find arthematic mean of first 10 whole numbers
Answers
Answer:-
The mean of the first 10 whole numbers is 4.5.
Explaination:-
Sum of the first 10 whole numbers= 0+1+2+3+4+5+6+7+8+9=45.
45/10=4.5
Hence, the mean of the first 10 whole numbers is 4.5.
@WildCat7083
Step-by-step explanation:
Given:-
First 10 whole numbers
To find:-
Find arthematic mean of first 10 whole numbers?
Solution:-
The first 10 whole numbers are 0,1,2,3,4,5,6,7,8,9
The sum of the first 10 whole numbers
= 0+1+2+3+4+5+6+7+8+9
=45
Total numbers = 10
We know that
Arithmetic Mean = Sum of all observations/Number of all observations
=> AM = 45/10
=> AM = 4.5
(Or)
We have 0,1,2,3,4,5,6,7,8,9
First term = 0
Common difference = 1-0 = 1
Number of terms = 10
They are in the AP
Sum of first n terms in an AP
=Sn = (n/2)[2a+(n-1)d]
=> S10 = (10/2)[2×0+(10-1)(1)]
=> S10 = (5)(0+9)
=> S10 = 5(9)
=> S10 = 45
Arithmetic Mean = Sum of all observations/Number of all observations
=> AM = 45/10
=> AM = 4.5
Answer:-
Arithmetic Mean of the given problem is 4.5
Used formulae:-
Arithmetic Mean = Sum of all observations/Number of all observations
Sum of first n terms in an AP=Sn = (n/2)[2a+(n-1)d]