the mean of 15 numbers is 27 .if each number is multiplied by 4,what will be the mean of the new number
Given, mean of 15 numbers =27
Let the15 numbers be, x1, x2, x3, ....., x15.
=x1, x2, x3, ....., x 1 5 /15 = 27
= x1, x2, x3, ....., x15 = 27*15=405 ... eqn 1
Now when each number is multiplied by 4, then new set of 15 numbers is: So, new mean =
x1*4, x2*4, x3*4, ....., x15*4 /15= 4*(x1, x2, x3, ....., x15 )/15 = 4*27 = 108[using eqn 1]
Hence, new mean = 108 ans .