Observation data meet the assumptions of the central limit theorem

he distribution of the data from the calculation of descriptive statistics can only be approximated. Assuming the observation data meet the assumptions of the central limit theorem, we can approximate the distribution of the data set. Since the sum of the variables observed has a finite variance, we can conclude the data is approximately normally distributed. From the descriptive statistics, it is hard to comment on the distribution conclusively without plotting the graphs for the data set. Distribution entails how the observations are dispersed on both sides of the mean, the right and left sides.

Clearly, from the histogram graph, it is easier to observe that data is not evenly distributed about the mean, it is slightly skewed to the right. It also shows there is moderate dispersion from the mean on the numbers of customers.

Clearly, from the histogram graph, it is easier to observe that data is evenly distributed about the mean. It also shows there is even dispersion from the mean of sale per customer. The observed data can therefore be taken to be approximately normal.