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 sum of 15 observations of a data is (434 + x). If the mean of the data is x, then the value of x is

A) 31 B) 33
C) 27 D) 25
 
Answer & Explanation Answer: A) 31

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Q:

The standard deviation of the set {10, 10, 10, 10, 10} is

A) 0 B) 1
C) 5 D) 10
 
Answer & Explanation Answer: A) 0

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Q:

Four numbers A, B, C and D are such that their overall average is 16. The average of A and B is 9.5. The average of C and D is

A) 22.5 B) 23
C) 21.5 D) 25.5
 
Answer & Explanation Answer: A) 22.5

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Q:

The mean of the data 3, 10, 10, 4, 7, 10, 5 is

A) 18/7 B) 7
C) 39/7 D) 6
 
Answer & Explanation Answer: B) 7

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Q:

Find the average of all prime numbers from 1 to 50.

A) 21.867 B) 22.857
C) 23.887 D) 24.867
 
Answer & Explanation Answer: A) 21.867

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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:

The median of the data -3, 4, 0, 4, -2, -5, 1, 7, 10, 5 is

A) 2 B) 2.5
C) 2.75 D) 3
 
Answer & Explanation Answer: B) 2.5

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Q:

There was a group of 6 students who took a test. Another student joined the group after taking the test later. With her marks included the average score of the group went up by 3. This student has got ___ marks more than the average marks without her being included.

 

A) 21 B) 20
C) 18 D) 24
 
Answer & Explanation Answer: A) 21

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