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 100 observations was calculated as 40. It was found later on that one of the observations was misread as 83 instead of 53. The correct mean is:

A) 39 B) 39.7
C) 40.3 D) 42.7
 
Answer & Explanation Answer: B) 39.7

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Q:

The average of 8 consecutive natural numbers is 38.5. What is the largest of these 8 numbers?

A) 41 B) 39
C) 42 D) 45
 
Answer & Explanation Answer: C) 42

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Q:

In a class of 55 students there are 34 girls. The average weight of these girls is 51 Kg and average weight of the full class is 55.2 kgs. What is the average weight of the boys of the class?

A) 62 B) 59.4
C) 56.8 D) 60
 
Answer & Explanation Answer: A) 62

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Q:

A group of boys has an average weight of 36 kg. One boy weighing 42 kg leaves the group and another boy weighing 30 kg joins the group. If the average now becomes 35.7 kg, then how many boys are there in the group?

A) 30 B) 32
C) 40 D) 56
 
Answer & Explanation Answer: C) 40

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Q:

The mean of 10 observations is 13. Two more observations are included and the new mean becomes 14. The mean of two new observations is

 

A) 19 B) 18
C) 17 D) 16
 
Answer & Explanation Answer: A) 19

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Q:

If a+1a=2 then the vealue of a5+1a5 will be

A) 0 B) 1
C) 3 D) 2
 
Answer & Explanation Answer: B) 1

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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 average (arithmetic mean) amount of savings of ten students is Rs. 600. Three of the students have no savings at all and each of the others have at least Rs. 250 including Nihar, who has exactly Rs. 1300. The largest amount, in Rs., that any one student could have is

A) 3250 B) 3450
C) 3650 D) 3850
 
Answer & Explanation Answer: B) 3450

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