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

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<b>Frequency Table (Salary of Employees): </b>
<b>Frequency Table (Salary of Employees): </b>
{| border = 2 class="wikitable" style="text-align:center"
{| border = 2 class="wikitable" style="text-align:center"
!class j !! Salary x <sub> i !! absolute frequency n <sub> j!! relative frequency !! class width w <sub> j
!class j !! Salary x <sub> i !! absolute frequency n <sub> j!!class width w <sub> j
|-
|-
|  1 ||  800 ≤ x < 1000 || 150 || 0,25 ||  200
|  1 ||  800 ≤ x < 1000 || 150 ||  200
|-
|-
|  2 || 1000 < x < 2000 || 150 || 0,25 || 1000
|  2 || 1000 < x < 2000 || 150 || 1000
|-
|-
|  3 || 2000 ≤ x ≤ 3500|| 300 || 0,50 || 1500
|  3 || 2000 ≤ x ≤ 3500|| 300 || 1500
|-
|-
|  || ||<b>Σ 600</b> || <b>Σ 1,00</b> ||
|  || ||<b>Σ 600</b> ||
|}<br />
|}<br />
<b>Frequency density</b> (height of a column) = n <sub> j </sub> / w <sub> j </sub>
<b>Frequency density</b> (height of a column) = n <sub> j </sub> / w <sub> j </sub>

Revision as of 18:21, 1 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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Example

Frequency Table (Salary of Employees):

class j Salary x i absolute frequency n j class width w j
1 800 ≤ x < 1000 150 200
2 1000 < x < 2000 150 1000
3 2000 ≤ x ≤ 3500 300 1500
Σ 600


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

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References

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