Consider the following partially completed frequency table:

Class xi fi
[87; 97) 92 3
[97; 107) 102 5
[107; 117) 112 9
[117; 127) 122 11
[127; 137) 132 2


Determine the arithmetic mean.

133.3333


120


113.3333


138.3333

1 answer

The arithmetic mean can be calculated by multiplying each class midpoint (xi) by its corresponding frequency (fi), adding up all the products, and dividing by the total frequency.

(92*3 + 102*5 + 112*9 + 122*11 + 132*2) / (3 + 5 + 9 + 11 + 2) = (276 + 510 + 1008 + 1342 + 264) / 30 = 3400 / 30 = 113.3333

Therefore, the arithmetic mean is 113.3333.

Option C: 113.3333
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