First slide

Introduction to statistics

Question

If $μ$ is the mean of distribution $(y_{i}, f_{i}), then {Σf}_{i} (y_{i} - μ) =$

Moderate

A

M.D.
B

S.D.
C

0
D

Relative frequency

Solution

We have,
$\begin{array}{r} \sum f_{i} (y_{i} - μ) = \sum f_{i} y_{i} - {μΣf}_{i}_{i} = \sum f_{i} y_{i} - {μΣf}_{i} = 0 \\ [∵ μ = \frac{\sum f_{i} y_{i}}{\sum f_{i}}] \end{array}$

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