Question

Brandon works at a small petting zoo with 888 animals. He was looking at some data showing the masses of the animals. Each animal had a different mass between 222 and 160\,\text{kg}160kg160, start text, k, g, end text. The zoo then buys a horse that weighs 900\,\text{kg}900kg900, start text, k, g, end text as their 9^{\text{th}}9 th 9, start superscript, start text, t, h, end text, end superscript animal. [Show data] 22 33 55 77 2727 3636 4545 160160 900900 How does buying the horse affect the mean and median? Choose 1 answer: Choose 1 answer: (Choice A) A Both the mean and median will increase, but the median will increase by more than the mean. (Choice B) B Both the mean and median will increase, but the mean will increase by more than the median. (Choice C) C Both the mean and median will decrease, but the median will decrease by more than the mean. (Choice D) D Both the mean and median will decrease, but the mean will decrease by more than the median.

Answer 1

B

Explanation:

Answer 2

B Both the mean and median will increase, but the mean will increase by more than the median

Explanation:

Revised question

Brandon works at a small petting zoo with 8 animals. He was looking at some data showing the masses of the animals. Each animal had a different mass between 2 and 160 kg. The zoo then buys a horse that weighs 900 kg as their 9th animal.

Animal Weight (in kilograms)

• chicken 2
• duck 3
• goose 5
• barn cat 7
• dog 27
• goat 36
• lamb 45
• pig 160
• horse 900

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Solution

Data ordered

• 2, 3, 5, 7, 27, 36, 45, 160

Mean

• (2+3+5+7+27+36+45+160)/8 = 35.625

Median, average of middle terms as even data:

• (7+27)/2 = 17

Horse added

Mean has increased significantly

• (2+3+5+7+27+36+45+160+900)/9 = 131.667

Median

• moved to right and become 27 since number become odd

Based on above we can say that:

• Both the mean and median will increase, but the mean will increase by more than the median