Question

Find the average of all even number 100?​

Answer 1

Answer:

55

Step-by-step explanation:

Answer 2

Answer:

We will solve this question by putting all the even numbers up to 100 in an ARITHMETIC PROGRESSION.

In this case, a = 2( which is the first even number), an = 98( which is the last even number before 100) and d = 2.

$an = a + (n - 1)d$

$98 = 2 + (n - 1)2$

$98 = 2 + 2n - 2$

$n = \frac{98}{2}$

$n = 49$

$sn = \frac{n}{2} (a + an)$

$sn = \frac{49}{2} (2 + 98)$

$sn = 49 \times 50$

$sn = 2450$

$average = \frac{sum \: of \: observations}{number \: of \: observations}$

$average = \frac{sn}{n}$

$average = \frac{2450}{49}$

$average = 50$

Hope it helps...

#Black day

Tribute to all the brave soldiers who lost their lives in the February 14, 2019 Pulwama attack