If every term of the statistical data consisting of $n$ terms is decreased by 2 , then the mean of t

Question

If every term of the statistical data consisting of $n$ terms is decreased by 2 , then the mean of the data :\

Professor PC Thomas Classes · Answer

(a):Let $x_{1}, x_{2}, \ldots ., x_{n}$ be $n$ terms of the statistical data, then \ Now, each term is decreased by 2 , we get\ New mean $=\frac{\left(x_{1}-2ight)+\left(x_{2}-2ight)+\ldots \ldots+\left(x_{n}-2ight)}{n}$\ $=\frac{x_{1}+x_{2}+\ldots \ldots+x_{n}-(2+2+2+\ldots \ldots n 	ext { times })}{n}$\ $=\bar{x}-\frac{2 n}{n}=\bar{x}-2$\ $	herefore \quad$ Mean of data is also decreases by 2 .\