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 runs scored by two batsmen over 7 matches are given below. Which batsman average was better ?

 

A) Batsman 1 - 39.3 B) Batsman 1 - 45.9
C) Batsman 1 - 43.2 D) Batsman 2 - 45.9
 
Answer & Explanation Answer: D) Batsman 2 - 45.9

Explanation:
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Q:

Find the range of the data 9, 5, 9, 3, 4, 7, 8, 4, 8, 9, 5, 9.

 

A) 3 B) 5
C) 6 D) 4
 
Answer & Explanation Answer: C) 6

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Q:

The average marks of 50 students in an examination was 65. It was later found that the marks of one student had been wrongly entered as 83 instead of 38. The correct average is?

A) 63.9 B) 64.5
C) 64.7 D) 64.1
 
Answer & Explanation Answer: D) 64.1

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Q:

Given below are the ages in yrs of a group of children. What is the medium age?

 

7, 9, 8, 6 , 5, 3, 9, 2



A) 6.5 B) 5
C) 6.125 D) 6
 
Answer & Explanation Answer: A) 6.5

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Q:

The average of 50 consecutive natural numbers is x. What will be the are average when the next four natural numbers are also included?

A) x + 1 B) x + 2
C) x + 4 D) x + (x/54)
 
Answer & Explanation Answer: B) x + 2

Explanation:
Sum of n consecutive natural numbers = n(n+1)/2
Average of n consecutive natural numbers = (n+1)/2
For first 50 average = 51/2 = x
Last 50 average = 55/2 = x+2
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Q:

In a particular week the average number of people who visited the Park is 40. If we exclude the holidays then the average is increased by 16. Further if we exclude also the day on which the maximum number of 112 people visited the Park, then the average becomes 42. The number of holidays in the week is

A) 1 B) 2
C) 3 D) 4
 
Answer & Explanation Answer: B) 2

Explanation:
Total number of people = 40 * 7 = 280
(7 -n)*(40+16) = 280 
(7 -n)*56 = 280

7-n = 5

Number of holidays = 2

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Q:

The median of the numbers 3, 1, 1 5, 2 and 7 is

 

A) 3.5 B) 2.5
C) 2 D) 3
 
Answer & Explanation Answer: B) 2.5

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Q:

Find the average of first 50 natural numbers?

A) 25 B) 25.5
C) 26 D) 26.5
 
Answer & Explanation Answer: B) 25.5

Explanation:

We Know that sum of the n natural numbers =n(n+1)2

  

Then sum of 50 natural numbers= 50(51)2= 1250

  

Average of the 50 natural numbers = 125050 = 25.5

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