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Question 21 of 39

Q.The standard error of sample mean is :

(a) σn\frac{\sigma}{\sqrt{n}}
(b) σ2n\frac{\sigma}{\sqrt{2n}}
(c) σ2n\frac{\sigma^2}{\sqrt{n}}
(d) σn\frac{\sigma}{n}
Puducherry TnboardTamil Nadu HSC (DGE) Commerce Board 2022MCQ· 1mImportance★★★★★
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S.E.(xˉ)=σnS.E.(\bar{x}) = \dfrac{\sigma}{\sqrt{n}}.

If a population has standard deviation σ\sigma and samples of size nn are drawn, the sample means xˉ\bar{x} vary around the population mean. Their standard deviation — the standard error of the mean — is

S.E.(xˉ)=σn.S.E.(\bar{x}) = \frac{\sigma}{\sqrt{n}}.

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