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 median of the numbers 14, 12, 12, 16, 13 and 18 is

A) 13 B) 14
C) 14.5 D) 13.5
 
Answer & Explanation Answer: D) 13.5

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Q:

The mean of 14 observations is 11. One more observation is included and the new mean becomes 12. The 15th observation is

A) 20 B) 24
C) 26 D) 28
 
Answer & Explanation Answer: C) 26

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Q:

The mean of marks secured by 45 students in division A of class X is 69, 65 students of division B is 65 and that of 50 students of division C is 63. Find the mean of marks of the students of three divisions of Class X.

A) 65.5 B) 64.8
C) 64.1 D) 66.9
 
Answer & Explanation Answer: A) 65.5

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Q:

For the data given below. find the sum of mode. median and mean.6, 3, 8, 4, 3, 11, 7, 4, 5, 4.

A) 13.5 B) 13
C) 14 D) 14.5
 
Answer & Explanation Answer: C) 14

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Q:

In the first 43 overs of a cricket match, the run rate was 5 runs/over. Calculate the required run rate in the remaining 7 overs to reach the target of 285 runs?

A) 10.6 B) 11.2
C) 10 D) 9.4
 
Answer & Explanation Answer: C) 10

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Q:

Among three numbers, the first is twice the second and thrice the third, If the average of three numbers is 517, then what is the difference between the first and the third number?

A) 564 B) 759
C) 485 D) 799
 
Answer & Explanation Answer: A) 564

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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 mean of 12 observations is 15. One more observation is included and the new mean becomes 16. The 13th observation is

A) 2 B) 24
C) 26 D) 28
 
Answer & Explanation Answer: D) 28

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