First slide

Introduction to statistics

Question

Two teams A and B have the same mean and their coefficients of variations are 4,2 respectively. If $σ_{A}, σ_{B}$ are the standard deviations of teams A, B respectively then the relation between them is

Easy

A

$σ_{A} = σ_{B}$
B

$σ_{B} = 2 σ_{A}$
C

$σ_{A} = 2 σ_{B}$
D

$σ_{B} = 4 σ_{A}$

Solution

$\frac{σ_{A}}{\bar{x}} = \frac{4}{100} a n d \frac{σ_{B}}{\bar{x}} = \frac{2}{100}$
$\Rightarrow σ_{A} = 2. σ_{B}$

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