What is Standard deviation?

Standard deviation is defined as the measure of all data variation from its mean value or the positive square root of the variance X is known as standard deviation. It provides information about how much individual data points deviate from the mean value of the dataset.

Mathematically, the standard deviation (σ) is calculated using the following formula:

Standard deviation (σ) = √VAR(X)

Where:

Var(X) determines the variatnce of x.

Differences between Range and Standard Deviation

In statistics, Range and standard deviation provide insight into the spread or dispersion of data points within the data set. Range and standard deviation are both measures of variability in a dataset, but they differ in their calculation and interpretation.

The purpose of this article is to know the difference between range and standard deviation for the students offering clarity on calculations.

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What is Range?

Range is the difference between two extreme observations of the distribution or data. It provides a measure of the dispersion or spread of the data, indicating the extent to which the values vary from each other. If A and B are the greatest and smallest values observed respectively in a data, then its range is A-B....

What is Standard deviation?

Standard deviation is defined as the measure of all data variation from its mean value or the positive square root of the variance X is known as standard deviation. It provides information about how much individual data points deviate from the mean value of the dataset....

Difference between Range and Standard deviation

The key difference between range and standard deviation is given below:...

Solved Examples on Range and Standard Deviation

Example 1: Calculate the Range and standard deviation for the following dataset: 10,15,20,25,30....

Conclusion

Both range and standard deviation offer insights into data variability. While both the range and standard deviation provide measures of variability, the standard deviation is often preferred for its ability to capture the overall dispersion of data points around the mean....

FAQs on Range and Standard Deviation

How do I calculate Range and standard deviation?...

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