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What is standered Deviation?
What is Relative standered Deviation?
What is the difference between them?
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Answers
Answer:
Explanation:
Standard deviation is a measure of dispersion. It tells about the spread of a data set.
It can be described as root mean squared deviation, signifying the way it is calculated.
Step-by-step method for calculating standard deviation
(1) Find out the mean of the data set
(2) Subtract this mean from each data point to find out deviation from mean. It could be either positive or negative.
(3) Square up these deviations to find out squared deviation. Naturally, squared deviations will be all positive.
(4) Find out mean of squared deviations.This is called variance.
(5) Find out square root of variance. That's standard deviation.
Relative standard deviation is also called percentage relative standard deviation formula, is the deviation measurement that tells us how the different numbers in a particular data set are scattered around the mean.
This formula shows the spread of data in percentage.
Difference
We write average as 10±2. The 2 here is the standard deviation. If you want to write it as relative standard deviation, then it will be 10±20% because 2 is 20% of 10, the average.