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 mean of the data 1, 2, 10, 18, 3, 17, 19 is

A) 7 B) 10
C) 17 D) 70
 
Answer & Explanation Answer: B) 10

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Q:

The mean score in a test of the 10 boys in a class was 15 while the overall mean of the 25 students in the class was 16.2. What was the mean score of the girls?

A) 16.8 B) 17
C) 16.5 D) 17.5
 
Answer & Explanation Answer: B) 17

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Q:

A boy spends Rs 20 to purchase toffees at Rs 1 each. Next day, he purchased some toffees for Rs 40 with a discount of 50 paise per toffee. What is the average price per toffee (in paise)?

A) 45 B) 60
C) 40 D) 55
 
Answer & Explanation Answer: B) 60

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Q:

The mean of the 5 smallest numbers from a group is 15 while the mean of all the 13 members of the group taken together is 17. What is the mean of the 8 largest numbers?

A) 18.50 B) 17.75
C) 18.75 D) 18.25
 
Answer & Explanation Answer: D) 18.25

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Q:

The average height of 50 bats is 126 cm. Some bats of average height 120 cm are removed. If the new average height is 130 cm, then how many bats are remaining?

 

A) 12 B) 20
C) 16   D) 30
 
Answer & Explanation Answer: D) 30

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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:

Average of 31 numbers is 19. If the average of first 8 numbers is 24, then what is the average of the remaining numbers?

A) 17.26 B) 23.25
C) 26.2 D) 25.45
 
Answer & Explanation Answer: A) 17.26

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Q:

The average revenues of 13 consecutive years of a company is Rs 78 lakhs. If the average of first 7 years is Rs 73 lakhs and that of last 7 years is Rs 85 lakhs, what is the revenue for the 7th year?

A) Rs 94 lakhs B) Rs 90 lakhs
C) Rs 88 lakhs D) Rs 92 lakhs
 
Answer & Explanation Answer: D) Rs 92 lakhs

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