Application of central limit theorem in real life
Answers
According to the central limit theorem if you repeatedly sample randomly from a population and for each sample compute an average value over that sample, the distribution of the averages is approximated by a normal distribution. The approximation is better if the sample is larger. It tells that the mean of the normal distribution which is approximated is equal to the true population average.
The central limit theorem is used in polls, surveys, clinical trials, randomized experiments, longitudinal studies and all kinds of empirical research.
For example, if we want to guess the results of an election we may take a poll and find that in our sample 58% of the people would vote for A instead of B. In order to know if this applies to the entire population we can conduct the sample poll again and again and guess who will win.