Haaland. Graphing Statistics & Data: Creating Better Charts. SAGE Publications, Thousand Oaks, London, New Delhi, 1996.