Question

If the mean of n observation 2x1,2x2,_____,2xn is 2xxxx,show that summation FX (xi-2x)=0

Answer 1

∑ (xi  - 2x)  = 0 if If the mean of n observation 2x1,2x2,_____,2xn is 2x

Step-by-step explanation:

the mean of n observation 2x1,2x2,_____,2xn is 2x

∑ (xi  - 2x)

= (2x1 - 2x)  + (2x2 - 2x)  + ....................................+(2xn - 2x)

= (2x1 + 2x2 +..........................+ 2xn) - n(2x)

2x is the mean of  n observation 2x1,2x2,_____,2xn

=> 2x = (2x1 + 2x2 +.............................+ 2xn)/n

=> 2x1 + 2x2 +.............................+ 2xn = 2nx

∑ (xi  - 2x)  = 2nx - 2nx

=>  ∑ (xi  - 2x)  = 0

Learn more:

the mean of 11 numbers is 42 if the mean of the first six number is 37 ...

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Answer 2

Step-by-step explanation:

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