# What does a Statistical Distribution tells us?

Distribution is a asymptotic version of continuous frequencies plotted against its classes.

• Distribution tells us where the mean is and how the individual observations are scattered around the mean.
• Distribution with a high peak at its center (mean) will suggest that the density of the observations are rising when the we are nearer to the mean.
• The more the density of the observations far from the mean, the more the variance in the data.
• Distribution are more flat with lower peak  at center when they have higher variance.
• With high number of observations discrete distributions start to resemble continuous distributions.
• It can be used to compare nature of two or more different data sets.
• Chebyshev’s theorem specifies that there are certain proportion of data which is covered when we create boundaries from mean using its standard deviation.

1 -(1/k^2)

is the method to find how many percent observations will be covered in the range when k standardized deviations are added and subtracted.

The application of distribution study very admirable, many production processes utilize this concept in their quality testing and analyzing the total production quality.