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
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