The arithmetic mean of the following numbers 1, 2, 2, 3, 3, 3, 4, 4, 4, 4, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6 and 7, 7, 7, 7, 7, 7, 7 is
Options:
A . 14
B . 20
C . 5
D . 4
Answer: Option C Answer: (c)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 frequenciesRequired mean= ${1×1+2×2+3×3+4×4+5×5+6×6+7×7}/{1+2+3+4+5+6+7}$= ${1+4+9+16+25+36+49}/28$= $140/28$ = 5
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