jan4dday
let the numbers be a, b, c, d and e.
SD^2 = [(a-15)^2+ (b-15)^2+..... (e-15)^2] / 5 .. right?
this is = (a^2+ b^2+....+e^2) -30(a+b+c+d+e) + 225*5
= 135 -30(75) + 1125
= -990
when divided by 5 we get -198. the square root of which is abt 14
I am usually good at math but somewhere i have gone terribly wrong here. i cant seem to figure it out though
Thank you for trying this hard question. I noticed my secretary type 15 as the arithmetic but it should have been 3. Your approach is right and you will eventually get down to the right solution.
In general to solve this problems very quickly the key is to remember the following:
n * Var = (Sum of squares) - (2 * Mean * Sum ) + (n * Mean * Mean) - One you have the Var the Stdev can be calculated.
This is not any different to (a+b) * (a+b), also use to construct the correlation and covariance matrix of a distribution. I used lots of this in my PhD.