Question

Asked what the central limit theorem says, a student replies, As you take larger and larger samples from a population, the histogram of the sample values looks more and more Normal.

Is the student right?

A. No. The central limit theorem says nothing about the histogram of the sample values. It deals only with the distribution of the sample means.
B. Yes. This is exactly what the theorem says

Answer 1

A. No, the student is not right. The central limit theorem says nothing about the histogram of the sample values. It deals only with the distribution of the sample means.

Explanation:

No, the student is not right. The central limit theorem says nothing about the histogram of the sample values. It deals only with the distribution of the sample means. The central limit theorem says that if we take a large sample (i.e., a sample of size n > 30) of any distribution with finite mean
`\mu` and standard deviation
`\sigma`, then, the sample average is approximately normally distributed with mean
`\mu` and variance
`\sigma^2/n`.