Frequency Distribution In Statistics

A frequency distribution is one of the most commonly used techniques in statistics

. It is a set of data showing the number of times a particular item appear usually represented by adjacent equal width bars. Each frequency bar is associated with a frequency indicating the number of measurements in that interval.

In other words, it is a graph or data set arranged to show the frequency of occurrence of the possible outcomes of a repeatable event observed many times. Simple examples are election returns and test scores listed by percentile.

The frequency distribution can be graphed as Histogram or Pie-Chart. For large data sets, the histogram is often approximated by the smooth curve called Bell curve or normal distribution.Histogram/ Bar Graph on Frequency Distribution in Statistics

A histogram is a display of statistical information which uses numerical values of different variables and are represented by length of rectangles of equal width. These rectangles can be drawn vertically or horizontally. The height of the rectangles is proportional to the frequency/relative frequency of that class. The advantage of histogram is:

Clearly shows the largest and smallest categories

Gives an immediate idea about the distribution of the data.

Pie Chart on Frequency Distribution in Statistics

A pie chart is a circular graph divided into sectors proportional to the angle or the area represented. The arc length of each sector is proportional to the quantity it represents. Adding all the arcs/sectors, we get a complete circle. This graph has been named as Pie for its resemblance to a pie which has been sliced.

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A pie chart gives an immediate visual idea of the relative sizes of the shares of a whole. It is a good method of representation to compare a part of a group with the whole group.

Normal Distribution of the Frequency Distribution in Statistics

When the data set is too large to represent it in the form of histogram/pie, the normal distribution or Gaussian distribution is preferred. It is a continuous probability distribution that gives description of data that cluster around the mean. The graph of normal distribution is bell-shaped, with a peak at the mean.The two tails extend indefinitely along the x-axis and never touch (asymptotic to the x-axis). A normal distribution can be represented by two parameters - mean and the standard deviation.

A regularity submission reveals us a described group of information separated into mutually unique sessions and the number of situations in a category. It is a way of displaying disorganized information e.g. to demonstrate outcomes of an selection, earnings of people for a certain area, revenue of a item within a certain period, education loans of graduate students, etc. Some of the maps that can be used with regularity withdrawals are histograms, line maps, bar maps and pie maps. Frequency withdrawals are used for both qualitative and quantitative information.

by:mathqa

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