1.

Assertion (A): If the mean of x, y, z is y, then x + z = 2y.Reason (R): Arithmetic mean of ‘n’ observations x1 , x2 , x3, ...... , xn  is  1) ‘A’ is true but ‘R’ is false 2) ‘A’ is false but ‘R’ is true 3) Both ‘A’ and ‘R’ are true and ‘R’ is the correct explanation of ‘A’. 4) Both ‘A’ and ‘R’ are true but ‘R’ is not a correct explanation of ‘A’.

Answer»

3) Both ‘A’ and ‘R’ are true and ‘R’ is the correct explanation of ‘A’. 

\(\cfrac{x+y+3}{3}=y⇒ x + 3=2y\)



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