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Statistics

RD Sharma

CBSE

Grade 10

Question:

The algebraic sum of deviations of a set of $n$ values from their mean $\bar{x}$ is:
(a) $0$
(b) $n \bar{x}$
(c) $n$
(d) $\bar{x}$

Step-by-Step Solution

Key Concept: $\sum (x_i - \bar{x}) = \sum x_i - n \bar{x} = n \bar{x} - n \bar{x} = 0$.

$\sum (x_i - \bar{x}) = 0$. [1.0 Mark]

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🎯 Official CBSE Marking Scheme:
Selecting 0: 1.0 Mark

Correct Answer: $0$

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