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Question

Find the missing frequency (p) for the following distribution whose mean is 7.68
x: 3 5 7 9 11 13
f: 6 8 15 p 8 4


Solution

                                 Calculation of Mean
xi fi fi xi
3 6 18
5 8 40
7 15 105
9 p 9p
11 8 88
13 4 52
Total fi = 41 + p fixi = 303 + 9p

We have:

fi = 41+ p, ​ fixi = 303 +9p

∴ Mean =fixifi  

7.68 = 303 +9p41+p7.68 × (41 +p) =303 +9p314.88 + 7.68p = 303 +9p 314.88 -303 = 9p -7.68p11.88 = 1.32pp = 11.881.32  p =9.

Mathematics
RD Sharma (2014)
Standard VII

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