Question

In the limit of a very large number of measurements of NO₂concentration in the air, would the probability distribution of the measured values approach a Gaussian distribution, as per the central limit theorem? Why or why not?

Answer 1

Let us first understand what is central limit theorem

The central limit theorem tells us exactly what the shape of the distribution of means will be when we draw repeated samples from a given population. Specifically, as the sample sizes get larger, the distribution of sample statistics calculated from repeated sampling will approach normality.

As it is given that a very large number of measurements of NO₂concentration in the air, so as per central limit theorem probability distribution of the measured values approach a Gaussian (i.e. Normal) distribution.