mean is 18. C.I 11-13,13-15,15-17,17-19,19-21,21-23,23-25 and F.I is 7,6,9,13,f,5,4 find the value of f
Answers
Step-by-step explanation:
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The value of f can be calculated as follows:
C.I F.I Xi Di = Xi - 18 F.I * Di
11 - 13 7 12 -6 -42
13 - 15 6 14 -4 -24
15 - 17 9 16 -2 -18
17 - 19 13 18 0 0
19 - 21 f 20 2 2f
21 - 23 5 22 4 20
23 - 25 4 24 6 24
∑F.I = 44 + f ∑F.I * Di = 2f - 40
- Let us consider that mean is represented by m.
- Therefore, m = 18 (as per the question)
- Also, m = a + ( ∑F.I * Di / ∑F.I )
18 = 18 + [ (2f - 40) / (44 + f) ]
0 = 2f - 40
2f = 40
f = 20