# Q.1 Calculate arithmetic mean of the following data :profit (in rs) : 0-10 10-2020-30 30-40 40-50 50-60no of shops : 1218 27 20 17 16Q.2. A candidate obtains 46% marks in english , 67% in mathematics , 50% in hindi 72% in history and 58% in economics . it is agreed to give triple weight to marks in english and double weight to marks in mathematics as compared to other subjects . calculate weighted mean . Also compare it with simple arithmetic mean .Q.3. Calculate combined mean :section mean marks no. of studentsA 75 50B 60 60C 55 50

Ans. 2) Let the weight of other three subjects (i.e. Hindi, History and Economics) be 10. Therefore, weight for English is 30 (3×10) and weight for Mathematics (2×10).

 Subject Marks(X) Weight(W) WX English 46 30 1380 Mathematics 67 20 1340 Hindi 50 10 500 History 72 10 720 Economics 58 10 580 ΣW = 80 ΣWX= 4520 Thus, the weighted mean of the marks is 56.5

Ans. 3)

 Section Mean Marks Number of Students(N) A  B  C  Combined Arithmetic Mean Thus, combined mean marks is 63.2

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