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:

After 10 innings the average score per innings of a batsman was 52. After 12 innings the average rose to 54. If the batsman had scored 16 more runs in the 12th innings than in the previous one, how many runs did he score in the 11th innings?

 

 

A) 55 B) 56
C) 54 D) 53
 
Answer & Explanation Answer: B) 56

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Q:

Among three numbers, the first is twice the second and thrice the third. If the average of three numbers is 396, then what is the difference between the first and the third number?

A) 594 B) 448
C) 432 D) 453
 
Answer & Explanation Answer: C) 432

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Q:

The average of marks obtained by 100 candidates in a certain examination is 30. If the average marks of passed candidates is 35 and that of the failed candidates is 10, what is the number of candidates who passed the examination?

A) 60 B) 70
C) 80 D) 90
 
Answer & Explanation Answer: C) 80

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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:

The mean score in a test of the 12 boys in a class was 16 while the overall mean of the 30 students in the class was 18.1. What was the mean score of the girls?

A) 19.8 B) 20.5
C) 20 D) 19.5
 
Answer & Explanation Answer: D) 19.5

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Q:

The mean of 14 observations is 11. One more observation is included and the new mean becomes 12. The 15th observation is

A) 20 B) 24
C) 26 D) 28
 
Answer & Explanation Answer: C) 26

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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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Q:

Among three numbers, the first is twice the second and thrice the third, If the average of three numbers is 517, then what is the difference between the first and the third number?

A) 564 B) 759
C) 485 D) 799
 
Answer & Explanation Answer: A) 564

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