1.) Calculate Q1 and Q3 for the following data:
X: 10 15 20 25 30 35 40
F : 2 6 8 7 5 10 9
2.) The mean wage of 20 male workers is 50 and that of female worker is 45.Find the combined mean.
3.) Determine the median value of the following series :
Wages : 100-200 200-300 300-400 400-500 500-600
Workers: 8 10 18 12 8
4.) Calculate the Arithematic Mean for the following data using step - deviation method:
Marks : 0-10 10 -20 20 -30 30-40 40 -50 50-60
No. of students: 2 12 14 10 12
5.) Find the missing values when Q3 = 35 N = 50
CL: 0-10 10-20 20-30 30-40 40-50
F: 5 15 - 12 -

2) Combined mean = X12 = X1N1 + X2N1 N1 + N2N1 = N2 = 20X1 = 50X2 = 45Combined mean = 50 ×20 + 45 ×2040 Combined mean = 47.5
3) 
Wages
(X)
Workers
(f)
cf
100 - 200 8 8
200 - 300 10 18
300 - 400 18 36
400 - 500 12 48
500 - 600 8 56
   = 56  

N2 = 562 = 28This corresponds to the class interval 300 - 400Median = L + N2 - cff × i= 300 + 28 - 1818 ×100= 300 + 55.5Median= 355.5
 
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