An algebra problem by kunal gupta

Algebra Level pending

Arithmetic mean. of ''n" observations is m. If two observations 0 and mare added, then the new mean will . r ' be:

m(n+1)/n+2 m+n/2 m+1/n+2 m+1/n-1

1 solution

Alexandre Miquilino
Jan 24, 2015

Let $S$ be the sum of all elements of the sequence. Then $\frac{S}{n} = m$ . Adding two new elements, one with a value of zero and another with a value of m will give us a sum of (S + m) for a total of (n + 2) terms. We know that $S = mn$ , thus the new mean $S' = \frac{S + m}{n + 2} = \frac{mn + m}{n + 2} = \frac{m(n + 1)}{n + 2}$

An algebra problem by kunal gupta

1 solution

0 pending reports