Range is explained as difference between maximum and minimum observation of given data. If X_m denotes maximum observation X_o that denotes minimum observation then this range is defined as:

Range = X_m –X₀

For grouped data, the range is known as difference between upper boundary of highest class and also lower boundary of lowest class. It also helps to calculate by making use of difference between mid points of highest class and lowest class. It is called as simplest measure of dispersion.

It offers general idea about complete spread of observations. Application and utility in quality control method can also be used to maintain any quality of products.

Applications of range

The range can also be an effective way to get through basic understanding of how to spread out the data. This is quite easy to calculate as it needs only basic arithmetic operation. There is also availability of other application of range.

Through range it is possible to estimate any other measure of spread, standard deviation. A complicated formula helps to find standard deviation which is called range rule.

We may define range to eliminate any outliers and also extreme points in data set. In inter-quartile range in statistics can be defined as difference between third and first quartiles.

Links of Previous Main Topic:-

• Introduction to statistics
• Knowledge of central tendency or location
• Definition of dispersion
• Standard deviation
• Mean deviation
• Quartile deviation

Links of Next Statistics Topics:-

• Moments
• Bivariate distribution
• Theorem of total probability addition theorem
• Random variable
• Binomial distribution
• What is sampling
• Estimation
• Statistical hypothesis and related terms
• Analysis of variance introduction
• Definition of stochastic process
• Introduction operations research
• Introduction and mathematical formulation in transportation problems
• Introduction and mathematical formulation
• Queuing theory introduction
• Inventory control introduction
• Simulation introduction
• Time calculations in network
• Introduction of game theory

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