Teaching:TUW - UE InfoVis WS 2007/08 - Gruppe 07 - Aufgabe 1 - Histogram
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]
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 (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
Related Links
References
- [Wikipedia, 2007] Wikipedia, Histogram. Retrieved at: November 01, 2007. http://en.wikipedia.org/wiki/Histogram