How to find the variance of the sample mean, given the population mean, standard deviation and sample size

Question

Problem Statement : Given a sample of size n = 60 taken from a continuous population distribution with mean 56 and standard deviation 25, find the variance of the sample mean.

I tried the below code but as expected, there is no fixed answer. And my answer is shown incorrect.

dist = scipy.stats.norm(loc=56, scale=25)
sample = dist.rvs(60)
x = np.var(sample)

The formula is `σ2 / N`. So the result will be `math.pow(25, 2)/60) ` i.e `10.416666666666666` . — Arijit Panda, Aug 30 '21 at 01:44

score 1 · Answer 1 · edited Aug 22 '21 at 16:58

1

Err = math.sqrt(25/60)
dist = scipy.stats.norm(loc=56, scale=Err)
Variance = np.variance(dist)

Its something around 10.52

edited Aug 22 '21 at 16:58

Sven Eberth

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answered Aug 22 '21 at 16:52

sriram reddy

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Please add some explanation. – Arijit Panda Aug 30 '21 at 01:41

How to find the variance of the sample mean, given the population mean, standard deviation and sample size

1 Answers1