Frequency Distribution
Frequency Distribution - Related Videos
00:51
What is a Frequency Distribution
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2023
A frequency is the number of times a value of the data occurs. The sum of all the frequency values represents the total number of students included in the sample. It is commonly used to group data of quantitative types. Frequency distributions can be displayed in a table, histogram, line graph, dot plot, or pie chart, just to name a few. A histogram is a graphical representation of tabulated frequencies, shown as adjacent rectangles, erected over discrete intervals (bins), with an area equal to...
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Mean From a Frequency Distribution
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2023
Sometimes, data gathered from an experiment on a large sample or population are organized into concise tables. In such cases, the frequency of the quantitative data set is plotted in the form of a table. Or else, the data values are grouped into the quantity’s intervals, which form classes, and their respective frequencies are known. That is, the data values are distributed over different categories or classes. This is known as frequency distribution. When such a data set is encountered, the...
00:55
Relative Frequency Distribution
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2023
A relative frequency distribution is the proportion or fraction of times a value occurs in a data set. To find the relative frequencies, one can divide each frequency by the total number of data points in the sample. It is very similar to a regular frequency distribution, except that instead of reporting how many data values fall in a class, a relative frequency distribution reports the fraction of data values that fall in a class. These fractions or proportions are called relative frequencies...
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Cumulative Frequency Distribution
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2023
A cumulative frequency distribution is another type of frequency distribution. Instead of reporting how many data values fall in some classes, it reports how many data values are contained in either that class or any class to its left. Technically, it means the sum of frequencies of the class and all the classes below it in a frequency distribution. A cumulative frequency is calculated by adding the frequency of each class lower than the corresponding class interval or category. In general, a...
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Construction of Frequency Distribution
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2023
A frequency distribution table can be constructed using the steps given below. First, make a table with two columns—one with the title of the data that needs to be organized, and the other column for frequency. [Draw a third column for tally marks if needed]. Then, take a look at the items given in the data set and decide if an ungrouped frequency distribution table or a grouped frequency distribution table would be more suitable. If there are large sets of different values, then it is best to...
FAQs
Categories or class intervals must be mutually exclusive so that each observation contributes to only one frequency. This rule prevents double counting and makes totals interpretable. For numerical psychological data, grouping values into ranges can reveal where observations concentrate and whether the pattern appears uneven, while preserving a structured summary that can be compared across datasets.
Relative and cumulative frequencies answer different comparison needs. Relative frequency expresses each count in relation to the dataset, helping compare categories or samples of different sizes. Cumulative frequency progressively adds counts across ordered values or intervals, showing how many observations fall at or below a point. In psychology, these views can clarify score distributions and response patterns.
Shape becomes easier to inspect when the tabulation is represented graphically. A histogram can make concentration, spread, and skewness visible in measurements such as reaction times or test scores. These visual patterns do not replace analysis, but they support data screening by drawing attention to the overall distribution and can help researchers formulate appropriate questions or hypotheses.
To build a useful table, researchers first identify the observations to summarize, then select categories or class intervals that cover the possible values without overlap. They tally each observation, report frequencies, and, when comparison is needed, add relative or cumulative frequencies. The resulting table can then serve as the basis for a histogram or another related graph.
For categorical psychological information, such as demographic characteristics or survey responses, separate categories allow researchers to compare how commonly each response occurs. For measured outcomes, including symptom ratings, reaction times, and test scores, intervals can organize many distinct values. The choice between individual categories and ranges therefore depends on the form and level of detail in the data.
Frequency distributions support several stages of behavioral research beyond initial description. The organized pattern can aid data screening and communication of findings, while visible concentration or skewness may support hypothesis formulation. Tables and graphs also give behavioral researchers a concise way to present results, allowing readers to inspect the reported pattern rather than relying only on isolated scores or responses.