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 weight of 100 students is 32 kg. The average weight of first 49 students is 30 kg and of last 50 students is 34 kg. What is the weight (in kg) of the 50th student?

A) 25 B) 30
C) 32 D) 33
 
Answer & Explanation Answer: B) 30

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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:

The average of 41 consecutive odd numbers is 49. What is the largest number.

A) 89 B) 91
C) 93 D) 95
 
Answer & Explanation Answer: A) 89

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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:

The mean height of 25 boys in a class is 150 cm, and the mean height of 35 girls in the same class is 145 cm. The combined mean height of 60 students in the class is ___ (app)

A) 146 B) 143
C) 147 D) 145
 
Answer & Explanation Answer: C) 147

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Q:

The average marks of 40 students in an examination was 34. It was later found that the marks of one student had been wrongly entered as 62 instead of 26. what is the correct average?

A) 33.1 B) 33.3
C) 33.5 D)  33.7
 
Answer & Explanation Answer: A) 33.1

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Q:

In a class of 60 students there are 20 girls who scored an average of 40 marks in the test, what is the average marks of the boys if the class average is 60 marks?

A) 60 B) 70
C) 50 D)
 
Answer & Explanation Answer: B) 70

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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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