The population of 50 villages in a state is given below:
`{:("Population","Number of villages"),(" "6000," "8),(" "7000," "10),(" "9000," "12),(" "10000," "5),(" "11000," "7),(" "13000," "6),(" "15000," "2),(" ""Total"," "50):}`
Find the mean population of the villages of the state.

Explanation

The mean `bar(x)` is given by
`bar(x)=((6000 xx 8)+(7000 xx 10)+(9000 xx 12)+(10000 xx 5)+(11000 xx 7)+(13000 xx 6)+(15000 xx 2))/(8+10+12+5+7+6+2)`
`=(461000)/(50)`
`bar(x) = 9220`.
That is, the mean population of the villages is 9220.