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The mean of the series $x_{1}, x_{2}, \dots, x_{n} is \bar{X} . If x_{2}$ is replaced by $λ,$ then the new mean is

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X¯−x2+λ

X¯−x2−λn

(n−1)X¯+λn

nX-x2+λn

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detailed solution

Correct option is D

We have,X¯=x1+x2+…+xn−1+xnn⇒ nX¯=x1+x2+…+xn−1+xnnew mean=nX-x2+λn

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Variate x	1	2	3	4	5
Frequency f of x	4	5	y	1	2

The mean of the series x1,x2,…,xn is X¯. If x2 is replaced by λ, then the new mean is

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The mean of the series $x_{1}, x_{2}, \dots, x_{n} is \bar{X} . If x_{2}$ is replaced by $λ,$ then the new mean is