The airthmetic mean of the following frequency distribution is 25. Determine the value of p ?
C.I. FI
0-10. 5
10-20. 18
20-30. 15
30-40. P
40-50. 6
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C.I FI XI FIXI
0-10 5 5 25
10-20 18 15 270
20-30 15 25 375
30-40 P 35 35P
40-50 6 45 270
€FI=44+P €FIXI=940+35P
Mean=€fixi/€fi
25=940+35p/44+p
By cross multiplying it,we get
1100+25p=940+35p
1100-940=35p-25p
160=10p
160/10=p
Therefore,the value of p=16 ans.
0-10 5 5 25
10-20 18 15 270
20-30 15 25 375
30-40 P 35 35P
40-50 6 45 270
€FI=44+P €FIXI=940+35P
Mean=€fixi/€fi
25=940+35p/44+p
By cross multiplying it,we get
1100+25p=940+35p
1100-940=35p-25p
160=10p
160/10=p
Therefore,the value of p=16 ans.
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