Central Limit Theorem

If

constitute an independent random sample of size

from an infinite population with mean

and variance

and also

exists then limiting form of

as

has standard normal distribution.

यस GeoGebra Applet मा slider (Sample Size) लाई n=5 देखी n=40 सम्म चलाएर यस पेजको अन्तमा दिइएको तिनवटा प्रश्नको उतर दिनुहोस । Drag the slider (Sample Size) here and three from n=5 to n=40 and answer the three questions given at the bottom of this page. Her

What is the mean of the population?

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What is the variance of the population?

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When you slide n (from n=5 to n=40), what relationship do you see between histogram and normal curve?

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When you slide n (from n=5 to n=40), what relationship do you see between and

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