# Which of the following is the formula of number average molecular mass $\bar{M_N}$?

$\begin{array}{1 1}(a)\;\bar{M_n}=\large\frac{\sum N_iM_i}{\sum N_i}&(b)\; \bar{M_n}=\large\frac{\sum N_iM_i}{\sum M_i}\\(c)\;\bar{M_n}=\sum N_iM_i&(d)\;\bar{M_n}=\large\frac{\sum N_iM_i^2}{\sum M_i}\end{array}$

If $N_1,N_2,N_3.......$ are the number of molecules with molecular masses $M_1,M_2,M_3,.......$ respectively,then the number average molecular mass is :
$\bar{M_n}=\large\frac{\sum N_iM_i}{\sum N_i}$
Hence (a) is the correct answer.