13 is not a usual number. A further solution of the given query is provided below.
Given:
Number of observations = 6
Series 8, 2, 5, 4, 11, 9
The Mean will be:
= [tex]\frac{Sum \ of \ observation}{Total \ number \ of \ observations}[/tex]
By substituting the values, we get
= [tex]\frac{8+2+5+4+11+9}{6}[/tex]
= [tex]\frac{32}{6}[/tex]
= [tex]6.5[/tex]
Now,
The Standard deviation will be:
= [tex]\sqrt{\frac{|x-\bar x|^2}{n} }[/tex]
= [tex]\sqrt{\frac{(1.5)^2+(4.5)^2+(1.5)^2+(2.5)^2+(4.5)^2+(2.5)^2}{6} }[/tex]
= [tex]3.0956[/tex]
13 is not within the range of standard deviation. Thus it is not a usual number.
Learn more about standard deviation here:
https://brainly.com/question/12402189
