Effects of shifting, adding, & removing a data point

A cat gave birth to 3 kittens who each had a different mass between 147 and 159 g. Then, the cat gave birth to a 4^{th} kitten with a mass of 57g.

How will the birth of the 4^{th} kitten affect the mean and median?
Choose 1 answer:

Liam works at a zoo. He was looking at some data showing the masses of their 5 African elephants. The mean mass of the elephants was 3,800 kg (kilograms), and the median mass was 3,600 kg. The heaviest elephant, named Omar, was recorded as 6,000 kg.
Liam then found out that Omar’s mass was written down incorrectly, and that Omar actually has a mass of 7,000 kg.
How will increasing Omar’s mass affect the mean and median?
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Suzanne owns a small business that employs 5 other people. Suzanne makes $100,000 per year, and the other 5 employees make between $40,000 and $50,000 per year.

Suzanne decides to leave the company and keep the other 5 salaries the same.

How will removing Suzanne’s salary from the data set affect the mean and median?
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Chucky grabbed 11 items in the grocery store that each had a different price and had a mean cost of about $4.44. On his way to the register, he gave in to an impulse to add a 12^{th}: an entire wheel of cheese that cost $39.99.

How will adding the wheel of cheese affect the mean and median?
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A small school employs 5 teachers who make between $40,000 and $70,000 per year.
The newest teacher, Valerie, decides to teach part-time which decreases her salary from $40,000 to $20,000 per year. The rest of the salaries stay the same.
How will decreasing Valerie’s salary affect the mean and median?
Choose 1 answer:

A cat gave birth to 4 kittens. Three of the kitten had a different mass between 147 and 159 g, and one kitten had a mass of 57g.

The kitten that had a mass of 57 g was then adopted, so that kitten was removed from the data set.
How will the removal of the kitten affect the mean and median?
Choose 1 answer:

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 9^{th} animal.

How does buying the horse affect the mean and median?
Choose 1 answer:

A group of 4 friends likes to golf together, and each friend keeps track of her all-time lowest score in a single round. Their low scores are all between 90 and 100, except for Angie, whose low score is 80.
Angie then golfs a great round and has a new low score of 75.
How will decreasing Angie’s low score affect the mean and median?
Choose 1 answer:

A small accounting firm has 4 accountants who each earn a different salary between $50,000 and $60,000, and 5^{th} accountant who works part-time for tax season and earn $10,000.

The firm decides to get rid of the part-time accountant and keep the other 4 salaries the same.
How will getting rid of the part-time accountant affect the mean and median?
Choose 1 answer:

Ana played 4 rounds of golf and then played her lowest round of golf with a score of 80.
The scores of the \blueD{first\ 4\ rounds} and the \purpleC{lowest\ round} are shown in the following dot plot.

How did the \purpleC{lowest\ round} affect the mean and median?
Choose 1 answer:

Liam works at a zoo. He was looking at some data showing the masses of their 5 African elephants. The mean mass of the elephants was 3,800 kg (kilograms), and the median mass was 3,600 kg. The smallest elephant, named Lola, weighed 2,700 kg.
Lola then got very sick and lost weight until her mass reached 1,800 kg.
How will Lola’s mass decreasing affect the mean and median?
Choose 1 answer:

Chucky grabbed 12 items in the grocery store that each had a different price and had a mean cost of about $7.41.. One of the items was an entire wheel of cheese that cost $39.99.

Chucky then decided to put the wheel of cheese back and only buy the other 11 items.
How will removing the wheel of cheese affect the mean and median?
Choose 1 answer?

An art collector had 6 paintings and then bought a new painting for $100,000.
The value of the \blueD{original\ 6\ painting}  and the \purpleC{new\ painting} are shown in the following dot plot.

How will buying the \blueD{new\ painting} affect the mean and median?
Choose 1 answer:

A group of 4 friends likes to bowl together, and each friend keeps track of his all-time highest score in a single game. Their high scores are all between 180 and 220, except for Adam, whose high score is 250.
Adam then bowls a great game and has a new high score of 290.
How will increasing Adam’s high score affect the mean and median?
Choose 1 answer:

Ana played 5 rounds of golf, and her lowest score was an 80.
The scores of the \blueD{4\ rounds} and the \purpleC{lowest\ round} are shown in the following dot plot.

A small accounting firm has 4 accountants who each earn a different salary between $50,000 and $60,000.For extra help during tax season, they hire a 5^{th} accountant who earns $10,000.

How will hiring the 5^{th} accountant affect the mean and median?
Choose 1 answer:

Suzanne owns a small business that employs 5 other people. Suzanne makes $100,000 per year, and the other 5 employees make between $40,000 and $50,000 per year.
Suzanne decides to increase her salary by $30,00 per year and leave the rest of the salaries the same.
How will increasing her salary affect the mean and median?
Choose 1 answer: