The average income of 40 persons is Rs. 4200 and that of another 35 persons is Rs. 4000. The average income of the whole group is :
Options:
A . Rs.4106$2/3$
B . Rs.4108$1/3$
C . Rs.4106$1/3$
D . Rs.4100
Answer: Option A Answer: (a)Using Rule 2, If the given observations (x) are occuring with certain frequency (A) then,$Average = {A_1x_1+A_2x_2+...............+A_nx_n}/{x_1+x_2+......+x_n}$where, $A_1, A_2, A_3, .......... A_n$ are frequenciesAverage income of whole group= ${4200×40+4000×35}/75$= ${168000+140000}/75$= $308000/75$ =Rs. 4106$2/3$
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