Answer:
Step-by-step explanation:
From the given information:
The mean [tex]\hat x = \dfrac{\sum x}{n}[/tex]
[tex]\hat x = \dfrac{25+36+41+28+29+32+29+37+34+34+37+35+30+36+31+31}{16}[/tex]
[tex]\overline{x} = \dfrac{535}{16}[/tex]
[tex]\overline{x} = 33.44[/tex]
The sample variance is as follows:
[tex]S^2 = \dfrac{\sum dx^2 - ( \dfrac{\sum dx)^2}{n} )}{n-1}[/tex]
[tex]S^2 = \dfrac{279- ( \dfrac{7}{15} )^2}{15}[/tex]
[tex]S^2 = 18.585[/tex]
