Question

3. A wildlife refuge in South America has howler monkeys and spider monkeys. A biologist working there randomly selected eight adults of each type of monkey, weighed them, and recorded their weights in pounds. howler monkey: {15, 16, 17, 17, 17, 17, 18, 19} spider monkey: {12, 13, 13, 14, 14, 14, 16, 16} (a) Calculate the mean for each type of monkey. (b) Determine the median, mode, and range for each type of monkey. (c) What inference can be made about the weight of both types of monkeys based on the mean? Explain. Answer: a) Mean for Howler Monkey: Mean for Spider Monkey: b) Median for Howler Monkey: Median for Spider Monkey: Mode for Howler Monkey: Mode for Spider Monkey: Range for Howler Monkey: Range for Spider Monkey: c) What inference can be made from the mean of the monkeys

Answer 1

Given:

howler monkey: {15, 16, 17, 17, 17, 17, 18, 19}
spider monkey: {12, 13, 13, 14, 14, 14, 16, 16}

The mean of the first set (howler monkey) = (15 + 16 + 17 + 17 + 17 +17 + 18 + 19)/ 8 
The sum of all weights is divided by the number of monkeys weighed (n = 8)

mean = 17

Do the same for the second set (spider monkey) = 12+ 13 + 13+ 14 + 14+ 14 +14 +16 + 16 / 8

mean = 15.75

The ratio of the two is 17:15.75 or 1.08 is to 1.