The display shows the heights of Grade 12 students at a local high school,collected so that the students could be arranged with shorter ones in front and taller ones in back for a class photograph.In addition to describing the distribution,give a reason to account for the shape of this distribution.
A)The distribution of the heights of Grade 12 students is bimodal,with a mode at around 65 inches and the other mode around 71 inches.The students' heights are between 60 inches and 74 inches.The two modes would likely represent the average heights of the male and female students.
B)The distribution of the heights of Grade 12 students is unimodal centred at 68,with a heights ranging from 60 inches to 76 inches.The two peaks would likely represent the average heights of the male and female students.
C)The distribution of the heights of Grade 12 students is bimodal,with a mode at around 62 inches and the other mode around 74 inches.No student has a height below 60 inches or above 76 inches.The two modes would likely represent the average heights of the male and female students.
D)The distribution of the heights of Grade 12 students is bimodal,with a mode at around 65 inches and the other mode around 71 inches.No student has a height below 60 inches or above 76 inches.The two modes would likely represent the average heights of the male and female students.
E)The distribution of the heights of Grade 12 students is uniform centred at 68,with a heights ranging from 60 inches to 76 inches.The two peaks would likely represent the average heights of the male and female students.

Question

The display shows the heights of Grade 12 students at a local high school,collected so that the students could be arranged with shorter ones in front and taller ones in back for a class photograph.In addition to describing the distribution,give a reason to account for the shape of this distribution. 
A)The distribution of the heights of Grade 12 students is bimodal,with a mode at around 65 inches and the other mode around 71 inches.The students' heights are between 60 inches and 74 inches.The two modes would likely represent the average heights of the male and female students. 
B)The distribution of the heights of Grade 12 students is unimodal centred at 68,with a heights ranging from 60 inches to 76 inches.The two peaks would likely represent the average heights of the male and female students. 
C)The distribution of the heights of Grade 12 students is bimodal,with a mode at around 62 inches and the other mode around 74 inches.No student has a height below 60 inches or above 76 inches.The two modes would likely represent the average heights of the male and female students. 
D)The distribution of the heights of Grade 12 students is bimodal,with a mode at around 65 inches and the other mode around 71 inches.No student has a height below 60 inches or above 76 inches.The two modes would likely represent the average heights of the male and female students. 
E)The distribution of the heights of Grade 12 students is uniform centred at 68,with a heights ranging from 60 inches to 76 inches.The two peaks would likely represent the average heights of the male and female students.

Quizplus · Accepted Answer

The description of a bimodal distribution with modes around 65 inches and 71 inches, and no outliers below 60 inches or above 76 inches, suggests that there are two distinct groups of students with different average heights. This could be due to biological factors, such as differences in gender or ethnicity, or to social factors, such as participation in sports or nutrition. The absence of outliers also indicates that the data is relatively well-behaved and does not include extreme values that would skew the distribution. Overall, choice D provides the most accurate and plausible description of the data.

The Display Shows the Heights of Grade 12 Students at a Local