If the Mean of following data is 1.46. Find value of f1 and f2.
x 0 1 2 3 4 5 Total
f 46 f1 f2 25 10 5 200

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Solution

$\sum f_{i} = 46 + f_{1} + f_{2} + 25 + 10 + 5 = 200 f_{1} + f_{2} = 200 - 86 = 114 \sum x_{i} f_{i} = 0 + f_{1} + 2 f_{2} + 75 + 40 + 25 = 140 + f_{1} + 2 f_{2} 140 + 114 + f_{2} = 254 + f_{2} ¯ x = \frac{254 + f_{2}}{200} = 1.46 254 + f_{2} = 292 f_{2} = 292 - 254 = 38 f_{1} = 114 - 38 = 76$

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