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Average Part 1 (in Hindi)
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This lesson will gives you the basic concepts of average also it deals with some of the basic shortcut to solve questions from average.

Kunal swarnkar
Graduated as a Mechanical Engineer.

U
Unacademy user
  1. WELCOME TO UNACADEMY Average part 1 By kunal swarnkar


  2. About me o Kunal swarnkar . Bachelor's of engineering e/ Mechanical engineering Rate, review and recommend o Follow me on - https://unacademy.com/user/kunalswarn42-7542


  3. . What is the average of 10, 11, 13, 15, 18, and 23? Solution: Sum of numbers-10+11+13+15+18+23 90 Total numbers 6 Average 90/6 15 Find the average of 4, 8, 12, 16, 20, and 24 If the difference is consontant or same then Average (1st no + last no) / 2 Solution: -14


  4. Average of the first 'n' consecutive natural numbers is Average (n+1)/2 . What is the average of the first 25consecutive natural numbers? Solution: - (25+1)/2 2 2nd Method: 1,2,3,4,5,6,7,8,9,... ,20,21,22,23,24,25 Sum of numbers 325, Total numbers 25


  5. Average of the first 'n' natural even number is Average n+ 1 . What is the average of the first 10 natural even numbers? Solution: Average- 10+1 11 2nd Method: 2,4,6,8,10,12,14,16,18,20 Sum of numbers- 110, Total numbers- 10


  6. Average of the first 'n'natural odd numbers is Average n What is the average of the first 8 natural odd numbers? Solution: Average 8 2nd Method: 1,3,5,7,9,11,13,15 Sum of numbers 64, Total numbers 8 -8


  7. Average of natural even numbers up to 'n' Average (n+2) / 2 . What is the average of the even numbers up to 22? Solution: Average 12 2nd Method: 2,4,6,8,10,12,14,16,18,20,22 Sum of numbers 132, Total numbers 11 -12


  8. Average of natural odd numbers up to 'n' Average (n+1)/2 . What is the average of the odd numbers up to 17? Solution: Average - 9 2nd Method: 1,3,5,7,9,11,13,15,17 Sum of numbers 81, Total numbers 9 -9


  9. Average of squares of first 'n' natural numbers Average (n+1)(2n+1)/6 What is the average of the squares of the first 10 natural numbers? Solution: Average- 38.5 2nd Method: 1,4,9,16,25,36,49,64,81,100 Sum of numbers-385, Total number-10 Average- 38.5


  10. Average of the cubes of first 'n' natural numbers Average(n+1)n(n+1)/4 . What is the average of the cubes of the first 6 natural numbers? Solution: Average 6 (6+1)(6+1)4 Average- 73.5 2nd Method: 1,8,27,64,125,216 Sum of numbers-385, Total number-6 Average- 73.5