CameraIcon
CameraIcon
SearchIcon
MyQuestionIcon


Question

Which of the following are true statements.



A

Variance gives a better picture of dispersion or scatter compared to mean deviation

loader
B

For given n observation x1, x2, ... xn, with mean  variance will be 

loader
C

Variance can be zero even if all observations are not equal.

loader
D

Variance can be a negative quantity if all the observations are negative

loader

Solution

The correct option is A

Variance gives a better picture of dispersion or scatter compared to mean deviation


Option A: As we take the square of deviations the greater deviations would be contributing more compared to the smaller deviations giving us a better picture than just adding all the deviations.
Option B: For given n observations x1, x2, ....xn with mean variance about mean would be
                           ni=1(xi¯x)2n            
Option C: Variance is sum of squares of deviations. The only way it can be 0 is if all deviations are 0 which implies are observations are equal.

Option D: Variance can never be negative as it is the sum of squares. The least it can get is 0 and only in the case where all observations are equal. 


Mathematics

Suggest Corrections
thumbs-up
 
0


similar_icon
Similar questions
View More


similar_icon
People also searched for
View More



footer-image