1
You visited us
1
times! Enjoying our articles?
Unlock Full Access!
Byju's Answer
Standard VIII
Mathematics
Mean for an Ungrouped Data
The mean of t...
Question
The mean of the first n natural numbers is
A
n
2
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
n
+
1
2
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
C
n
2
+
1
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
n
2
+
n
+
1
n
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution
The correct option is
B
n
+
1
2
We know that sum of first n natural numbers is
n
(
n
+
1
)
2
So mean of the first n natural numbers =
s
u
m
o
f
n
n
a
t
u
r
a
l
n
u
m
b
e
r
s
n
u
m
b
e
r
=
n
(
n
+
1
)
2
n
=
(
n
+
1
)
2
Suggest Corrections
0
Similar questions
Q.
1 + 2 + 3 + ... + n =
n
(
n
+
1
)
2
i.e. the sum of the first n natural numbers is
n
(
n
+
1
)
2
.
Q.
Statement-1 : The variance of first n even natural numbers is
n
2
−
1
4
Statement-2 : The sum of first n natural numbers is
n
(
n
+
1
)
2
and The sum of squares first n natural numbers is
n
(
n
+
1
)
(
2
n
+
1
)
6
Q.
The sum of first n odd natural numbers is
(a) 2n − 1
(b) 2n + 1
(c) n
2
(d) n
2
− 1