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 the data 1, 1/2, 1/2, 3/4, 1/4, 2, 1/2, 1/4, 3/4 is

A) 15/18 B) 13/18
C) 7/9 D) 8/9
 
Answer & Explanation Answer: B) 13/18

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Q:

The mean of 10 observations is 17. One more observation is included and the new mean becomes 16. The 11th observation is

 

A) 16 B) 8
C) 6 D) 12
 
Answer & Explanation Answer: C) 6

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Q:

What is the average of all the one digit, two digit and three digit natural numbers?

A) 300 B) 500
C) 1000 D) 1250
 
Answer & Explanation Answer: B) 500

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Q:

Average of the marks of 132 students of a college is 40. If the average of the marks of the passed students is 42 and the average of the marks of the failed students is 20, then what will be the respective ratio of the total marks of passed students and the total marks of failed students?

 

A) 21 : 1   B) 23 : 2
C) 19 : 11 D) 9 : 2
 
Answer & Explanation Answer: A) 21 : 1  

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Q:

The mean of marks secured by 30 students in division-A of class X is 67, 55 students of division-B is 63 and that of 40 students of division-C is 61. What is the mean of marks of the students of three divisions of Class X?

A) 63.32 B) 62.62
C) 61.92 D) 64.72
 
Answer & Explanation Answer: A) 63.32

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Q:

Samit was given some money to take care of his travel during a 6-day sales drive he had to undertake. However, he had to increase his stay by another 4 days and as a result his average daily travel allowance went down by Rs. 56. What was the amount that was sanctioned to him in the beginning?

A) Rs.336 B) Rs.560
C) Rs.840 D) Rs.420
 
Answer & Explanation Answer: C) Rs.840

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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:

The average salary of all workers in a workshop is Rs.12000. The average salary of 7 technicians is Rs.15000 and the average salary of the rest is Rs.9000. The total number of workers in the workshop is

A) 12 B) 13
C) 14 D) 15
 
Answer & Explanation Answer: C) 14

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