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What is the most important distribution in the galaxy and is widely used in all kinds of statistical inference?

The Gaussian distribution is the single most important distribution.


What is sample distribution?

Theoretically, it is the distribution of a statistic based on all possible samples of a given size. In practice, it may be the distribution under repeated samples.


What does the mean have to do with a normal distribution?

Almost all statistical distribution have a mean. It is the expected value of the random variable which is distributed according to that function.


What graphical representation of a frequency distribution shows adjoined vertical rectangles drawn on the horizontal axis with the centers of the bases located at the class marks?

The graphical representation you are describing is known as a histogram. In a histogram, the vertical rectangles (or bars) represent the frequency of data within specific intervals (or bins), and the centers of the bases of these rectangles align with the class marks of the data. The height of each rectangle corresponds to the frequency of observations within each class interval, visually illustrating the distribution of the dataset.


What is abnormal distribution?

A standard distribution regards 95% of all data being within 2-standard deviations of either side. Similarly, within one standard deviation either way is 68% of all data. This creates a bell curve distribution. An abnormal distribution would be erratic and not follow such a statistical structure of representation.