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If the arithmetic mean of the following ...

If the arithmetic mean of the following series is `115.86,` find the missing value.
`{:("Wages(Rs.)",110,112,113,117,?,125,128,130),("Number of Workers",25,17,13,15,14,8,6,2):}`

Text Solution

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Let the missing value be X.

`barX=(sumfX)/(sumf)`
`115.86=(9,906+14X)/100`
`115.86xx100=9,906 +14X`
`14X=11,586-9,906`
`14X=1,680`
`X=(1,680)/14=120`
Missing Value = 120.
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