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 of 100 items was found to be 30 . If at the time of calculation , two items were wrongly taken as 32 and 12 instead of 23 and 11 , then the correct average is

A) 29.8 B) 29
C) 29.9 D) 29.5
 
Answer & Explanation Answer: C) 29.9

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Q:

The average marks obtained by a group of 16 students was 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 20.5. What was the average marks obtained by the student who left and the one who joined?

A) 10 B) 11
C) 8 D) 9
 
Answer & Explanation Answer: D) 9

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Q:

The mean of marks secured by 65 students in division A of class X is 54, 30 students of division B is 50 and that of 55 students of division C is 48. Find the mean of marks of the students of three divisions of Class X.

A) 50.3 B) 49.6
C) 51 D) 52.4
 
Answer & Explanation Answer: C) 51

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Q:

The average height of 30 boys out of a class of 50 is 160 cm. If the average height of the remaining boys is 165 cm, the average height of the whole class (in cm) is:

A) 161 B) 162
C) 163 D) 164
 
Answer & Explanation Answer: B) 162

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Q:

The mean of 100 observations was calculated as 40. It was found later on that one of the observations was misread as 83 instead of 53. The correct mean is:

A) 39 B) 39.7
C) 40.3 D) 42.7
 
Answer & Explanation Answer: B) 39.7

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Q:

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

A) 25 B) 40
C) 50 D) 99
 
Answer & Explanation Answer: C) 50

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Q:

What is the average of all numbers between 100 and 200 which are divisible by 13?

A) 147.5 B) 145.5
C) 143.5 D) 149.5
 
Answer & Explanation Answer: D) 149.5

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Q:

The average of four consecutive odd numbers is 64. What is the value of largest number?

A) 65 B) 69
C) 71 D) 67
 
Answer & Explanation Answer: D) 67

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