Average
- Total weekly emoluments of the workers of a factory is ₹ 1534. Average weekly emolument of a worker is ₹ 118. The number of workers in the factory is :
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Here , Average weekly emolument of a worker = ₹ 118
Total weekly emoluments of the workers = ₹ 1534
As we know that ,Number of workers in the factory = Total weekly emoluments of the workers Average weekly emolument of a worker
Correct Option: C
Here , Average weekly emolument of a worker = ₹ 118
Total weekly emoluments of the workers = ₹ 1534
As we know that ,Number of workers in the factory = Total weekly emoluments of the workers Average weekly emolument of a worker Number of workers in the factory = 1534 = 13 118
- The average marks of 32 boys of section A of class X is 60 whereas the average marks of 40 boys of section B of class X is 33. The average marks for both the sections combined together is
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Here, n1 = 32 , a1 = 60
n2 = 40 , a2 = 33
We know that ,∴ Average = n1a1 + n2a2 n1 + n2 Required average = 32 × 60 + 33 × 40 32 + 40
Correct Option: B
Here, n1 = 32 , a1 = 60
n2 = 40 , a2 = 33
We know that ,∴ Average = n1a1 + n2a2 n1 + n2 Required average = 32 × 60 + 33 × 40 32 + 40 Required average = 1920 + 1320 72 Required average = 3240 = 45 72
- The average income of 40 persons is ₹ 4200 and that of another 35 persons is ₹ 4000. The average income of the whole group is :
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Here, n1 = 40, a1 = ₹ 4200
n2 = 35 , a2 = ₹ 4000∴ Average = n1a1 + n2a2 n1 + n2 Average income of whole group = 4200 × 40 + 4000 × 35 75 Average income of whole group = 168000 + 140000 75
Correct Option: C
Here, n1 = 40, a1 = ₹ 4200
n2 = 35 , a2 = ₹ 4000∴ Average = n1a1 + n2a2 n1 + n2 Average income of whole group = 4200 × 40 + 4000 × 35 75 Average income of whole group = 168000 + 140000 75 Average income of whole group = 308000 75 Average income of whole group = ₹ 4106 2 3
- If the average weight of 6 students is 50 kg; that of 2 students is 51 kg; and that of other 2 students is 55 kg; then the average weight of all students is
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We can find the required average weight with the help of given formula ,
Here, n1 = 6 , a1 = 50 kg
n2 = 2 , a2 = 51 kg , n2 = 2 , a2 = 55 kg∴ Average = n1a1 + n2a2 + n3a3 n1 + n2 + n3 Required average weight = (50 × 6 + 51 × 2 + 55 × 2) 10
Correct Option: D
We can find the required average weight with the help of given formula ,
Here, n1 = 6 , a1 = 50 kg
n2 = 2 , a2 = 51 kg , n2 = 2 , a2 = 55 kg∴ Average = n1a1 + n2a2 + n3a3 n1 + n2 + n3 Required average weight = (50 × 6 + 51 × 2 + 55 × 2) 10 Required average weight = 300 + 102 + 110 10 Required average weight = 512 = 51.2 kg. 10
- The average of 30 results is 20 and the average of other 20 results is 30. What is the average of all the results ?
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Here, n1 = 30, a1 = 20
n2 = 20, a2 = 30
We know that ,∴ Required average = n1a1 + n2a2 n1 + n2 Required average = 20 × 30 + 20 × 30 30 + 20
Correct Option: A
Here, n1 = 30, a1 = 20
n2 = 20, a2 = 30
We know that ,∴ Required average = n1a1 + n2a2 n1 + n2 Required average = 20 × 30 + 20 × 30 30 + 20 Required average = 600 + 600 50 Required average = 1200 = 24 50
