find the values of F1 and f2 of the frequency If mean equal to 21.4 and the total frequency is 40.
class interval /0-8/8-16/16-24/24-32/32-40
6/f1/10/f2/9
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Given find the values of F1 and f2 of the frequency If mean equal to 21.4 and the total frequency is 40.class interval /0-8/8-16/16-24/24-32/32-40
6/f1/10/f2/9
- Now given mean = 21.4 and total frequency = 40
- X1 f1 f1 x 1
- 0 – 8 4 6 24
- 8 – 16 12 f 1 12 f1
- 16 – 24 20 10 200
- 24 – 32 28 f2 28 f2
- 32 – 40 36 9 324
- So ∑ f1 = 25 + f1 + f2 ∑ f1 x 1 = 548 + 12 f1 + 28 f2
- Also ∑ f1 = 40
- Now 40 = 25 + f1 + f2
- Or f1 + f2 = 15 ----------1
- X bar = ∑ f1 x 1 / ∑ f1
- 21.4 = 548 + 12 f1 + 28 f2 / 40
- 548 + 12 f1 + 28 f2 = 856
- 12 f1 + 28 f2 = 856 – 548
- 12 f1 + 28 f2 = 308
- 12f1 + 12 f2 = 180 (multiplying eqn 1 by 12 and subtracting) we get
- 16 f2 = 128
- Or f2 = 128 / 16
- Or f2 = 8
- Now f1 = 15 – 8
- Or f1 = 7
- Therefore f 1 = 7 and f2 = 8
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