G7 Jeopardy 5/27

Data

Quadratics

Linear

Random

100

What numbers are included in the 5-number summary?

min, Q1, median, Q3, max

100

Solve: x² - 2x + 1 = 0

x = 1

200

Which way of representing data uses the 5-number summary?

Boxplot

200

Solve: x² + 7x + 12 = 0

x = -4, -3

200

How many km from Qionghai to Chengdu? (3 guesses, must be within 50 km to get points)

1387 km

300

Q3 - Q1 =

Max - Min =

Q3 - Q1 = IQR

Max - Min = Range

300

Solve: x² - 4x - 6 = 0

x = 2 +/- sqrt(10)

300

Double Points - Write in SI Form on the board

a) y + 6 = 2(x + 8)

b) y - 7 = -3(x + 6)

c) y + 1/3 = -6(x - 1/5)

d) y - 2.5 = 1/8(2/3 + x)

a) y + 6 = 2(x + 8) -> y = 2x + 10

b) y - 7 = -3(x + 6) -> y = -3x - 11

c) y + 1/3 = -6(x - 1/5) -> y = -6x + 13/15

d) y - 2.5 = 1/8(2/3 + x) -> y = 1/8x + 31/12

300

What year was basketball invented? (3 guesses, any guess within 10 years gets credit)

1891

400

6 teams entered a business competition. One team earned $200,000. Another team earned $120,000. Two teams earned $75,000. Another team earned $50,000. And one team lost $20,000,000.

Is there an outlier in the data? Explain how you know.

Yes. Q1 - 1.5(IQR) = 50,000 - 1.5(70,000) = -55,000

-20,000,000 < -55,000, so -20,000,000 is an outlier

400

Solve and find the vertex (2x + 6)(-x + 8)

Solve and find the vertex (2x + 6)(-x + 8) = -2x² + 10x + 48

x = -3, 8

vertex: (2.5, 60.5)

400

What's the population of Africa?

1,544,773,123

500

6 teams entered a business competition. One team earned $200,000. Another team earned $120,000. Two teams earned $75,000. Another team earned $50,000. And one team lost $20,000,000.

Next competition, the -$20,000,000 team was replaced with a team that made over $200,000, while the other teams made the same. How much would the new team need to make in order to be a high outlier?

6 teams entered a business competition. One team earned $200,000. Another team earned $120,000. Two teams earned $75,000. Another team earned $50,000. And one team lost $20,000,000. Next competition, the -$20,000,000 team was replaced with a team that made over $200,000, while the other teams made the same. How much would the new team need to make in order to be a high outlier?

[50,000, 75,000, 75,000, 120,000, 200,000, x]

IQR = 200,000 - 75,000 = 125,000

200,000 + 1.5(125,000) = 387,500, so 387,501

500

Solve and find the vertex: 3x² + 2x - 4 = 0

x = -1/3 +/- sqrt(13)/3

vertex: (-1/3, -13/3)