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Question

The following distribution shows the daily pocket allowance of children of a locality . The mean pocket allowance is Rs.18. Find the missing frequency f ?
Dally pocket allowance (in Rs) 1113131515171719192121232325
Number of children 76913f5
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Solution

Dailypocketallowance(inRs.)Midvalue
xi
No.ofchildren
fi
fixi
1113 12 7 84
1315 14 6 84
1517 16 9 144
1719 18 13 234
1921 20 f20f
2123 22 5 110
2325 24 4 96
fi=44+f fixi
=752+20f
¯¯¯x=18 [ Given ]
¯¯¯x=fixifi

18=752+20f44+f

18=2(376+10f)44+f

9=376+10f44+f
396+9f=376+10f
f=20

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