Respuesta :
Using the coefficient of variation, it is found that the performance of the 5th graders in the district is more variable than that of the norm group in Geography and Science.
What is the coefficient of variation of a distribution?
It is given by the division of the standard deviation by it's mean.
Researching this problem on the internet, we have that for geography, the class mean and SD are given, respectively, by 75 and 12, while the norm is of 10 and 85, hence:
[tex]CV_c = \frac{12}{75} = 0.16[/tex]
[tex]CV_n = \frac{10}{85} = 0.12[/tex]
In English, the mean and SD are 100 and 10, respectively, for both, hence:
[tex]CV_c = \frac{10}{100} = 0.11[/tex]
[tex]CV_n = \frac{10}{100} = 0.11[/tex]
In Spelling, they are for the class of 125 and 12, for the norm 15 and 120, hence:
[tex]CV_c = \frac{12}{125} = 0.096[/tex]
[tex]CV_n = \frac{15}{120} = 0.125[/tex]
In Science, they are for the class of 90 and 20, for the norm 15 and 90, hence:
[tex]CV_c = \frac{20}{90} = 0.2222[/tex]
[tex]CV_n = \frac{15}{90} = 0.1667[/tex]
Hence the class is more variable in Geography and Science.
More can be learned about the coefficient of variation at https://brainly.com/question/24495359
