frequency distribution
The systematic arrangement of scores on a measure to reflect how frequently each value on the measure occurred.
A frequency distribution is a statistical representation of the data that shows the number of times each value occurs in the data set. It is a way to summarize and organize a large amount of data so that it can be easily analyzed and understood. The frequency distribution shows the frequencies or count of each different value of a variable. For example, if you have collected data on the ages of a group of people, a frequency distribution would show the number of times each age appears in the data set.
There are two types of frequency distribution: grouped and ungrouped. In an ungrouped frequency distribution, data is presented in raw form, with each value presented only once, and its frequency equals one (or zero if the value never occurs). In a grouped frequency distribution, the data is divided into intervals, or classes, and the number of values that fall within each interval is counted.
The frequency distribution can be presented in various forms, such as a table, histogram, or frequency polygon. A frequency table lists each value of the variable along with its frequency. A histogram uses bars to represent the frequency of each value or interval. The frequency polygon is a curve that connects the midpoints of the tops of the bars in a histogram.
Overall, the frequency distribution is an important tool in statistical analysis as it helps to summarize, organize and present the data in a clear and meaningful way.
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