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 50 students there are 22 girls who scored an average of 35 marks in the test. What is the average marks of the boys if the class average is 42 marks?

A) 50 B) 52.5
C) 47.5 D) 55
 
Answer & Explanation Answer: C) 47.5

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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:

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:

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 average of marks of 17 students in an examination was calculated as 71. But it was later found that the mark of one student had been wronglyentered as 65 instead of 56 and another as 24 instead of 50. The correct average is

A) 70 B) 71
C) 72 D) 73
 
Answer & Explanation Answer: C) 72

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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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