Question

Some might argue that without the central limit theorem we really couldn't do much of what we try to do with statistics?

Answer 1

The Central Limit Theorem (CLT) is a fundamental concept in statistics. It states that if you take samples of sufficient size from a population, the distribution of sample means will be approximately normal, even if the distribution of the population is not normal. Without the CLT, many statistical analyses and inference procedures would not be possible as they heavily rely on the assumption of a normal distribution.

Step-by-step explanation:

The Central Limit Theorem (CLT) is a fundamental concept in statistics.

It states that if you take samples of sufficient size from a population, the distribution of sample means will be approximately normal, even if the distribution of the population is not normal.

Without the CLT, many statistical analyses and inference procedures would not be possible as they heavily rely on the assumption of a normal distribution.