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:

The average marks obtained by a group of 10 students were 20. One student left the group as a result of which the average of the remaining students rose to 21. But another student joined, as a result of which the average marks of the group dropped a bit and became 20.6. What were the average marks obtained by the student who left and the one who joined?

 

A) 14 B) 15
C) 16 D) 23
 
Answer & Explanation Answer: A) 14

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Q:

In a class when a test is conducted, mean of 25 students marks is 60 if mean of first 13 students marks is 70 and mean of last 13 students marks is 50 find the marks of the middle student when arranged in the ascending order.

A) 70 B) 40
C) 50 D) 60
 
Answer & Explanation Answer: D) 60

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Q:

Among four bags, average weight of last three bags is 18 kg and the average weight of first three bags is 19 kg. If the weight of last bag is 22 kg, then what is the weight (in kg) of first bag?

 

A) 32 B) 24
C) 33 D) 25
 
Answer & Explanation Answer: D) 25

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Q:

The average of 5 consecutive numbers is 50%, then difference between 'product of largest and smallest number' with 'product of fourth and second number' is

A) 3 B) -3
C) 0 D) 10
 
Answer & Explanation Answer: B) -3

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Q:

Average marks obtained by 19 boys of a college is 56. If the highest marks and lowest marks obtained are removed, then the average reduces by 2. What is the average of the highest and lowest marks obtained?

 

A) 77   B) 69  
C) 73   D) 75
 
Answer & Explanation Answer: C) 73  

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Q:

The mode and median of the data 8, 6, 8, 7, 8, 6, 8, 7, 6 is

A) 7 and 8 B) 6 and 7
C) 8 and 7 D) 6 and 8
 
Answer & Explanation Answer: C) 8 and 7

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Q:

Average of the runs of 133 players of a team is 38. If the average of the runs of the male players is 43 and the average of the runs of the female players is 24, then what will be the ratio of the total runs of male players and the total runs of female players respectively?

 

A) 301 : 60   B) 7 : 3  
C) 39 : 11   D) 60 : 207
 
Answer & Explanation Answer: A) 301 : 60  

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Q:

The mean of the data 3, 10, 10, 4, 7, 10, 5 is

A) 18/7 B) 7
C) 39/7 D) 6
 
Answer & Explanation Answer: B) 7

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