Frequency Distribution

Frequency Distribution

Frequency distribution in statistics shows how many times a certain value appears in a specific period of time or interval, either in a list, table, or visual representation. Frequency Distribution may be clustered or ungrouped. In order to be usable, data consists of a set of numbers or values that have been arranged.

Data

Data is everything that may be represented as a value or numerical number. Data includes numbers like your math test grades and the number of vehicles that cross a bridge each day. It's important to remember that data is just a compilation of data.

Raw data

Data that has not been transformed into another form is known as raw data. There is still a lot of unorganized data here. You'll receive raw data after the initial data collecting phase. Take, for example, asking a group of five friends about their preferred color. Green, Yellow, Blue, Orange, and Red may be the answers. The raw data consists of all of the information that was gathered. But whose favorite color is what has not been organized.

Graphs of Frequency Dispersion

A frequency distribution graph is a different method of presenting data in the form of graphs. Our understanding of the facts is much aided by the graphs. To visualize a frequency distribution, we can use the following form of graphs.

1. Pictograph:

A pictograph is an image-based representation of data. Utilizing symbols or images that are relevant to each data category, pictographs illustrate the frequency of data. Then creating a pictograph, consider utilizing symbols or pictures that are related to the data. Statistical data may be represented in a variety of ways, but this is one of the simplest. Also, deciphering a pictograph is easy. 

2. Bar Graphs: Bar graphs display data as a series of rectangular bars, each having a constant width and length.

3. Histograms: Data is represented graphically using rectangular bars of varying heights in a histogram. There is no white space between the rectangular bars in a histogram.

4. Pie Chart: A pie chart shows data in an easy-to-read circular format. In a circular fashion, it contains records. The pie-chart is then split into sectors to display a specific portion of the total amount of data.

5. Frequency Polygon: 

The midpoints of the bars in a histogram are joined to form a frequency polygon.

Frequency Distribution Types:

Under statistics, there are four different types of frequency distributions that are described below:

Ungrouped frequency distribution: 

There are no groupings of data values in the ungrouped frequency distribution. Thus, it displays the frequency of a single item in each data value.

Class interval frequency distribution: The data are grouped and divided into class intervals in class interval distribution type. A frequency distribution chart shows how often data from each class interval occur. The frequency distribution in class intervals is shown in the grouped frequency table.

Relative frequency distribution:

In a relative frequency distribution, it's possible to see how many observations fall into each of many categories.

Cumulative frequency distribution: 

This is a frequency distribution where all the frequencies below the first one are added together. To get to the end result, you must add one value to the next, then add the total to the previous value once more, and so on. Cumulative frequencies are added together until only one remain.

 

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