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 mean of marks secured by 35 students in division A of class X is 65, 45 students of division B is 61 and that of 70 students of division C is 59. What is the mean of marks of the students of three divisions of Class X?

A) 60.3 B) 59.6
C) 61 D) 62.4
 
Answer & Explanation Answer: C) 61

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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:

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:

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:

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 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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