The property that the sum of squared deviations from the measure is minimum is characteristic of: MCQ with Answer and Explanation

The property that the sum of squared deviations from the measure is minimum is characteristic of:
A. Median
B. Arithmetic mean
C. Mode
D. Geometric mean
Answer: Option B
Solution (By JKSSB Mock Tests)
The arithmetic mean minimizes the sum of squared deviations, i.e., Σ(x - x̄)² is minimum.

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Practice More Statistics Questions

Question #1
The median can be located graphically using:
A. Histogram
B. Frequency polygon
C. Bar chart
D. Ogive

Correct Answer: Option D


Explanation:
The median is the x-value at N/2 on the less than ogive.

This question belongs to: Accountancy and Statistics Statistics
Question #2
If P(A)=0.6, P(B)=0.5, and P(A∩B)=0.3, then P(A'|B) is:
A. 0.5
B. 0.4
C. 0.6
D. 0.2

Correct Answer: Option B


Explanation:
P(A'|B) = 1 - P(A|B). P(A|B) = 0.3/0.5 = 0.6. So P(A'|B)=0.4.

This question belongs to: Accountancy and Statistics Statistics
Question #3
Which index number formula uses the unweighted geometric mean of price relatives?
A. Laspeyres
B. Jevons
C. Paasche
D. Fisher

Correct Answer: Option B


Explanation:
The Jevons index is the geometric mean of the price relatives, giving equal weight to each item.

This question belongs to: Accountancy and Statistics Statistics