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Statistics

• Mean of data sets

Mean or average of a data is given by the formula,

Mean =

Note:

• Mean always lies between the highest and lowest observations of the data.
• It is not necessary that mean is any one of the observations of the data.

1. If the mean of n observations ${x}_{1},{x}_{2},{x}_{3}....{x}_{n}$ is $\overline{x}$ then $\left({x}_{1}-\overline{x}\right)+\left({x}_{2}-\overline{x}\right)+\left({x}_{3}-\overline{x}\right)+...+\left({x}_{n}-\overline{x}\right)=0$.
2. If the mean of n observations ${x}_{1},{\mathrm{x\dots }}_{}$

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