Question

a group of 100candidates have their average height 163.8cm with coefficient of variation 3.2 what is the standard deviation of their height​

Answer 1

$\red{\textbf{Answer :-5.24}}$

Step-by-step explanation:

$\red{\textbf{Given :-}}$

$Mean \: of \: height \: of \:  100  \: candidates(x)=163.8$

$Coefficient \: of \: variation \:  ( C.V)=3.2$

$\red{\textbf{To find :-}}$

$standard \: deviation \: of \: thei r \: height.$

$\red{\textbf{So, }}$

$= \LARGE \frac{\sigma}{x} \small \times 100 = 3.2$

$= \LARGE \frac{\sigma}{163.8} \small \times 100 = 3.2$

$\sigma = \LARGE \frac{3.2 \times 163.8}{100}$

$\sigma = 5.24$

$thus \: the \: standard \: deviatio n \: of \: their$

$height \:is \: 5.24$

$\red{\textbf{More information :-}}$

• The Standard Deviation is a measure of how spread out numbers are.

• Its symbol is σ (the greek letter sigma).