FACTS  AND  FORMULAE  FOR  AVERAGE QUESTIONS

 

 

1. Average =Sum of observationsNo. of observations

2. Suppose a man covers a certain distance x kmph and an equal distance at y kmph. Then, the average speed during the whole journey is2xyx+yKmph

Q:

A student, by mistake, wrote 64 in place of 46 as a number at the time of finding the average of 10 given numbers & got the average as 50. The correct average of the numbers is

A) 48.2 B) 48
C) 48.1 D) 49
 
Answer & Explanation Answer: A) 48.2

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Q:

What will be the average of all the prime numbers before 19?

A) 8.28 B) 11.5
C) 5.34 D) 9.63
 
Answer & Explanation Answer: A) 8.28

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Q:

The average weight of 3 men A, B and C is 84 Kg. Another man D joins the group and the average now becomes 80 Kg. If another man E whose weight is 3 Kg more than that of D, replaces A then the average weight of B, C, D and E becomes 79 Kg. What is the weight of A?

A) 70 Kg B) 72 Kg
C) 75 Kg D) 80 Kg
 
Answer & Explanation Answer: C) 75 Kg

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Q:

The sum of 15 observations of a data is (434 + x). If the mean of the data is x, then the value of x is

A) 31 B) 33
C) 27 D) 25
 
Answer & Explanation Answer: A) 31

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Q:

The average revenues of 7 consecutive years of a company is Rs 83 lakhs. If the average of first 4 years is Rs 78 lakhs and that of last 4 years is Rs 90 lakhs, find the revenue for the 4th year.

A) Rs 91 lakhs B) Rs 93 lakhs
C) Rs 89 lakhs D) Rs 87 lakhs
 
Answer & Explanation Answer: A) Rs 91 lakhs

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Q:

A factory buys 8 machines. 3 Machine­A, 4 Machine­B and rest Machine­C. Prices of the machines are Rs 45000, Rs 25000 and Rs 35000 respectively. Calculate the average cost (in Rs) of these machines?

A) 33750 B) 35000
C) 36250 D) 32250
 
Answer & Explanation Answer: A) 33750

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Q:

The mean of the data 1, 2, 10, 18, 3, 17, 19 is

A) 7 B) 10
C) 17 D) 70
 
Answer & Explanation Answer: B) 10

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Q:

The mean of marks secured by 45 students in division A of class X is 56, 40 students of division B is 52 and that of 40 students of division C is 50. Find the mean of marks of the students of three divisions of Class X.

A) 52.1 B) 51.4
C) 52.8 D) 54.2
 
Answer & Explanation Answer: C) 52.8

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