32 Eve and hair color A survey of 1021 schoolage children wa

32. Eve and hair color A survey of 1021 school-age children was conducted by randomly selecting children from several large urban elementary schools. Two of the questions concerned eye and hair color. In the survey, the following codes were used: Hair Color I=Blond 2 = Brown 3=Black 4 Red 5 Other Eye Color 1-Blue 2= Green 3=Brown 4 Grey 5-Other The Statistics students analyzing the data were asked to study the relationship between eye and hair color. They produced this plot:

Solution

The graph is not appropriate. A boxplot is a convenient way of graphically depicting groups of numerical data through their quartiles. The above graph is not giving us information about the descriptive statistics of Eye color with the categorization in Hair color. It means that take only guys who have \"blond\" hair color, then 25 % of the guys will have eye color=3(assuming it to be true) and median will be 3.5 which is not color at all. So this is absurd.

it cannot give us any finding about the relation between Hair Color and Eye color. Also, Box plot of this type are not used fot correlating two varibales. It might be the case that two different box plot are given for two variables but not the same one using the same boxes.