Question

d) If the average of
xxn
is x then the average of ax, arz,
axz,. .. , axn is
i) x ii) ax ili nx iv)none of
these​

Answer 1

Answer:We have,

M=  

n

x  

1

​  

+x  

2

​  

+...+x  

n

​  

 

​  

 

⇒x  

1

​  

+x  

2

​  

+...+x  

n−1

​  

+x  

n

​  

=nM

⇒x  

1

​  

+x  

2

​  

+...+x  

n−1

​  

=nM−x  

n

​  

 

Let M  

′

 be the average of x  

1

​  

,x  

2

​  

,...,x  

n−1

​  

,x  

′

. Then

M  

′

=  

n

x  

1

​  

+x  

2

​  

+...+x  

n−1

​  

+x  

′

 

​  

⇒ M  

′

=  

n

nM−x  

n

​  

+x  

′

 

​