Question 4 Your answer is CORRECT. The weights of male and female students in a

Question

Question 4 Your answer is CORRECT. The weights of male and female students in a class are summarized in the following boxplots: Males Females 80 100 120 140 160 180 200 220 240 Weight (pounds) Which of the following is NOT correct2. a) The median weight of the male students is about 166 lbs. ) About 50% of the male students have weights between 150 and 185 lbs. The mean weight of the female students is about 120 because of symmety The male students have less variability than the female students. estion 5

Explanation / Answer

A. The median weight of the males is about 166 lbs.

This statement is true as the inner line of the box (median) for males is between 160 and 170.

B. About 50% of males have weights between 150 and 185 lbs.

This statement is true. The box itself represents values between 25% and 75% and the box corresponds to values of 150 and 185 lbs.

C. The mean weight of the female students is about 120 because of symmetry.

This statement is true. Notice that the inner line of the box is at the center and the box itself is centralized.

Therefore mean = median = 120.

D. The male students have less variability than the female students.

This statement is false. The boxplot for males is far stretched or longer indictating the presence of a great difference between values at the ends and the mean. Thus the variance, IQR, standard deviation etc is greater for males than females.

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