If
A1 = avg(x1, x2,…xn), A2 = avg(avg(x1, x2), avg(x2, x3)…, avg(xn-1, xn), avg(xn, x1), A3 = avg(avg(x1, x2, x3)), avg(x2, x3, x4)…, avg(xn-2, xn+1, xn), avg(xn-1, xn, x1), avg(xn, x1, x2)).
Which of the following is true?
Explanation:
A1 = (x1+x2+x3...+xn)n
A2 = avgx1+x22,x2+x32,...,xn+x12 = x1+x22,x2+x32,...,xn+x12n = 2(x1+x2+x3...+xn)2n = (x1+x2+x3...+xn)n
A3 = avgx1+x2+x33,x2+x3+x43,...,xn+x1+x23 = x1+x2+x33,x2+x3+x43,...,xn+x1+x23n = 3(x1+x2+x3...+xn)3n = (x1+x2+x3...+xn)n
A1 = A2 = A3
Hence, option (d).
» Your doubt will be displayed only after approval.
Help us build a Free and Comprehensive Preparation portal for various competitive exams by providing us your valuable feedback about Apti4All and how it can be improved.