If X is the arithmetic mean of n observations x,x.X, find the arithmet

1.	If X is the arithmetic mean of n observations x,x.X, find the arithmetic mean of ax, a...
Answer» Here sum of Observations = x1+ x2 + ....... + xnNo. of observations = n Mean = x bar , As the bar can't be represented here I am taking it as i.e. x bar = b, for better understanding, Now,b = (x1+ x2 + ......+ xn)/n=> bn = x1 + x2 + x3 + ..... + xnMultiple both the sides with a=> abn = ax1 + ax2 + ax3 + ..... + axn Now we got the value of ax1 + ax2 + ... + axn Now new mean or Required mean is, New mean = (ax1+ ax2 + ... + axn )/n=> New mean = abn/n=> New mean = ab Here b = x bar, As I said above , So the new mean = a * x bar

If X is the arithmetic mean of n observations x,x.X, find the arithmetic mean of ax, a...

Answer»

Here sum of Observations = x1+ x2 + ....... + xnNo. of observations = n

Mean = x bar , As the bar can't be represented here I am taking it as i.e. x bar = b, for better understanding,

Now,b = (x1+ x2 + ......+ xn)/n=> bn = x1 + x2 + x3 + ..... + xnMultiple both the sides with a=> abn = ax1 + ax2 + ax3 + ..... + axn

Now we got the value of ax1 + ax2 + ... + axn

Now new mean or Required mean is,

New mean = (ax1+ ax2 + ... + axn )/n=> New mean = abn/n=> New mean = ab

Here b = x bar, As I said above , So the new mean = a * x bar