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 a class of 100 students, the average weight is 30 kg. If the average weight of the girls is 24 kg and that of the boys is 32 kg, then what is the number of girls in the class?

A) 25 B) 26
C) 27 D) 28
 
Answer & Explanation Answer: A) 25

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Q:

In a school , 391 boys and 323 girls have been divided into the largest possible equal classes , so that each class of boys numbers the same as each class of girls . What is the number of classes ?

A) 23 B) 19
C) 44 D) 17
 
Answer & Explanation Answer: D) 17

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Q:

The standard deviation of the set {10, 10, 10, 10, 10} is

A) 0 B) 1
C) 5 D) 10
 
Answer & Explanation Answer: A) 0

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Q:

The mean of 21 observations (all different) is 40. If each observation greater than the median is increased by 21, then the mean of observations will become:

A) 50 B) 30
C) 50.5 D) 45
 
Answer & Explanation Answer: A) 50

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Q:

The average weight of 35 apples is 50 grams. If some apples of weight 40 grams each were removed, then average weight becomes 57.5 grams. How many apples of weight 40 grams were removed?

A) 5 B) 10
C) 15 D) 20
 
Answer & Explanation Answer: C) 15

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Q:

The mode and median of the data 8, 6, 8, 7, 8, 6, 8, 7, 6 is

A) 7 and 8 B) 6 and 7
C) 8 and 7 D) 6 and 8
 
Answer & Explanation Answer: C) 8 and 7

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Q:

Seven friends spent Rs 14 each on a project and the eighth friend spent Rs 21 more than the average expenditure of all eight of them. What is the amount of total money (in Rs) spent by them?

A) 133 B) 136
C) 141 D) 155
 
Answer & Explanation Answer: B) 136

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Q:

Average of the runs of 133 players of a team is 38. If the average of the runs of the male players is 43 and the average of the runs of the female players is 24, then what will be the ratio of the total runs of male players and the total runs of female players respectively?

 

A) 301 : 60   B) 7 : 3  
C) 39 : 11   D) 60 : 207
 
Answer & Explanation Answer: A) 301 : 60  

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