91影视

We are given simple data set of$1,2,4,4$

We need to find population mean of given data

A population in statistics is a group of similar items or events that relate to a query or experiment.

Population Mean$\left(渭\right)$=$\frac{\underset{}{鈭�x_i}}{N}$

$x_i$denotes individual value

$N$denotes total population

$渭=\frac{1+2+4+4}{4}=\frac{11}{4}=2.75$

Hence, mean of given data is $2.75$

We are provided simple data having$1,2,4,4$

We need to find standard deviation of given population.

We know standard deviation is square root of variance.

Formula of variance is

${\left(蟽\right)}^2=\frac{(x}{}$₁-渭)²+............+(x_N-渭)²N

Where $x_i$denotes $i_{th}$value

$渭$denotes population mean

$N$denotes total population

Using above formula,

$$\begin{gathered} 蟽=\sqrt{\frac{{(1-2.75)}^2+{(2-2.75)}^2+{(4-2.75)}^2+{(4-2.75)}^2}{4}} \\ =\sqrt{1.688} \\ =1.299 \end{gathered}$$

Hence, population standard deviation of given data is$1.299$