The mean of first n odd natural number is
(a)n+1/2
(b)n/2
(c)n
(d)n2
Answers
Answered by
5
SOLUTION :
The correct option is (c) : n
First n odd natural numbers are : 1,3,5.........(2n - 1)
MEAN = Sum of all the observations/ Total number of observations
MEAN = (1 + 3 + 5 + ……+ (2n - 1))/n
MEAN = (n/2 × (2n)) / n
[The sum of the first n odd natural numbers : Sn = n/2 (a + l ) = n/2(1 + 2n -1) = n/2 ×2n]
MEAN = n²/n = n
MEAN = n
Hence, the Mean of First n odd natural numbers is n.
HOPE THIS ANSWER WILL HELP YOU……
Answered by
0
Answer:
According to problem:
a=1
d=2
∴S
n
=
2
n
[2a+(n−1)d]
=
2
n
[2+2n−2]
=n
2
∴Mean=
n
S
n
=
n
n
2
=n
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