CameraIcon
CameraIcon
SearchIcon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

Assertion :The variance of first n natural numbers is n216 Reason: The sum and the sum of squares of first n natural numbers are n(n+1)2 and n(n+1)(2n+1)6 respectively.

A
Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
Assertion is correct but Reason is incorrect
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
Assertion is incorrect but Reason is correct
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
Open in App
Solution

The correct option is D Assertion is incorrect but Reason is correct
First n natural numbers are, 1,2,3,..........n
Here xi=n(n+1)2,x2i=n(n+1)(2n+1)6
Ergo variance is σ2=x2in(xin)2=n2112
Clearly Assertion is incorrect, obviously Reason is correct.

flag
Suggest Corrections
thumbs-up
0
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Introduction to Separation
PHYSICS
Watch in App
Join BYJU'S Learning Program
CrossIcon