Class xi fi

Question

[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

Answer 1

To determine the arithmetic mean, we first need to calculate the total of all fi values multiplied by their respective class midpoint xi.

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

Then, we divide this total by the sum of all fi values:
3400 / (3 + 5 + 9 + 11 + 2) = 3400 / 30 = 113.3333

Therefore, the arithmetic mean is 113.3333.

So the correct answer is:
113.3333