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
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