listed below are pulse rates (beats per minute) from samples of adult males and females. find the mean and…

listed below are pulse rates (beats per minute) from samples of adult males and females. find the mean and median for each of the two samples and then compare the two sets of results. does there appear to be a difference? male: 66 86 53 71 90 62 60 54 62 57 53 58 57 93 73 female: 82 62 85 89 79 78 91 76 95 68 65 89 72 63 69 find the medians. the median for males is 62 beats per minute and the median for females is 78 beats per minute. (type integers or decimals rounded to one decimal place as needed.) compare the results. choose the correct answer below. a. the mean is lower for males, but the median is lower for females. b. the median is lower for males, but the mean is lower for females. c. the mean and the median for females are both lower than the mean and the median for males. d. the mean and median appear to be roughly the same for both genders. e. the mean and the median for males are both lower than the mean and the median for females.
Answer
Explanation:
Step1: Calculate male median
Arrange male pulse - rates in ascending order: 53, 53, 54, 57, 57, 58, 60, 62, 62, 71, 73, 86, 86, 90, 93. There are (n = 15) values. The median is the (\left(\frac{n + 1}{2}\right))-th value. (\frac{15+1}{2}=8)-th value, so the male median is 62.
Step2: Calculate female median
Arrange female pulse - rates in ascending order: 62, 63, 65, 68, 69, 72, 76, 78, 79, 82, 85, 89, 89, 91, 95. There are (n = 15) values. The median is the (\left(\frac{n + 1}{2}\right))-th value. (\frac{15 + 1}{2}=8)-th value, so the female median is 78.
Step3: Analyze the comparison
The male median (62) is lower than the female median (78).
Answer:
A. The mean is lower for males, but the median is lower for females.