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What is the average of all even integers from 2 to 40


Sagot :

[tex]\huge\bold\green{\boxed{\tt •ANSWER•}}[/tex]

[tex]\huge\bold\blue{\boxed{\tt •EXPLANATION•}}[/tex]

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To find the average of even numbers till a given even number, we will add all the even number till the given number and t count the number of even numbers. Then divide the sum by the number of even numbers.

EXPLANATION:

Average of even numbers till 10 is 6 i.e.

2 + 4 + 6 + 8 + 10 = 30 => 30/ 5 = 6There are two methods for calculating the average of even number till n which is an even number.

  • Using Loop
  • Using Formula

Program to find the average of even number till n using loops:

To calculate the average of even numbers till n, we will add all even numbers till n and then divide in by the number of even number till than.

Program to find the average of even numbers till n using Formula:

To calculate the average of even numbers till n we can use a mathematical formula (n+2)/2 where n is an even number which is the given condition in our problem.

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Answer:

21

Step-by-step explanation:

average=sum of observations/no observations

2+4+6...+40/20

2(1+2+3...+20)/20

1+2+3...+20/10

sum of n natural number = n (n+1)/2

sum of natural number till 20 = 20×21/2 = 210

210/10

=21

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