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:

Average of the marks of 132 students of a college is 40. If the average of the marks of the passed students is 42 and the average of the marks of the failed students is 20, then what will be the respective ratio of the total marks of passed students and the total marks of failed students?

 

A) 21 : 1   B) 23 : 2
C) 19 : 11 D) 9 : 2
 
Answer & Explanation Answer: A) 21 : 1  

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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:

After 10 innings the average score per innings of a batsman was 52. After 12 innings the average rose to 54. If the batsman had scored 16 more runs in the 12th innings than in the previous one, how many runs did he score in the 11th innings?

 

 

A) 55 B) 56
C) 54 D) 53
 
Answer & Explanation Answer: B) 56

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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:

Find the median, mode and mean of 9, 5, 8, 9, 9, 7, 8, 9, 8.

A) 9, 9, 9 B) 9, 8, 9
C) 8, 9, 8 D) 8, 9, 9
 
Answer & Explanation Answer: C) 8, 9, 8

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Q:

The mean of marks secured by 30 students in division-A of class X is 67, 55 students of division-B is 63 and that of 40 students of division-C is 61. What is the mean of marks of the students of three divisions of Class X?

A) 63.32 B) 62.62
C) 61.92 D) 64.72
 
Answer & Explanation Answer: A) 63.32

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Q:

The mean of 10 observations is 17. One more observation is included and the new mean becomes 16. The 11th observation is

 

A) 16 B) 8
C) 6 D) 12
 
Answer & Explanation Answer: C) 6

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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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