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

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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?

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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

Concept: Concept of Median
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APPEARS IN

Selina Concise Maths Class 10 ICSE
Chapter 24 Measure of Central Tendency(Mean, Median, Quartiles and Mode)
Exercise 24 (A) | Q 10 | Page 356
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