Answer to Question #168296 in Statistics and Probability for james gatare

Question

1.     In a psychological experiment a researcher has six different groups with the following number of respondents: 25,30,18,27,28,22. Find

i) Mean (1 mks)

ii) Variance (3 mks)

iii Standard deviation (1 mks)

 

Answer 1

Mean $\mu=\frac{25+30+18+27+28+22}{6}=\frac{150}{6}=25.$

Variance $\sigma^2=\frac{(25-25)^2+(30-25)^2+(18-25)^2+(27-25)^2+(28-25)^2+(22-25)^2}{6}=\frac{96}{6}=16.$

Standard deviation $\sigma=\sqrt{16}=4.$