In binomial distribution, the formula of calculating standard deviation is"
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SD of binomial distribution
sigma(¶)=√npq
where,
n= number of trials
p=probability of success
q=probability of failure equal to 1-p
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Standard Deviation of binomial distribution is sigma(¶)=√nPQ
Explanation:
What is standard deviation?
A standard deviation is a measure of how distributed the data is with respect to the mean. A low standard deviation suggests that data are grouped around the mean, whereas a large standard deviation shows that data are more dispersed.
∴ Standard Deviation =√nPQ where,
n: The number of trials in the binomial experiment.
P: The probability of success on an individual trial.
Q: The probability of failure on an individual trial. (This is equal to 1 - P.)
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