The following table gives the wages of workers in a factory: WagesinRsNo.ofworkers45−50550−55855−603060−652565−701470−751275−806 Calculate the mean by the shorcut method. [4 MARKS]
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Solution
Formula: 2 Marks Solution: 2 Marks
Classintervalfixidi=xi−Afidi45−50547.5−15−7550−55852.5−10−8055−603057.5−5−15060−652562.5=A0065−701467.557070−751272.51012075−80677.51590∑fi=100∑fidi=−25 ∴ Mean (¯x)=A+h∑fidi∑fi =62.5+−25100=62.5−0.25=62.25