Question

find the average of all even numbers between 7 and 23 ? please explain​

Answer 1

Step-by-step explanation:

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Answer 2

Given :

• Numbers 7 and 23.

To find :

• The average of all even numbers between 7 and 23 =?

Step-by-step explanation :

Let's see all the even numbers between 7 and 23

The even numbers are,

8, 10, 12, 14, 16, 18, 20 ,22

Now, we have to count all of them,

• They are total 8 numbers.

Now, Calculate Sum of all terms

Using Formula

★ Sn = n/2[ 2a + (n - 1)d]

Where,

• n = Total Number of all terms
• a = first terms
• d = common Defference

Here,

• n = 8,
• a = 8
• d = 2

Keep all required values

==> S8 = 8/2[8×2 + (8 - 1)2]

==> S8 = 4 [ 16 + 7×2]

==> S8 = 4 [ 16 + 14]

==> S8 = 4 × 30

==> S8 = 120

Now, Calculate average.

Using Formula

★ Average = ( Sum of given terms)/(Total Number of given terms)

Keep required values

==> Average = 120/8

==> Average = 15

Hence

• Average of given number will be = 15

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