Q.1 Calculate arithmetic mean of the following data :
profit (in rs) : 010 10202030 3040 4050 5060
no of shops : 1218 27 20 17 16
Q.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 students
A 75 50
B 60 60
C 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
Due to paucity of time we providing solutions to only two of your question. Try solving the remain question yourself and in case of any difficulty do get back to us.