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Solution - From the Data Given Below . Calculate the Mean Wage, Correct to the Nnearst Rupee. - ICSE Class 10 - Mathematics

Question

From the data given below . calculate the mean wage, correct to the nnearst rupee. 

 

category  A B C D E F
 Wages (Rs,day)(x) 50 60 70 80 90 100
no.of workers 2 4 8 12 10 6

(1) If the number of workers in each category is doubled, , what would be the new mean wage? 

(2) If the wages per day in each category are incresed  by 60% what is the new mean wages? 

(3) If the number of workers in each caategory is doubled is and the wages per day worker are reduced by 40%, what would be the new mean wage?

Solution

Wages (Rs/day) (x)  No.of Workers (f)  fx
50 2 100
60 4 240
70 8 560
80 12 960
90 10 900
100 6 600
Total  42 3360

`barx=(Σ fx)/(∑ f) =3360/42=80`  

(1) Mean remains the same if the number  of workers in each category is doubled 

Mean =80 

(2) Mean will be inceased by  60% if the wages per day worker is  increased by 60% 

New mean =`80xx160/100=128` 

(3) No change in the mean if the number of workers is doubled but if wages per workes  is reduced by 40%, then 

New mean=`80xx60/100=48` 

  Is there an error in this question or solution?

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Solution for question: From the Data Given Below . Calculate the Mean Wage, Correct to the Nnearst Rupee. concept: Measures of Central Tendency - Mean, Median, Mode for Raw and Arrayed Data. For the course ICSE
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