State the Central Limit Theorem in one sentence.
easyAnswer
- For independent, identically distributed samples with finite mean mu and variance , the sampling distribution of the mean approaches a normal distribution as n grows, regardless of the underlying distribution.
Check yourself — multiple choice
- CLT says all data becomes normal
- CLT applies only to normal populations
- The sample mean of i.i.d. draws converges to a normal distribution
- CLT requires infinite variance
CLT is about the distribution of the sample mean, not of the raw data.
#clt#probability
Practise Statistics Fundamentals
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