Question

average of all even number's up to 98

Answer 1

Answer:

first of all

we calculate all numbers of sum

up to 98

so you get from 2 to 98

2450/49

= 50

mate hope it will help you

have a gud day

Answer 2

Answer:

Hi!

Here’s the answer:

All even numbers form an A.P with first term(a) 2 and common difference(d) 2

Since we need to find the average up to 98 our final term will also be 98

Using final term formula

Final term = a+(n-1)d where n is the number of terms in an A.P

98= 2+(n-1)2

98-2=(n-1)2

96=(n-1)2

n-1=96/2

n-1=48

n=48+1=49

Hence there are 49 even numbers up to 98

Using sum of n terms in an A.P

Sum of n terms = n/2(2a+(n-1)d)

49/2(2*2+(49-1)2)

49/2(4+48*2)

49/2(4+96)

49*50

2450 = Sum of even numbers up to 98

Average of all even numbers up to 98 =

Sum of even numbers up to 98/ Number of even numbers up to 98

2450/49 = 50

Hence 50 is our answer.