    Question

# Which of the following are true statements.

A

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

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B

For given n observation x1, x2, ... xn, with mean variance will be  No worries! We‘ve got your back. Try BYJU‘S free classes today!
C

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

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D

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

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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.  Suggest Corrections  0      Similar questions  Related Videos   Practice Set 1
MATHEMATICS
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