Question

Compare the weight for males and females, explain central tendency and variation of both, as well as shape and outliers.

75 70 65 60 iek 50 Ai Female Male Sex

Answer 1

Female: Female dataset includes the four outlier observation at the left tail. Hence, the best measure of central tendency is median because it has less effect by outliers compared with other measures of central tendencies. Similarly, the male dataset includes the eleven outlier observation at the left and four outlier observation at the right tail. Hence, the best measure of central tendency is median because it has less effect by outliers compared with other measures of central tendencies. Between the female and male, the male has a bigger value of central tendency but both the datasets have similar spreads, so both of them have similar variance value.

The female variable has a positive skewness and the male variable has negative skewness. The female variable has outlier only at the left tail but the male variable has outlier at both the left and right tails.