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:

In an exam, the avarage marks obtained by John in English, Maths, Hindi and Drawing were 50. His average marks in Maths, Science, Social Studies and Craft were 70. If the average marks in all seven subjects is 58, his score in maths was

A) 50 B) 52
C) 60 D) 74
 
Answer & Explanation Answer: D) 74

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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 198, then what is the difference between the first and the third number?

A) 216 B) 297
C) 661 D) 431
 
Answer & Explanation Answer: A) 216

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Q:

The mode of the data 12, 1, 10, 1, 9, 3, 4, 9, 7, 9 is

A) 9 B) 12
C) 1 D) 7
 
Answer & Explanation Answer: A) 9

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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 average of runs scored by a cricketer in his 99 innings is 99. How many runs will he have to score in his 100th innings so that his average of runs in 100 innings may be 100?

A) 100 B) 99
C) 199 D) 101
 
Answer & Explanation Answer: C) 199

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Q:

The average of 21 numbers is 12. The average of the first 11 numbers is 9 and the average of the last 11 numbers is 15. What is the value of the middle number?

A) 10 B) 11
C) 12 D) 13
 
Answer & Explanation Answer: C) 12

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Q:

The average marks obtained by Raghav in 12 tests is 24. Zubeida has maintained an average of 23 so far but has taken only 9 of the tests. If each test is out of 30, at least how much Zubeida score in any one of the remaining three tests to still have a chance to match Raghav's performance?

A) 21 B) 22
C) 20 D) 19
 
Answer & Explanation Answer: A) 21

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Q:

In a cricket match, the scores of the players are considered such that coefficient of variation of scores is 16 and mean is 25 then the variance is

 

A) 12 B) 8
C) 16 D) 4
 
Answer & Explanation Answer: C) 16

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