Average Problems Solving Tips and Tricks With Explanation


Average

: Average is defined as the sum of observations by the number of observations.

Formula

Average = sum of observations
                 number of observations

Tips And Tricks To Solve Average

1. Average of first n natural number?
= n+l 
     2

eg: Average of first 60 natural number?
60+l  = 30.5
     2

2. Average of first n odd number?
= n

eg: Average of first 90 odd number?
= 90

3.Average of first n even number?
= n+1

eg: Average of first 40 even number?
= 40+1
= 41

4. Average of five consecutive number is 40.
  Find the Average of 1st and 3rd No?
Solution:
          38,39,40,41,42
        = 38+40
               2
        = 39

5. Average of five consecutive odd number is 27. Find the smallest number?
Solution:
 23,25,27,29,31
∴ 23 is the smallest number.

6. Average of four consecutive odd number is 25. Find the smallest number?
Solution:
 21,23,25,27,29
∴ 21 is the smallest number.

7. Average of four consecutive even number is 45. Find the smallest number?
Solution:
42,44,45,46,48
∴ 42 is the smallest number.

8. A is moving from x to y with a speed of 60 km/hr and return with a speed of 50 km/hr. Find the Average speed?
Solution:
Avg. Speed = 2ab
                        a+b
                     = 2×60×50
                            60+50
                     = 54.54

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