Question

What are the characteristics of standard deviation ?

Answer 1

Answer:

Standard deviation is only used to measure spread or dispersion around the mean of a data set. Standard deviation is never negative. Standard deviation is sensitive to outliers. A single outlier can raise the standard deviation and in turn, distort the picture of spread.

Explanation:

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Answer 2

In Statistics,standard deviation is a measure of dispersion or spread of any data set or statistical distribution.

Explanation:

Key characteristics of standard deviation:-

• Standard deviation is the measurement or indicator of the dispersion or spread of the data/numbers/items in any particular data set or distribution.It is calculated by taking up the square root of the sum of the squared deviations of each item within any data set from its mean or average value divided by the total number of items within that particular data set.
• Since,standard deviation value is expressed as square root.It is never negative.
• Any outlier or extreme value or item in a data set or distribution can significantly affect the standard deviation value of that data set or distribution.
• If the value of all the items or numbers in a data set is identical including its mean or average,then standard deviation value of that data set would be 0.
• A higher value of standard deviation essentially implies greater dispersion or spread of any data set or distribution and vise versa.