# Frequency Table

A frequency table is a Table of the Frequency Values for each Member of a Multiset.

**AKA:**Frequency Distribution, Frequency Diagram.**Context:**- It can be represented with a Histogram.
- It can be an Ordered Frequency Table or an Unordered Frequency Table.
- It can range from being an Absolute Frequency Table to being a Relative Frequency Table.

**Example(s):**- an Absolute Frequency Table, such as [math]\{(a,2), (b,1)\}[/math], for multiset {a, b, a}.
- a Relative Frequency Table, such as [math]\{(a,\frac{2}{3}), (b,\frac{1}{3})\}[/math], for multiset {a, b, a}.
- a Word Frequency List.

**Counter-Example(s):****See:**Frequency Function, Two-Way Table.

## References

### 2009

- (Wikipedia, 2009) ⇒ http://en.wikipedia.org/wiki/Frequency_distribution
- In statistics, a
**frequency distribution**is a tabulation of the values that one or more variables take in a sample.A

**Frequency Distribution**shows us a summarized grouping of data divided into mutually exclusive classes and the number of occurrences in a class. It is a way of showing unorganized data e.g. to show results of an election, income of people for a certain region, sales of a product within a certain period, student loan amounts of graduates, etc. Some of the graphs that can be used with frequency distributions are histograms, line graphs, bar charts and pie charts. Frequency distributions are used for both qualitative and quantitative data. - Bivariate joint frequency distributions are often presented as
**two-way tables**: - The
*total*row and*total*column report the**marginal frequencies**or marginal distribution, while the body of the table reports the**joint frequencies**.

- In statistics, a

- http://mathworld.wolfram.com/FrequencyDistribution.html
- Frequency Distribution: The tabulation of raw data obtained by dividing it into classes of some size and computing the number of data elements (or their fraction out of the total) falling within each pair of class boundaries. The following table shows the frequency distribution of the data set illustrated by the histogram below.

### 2007

- http://www.sasked.gov.sk.ca/docs/midlmath/glossary.html
**frequency diagram**: used in statistics as a method of recording the data collected. A tally is often used in the frequency diagram to keep track of the number of times something occurs.

### 2004

- http://www.mathsteacher.com.au/year8/ch17_stat/03_freq/freq.htm
- The frequency of a particular data value is the number of times the data value occurs. For example, if four students have a score of 80 in mathematics, and then the score of 80 is said to have a frequency of 4. The frequency of a data value is often represented by f.
- A frequency table is constructed by arranging collected data values in ascending order of magnitude with their corresponding frequencies.

### 2000

- Math.com. (2000). “Glossary, http://www.math.com/school/glossary/defs/frequency_table.html
- frequency table: A data listing which also lists the frequencies of the data.