The average weight of the following frequency distribution is 117 Kg.
`{:("Weight(in kg)",:,100,110,120,W,140),("No. of person",:,1,4,2,2,1):}`

Explanation

Let us at first prepare the following table :

Average weigth `(barx)=(sum fx)/(sum f)=(920 +2W)/(10)`
here averge weight =117 kg (Given)
`therefore 117=(920+2W)/(10)` or , `920+2W=117` or `2W=1170-920`
or, `2W=250` , or `W=(250)/(2)` or W=125 `therefore W=125 Kg`