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 and MAD for each type of monkey.

(b) Calculate the means-to-MAD ratio for the two types of monkeys.

(c) What inference can be made about the weight of both types of monkeys? Explain.

Question

Mathematics

Jaxon Thomas

23 September, 10:15

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 and MAD for each type of monkey.

(b) Calculate the means-to-MAD ratio for the two types of monkeys.

(c) What inference can be made about the weight of both types of monkeys? Explain.

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Answers (1)

Know the Answer?

Meredith Gardner · 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.