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:

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 5 smallest numbers from a group is 15 while the mean of all the 13 members of the group taken together is 17. What is the mean of the 8 largest numbers?

A) 18.50 B) 17.75
C) 18.75 D) 18.25
 
Answer & Explanation Answer: D) 18.25

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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:

20 pens and 46 pencils were purchased for Rs. 235. If the average price of a pencil is Rs. 2.50 then calculate the average price (in Rs.) of a pen.

A) 6 B) 4
C) 8 D) 12
 
Answer & Explanation Answer: A) 6

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Q:

Find the mean and mode of the numbers 1, 9, 5, 4, 2, 1, 9, 9, 2, 1, 9, 1, 2, 1?

A) 4 & 9 B) 5 & 1
C) 4 & 1 D) 5 & 9
 
Answer & Explanation Answer: C) 4 & 1

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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 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:

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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