Unit 4 Test

Instructions

You may use a calculator.  All cell phones must be silenced and put away in your backpack.

2.5

The YMCA did a sample survey to see if there was an interest in starting a Rugby program for boy and girl athletes. The results were broken down by gender in the following two-way table.

Fill-in the totals, and answer questions 2-6 based on the data in the table.

1

What percentage of athletes are boys? If needed, round to the nearest tenth of a percent.

1

What percentage of boy athletes said they liked Rugby? If needed, round to the nearest tenth of a percent.

1

A youth athlete is chosen at random at the YMCA. What is the probability that the athlete chosen is a girl? Round to the nearest percent.

1

A youth athlete is chosen at random at the YMCA. What is the probability that the athlete chosen, given they are a girl, likes Rugby? Round to the nearest whole percent.

1

A youth athlete is chosen at random at the YMCA. What is the probability that the athlete chosen, given they like rugby, is a girl? Round to the nearest whole percent.

Yellowstone National Park was designated a national park in 1872.  It is 3,471 square miles of natural habitat and home to 67 species of mammals.  

Answer questions 7-10 about the Yellowstone Nation Park.

1

In recent years, the population of elk has been about 10,000 in Yellowstone National Park during the summer. What is the population density of elk per square mile?

1

In the summer, the population of mule deer is about 3,000 in Yellowstone National Park. What is the population density of deer per square mile?

1

Using your answers from questions 7 and 8, determine how many more times dense the elk population is compared to the deer population in Yellowstone.

1

What is the price per a square foot for this 3,247 ft2 home in Yellowstone, MT?
Label and round your answer to the nearest penny.

1

Google Map of Tremper to Central High School

Calculate the average miles per hour to travel 15.8 miles from Tremper to Central High School in 24 minutes.

1

In a college travel club, 17 students voted on 3 destinations for spring break: San Diego, Lake Havasu, and Rocky Point. Use the results of their choices shown in the preference table below to answer questions 12-14.

How many votes are needed to win a simple majority in this election?

2

Since no location had a simple majority after counting the 1st choice votes, employ the Instant Runoff Method to determine the winning destination for spring break. Which location wins the instant runoff?

2

If the travel club were to use the Borda Count Method instead of an Instant Runoff to determine the destination for their spring break, would the outcome be the same? Use the following weight system to determine the number of points each location receives and the winning location.  
Use the following weight system: 
3 points for 1st choice, 2 points for 2nd choice, and 1 point for 3rd choice.
_______ points for San Diego
_______ points for Lake Havasu
_______ points for Rocky Point

Consider the following district map with 5 districts. The red squares represent Party A voters, and the blue squares represent Party B voters.  Each district has 5 voters.

Answer the following questions based on the district map above. Note Party B voters are labeled with a lower case b.

2

Fill in the blank:
Party A has _______ percent of the voters in the district map.  
Party B has_______ percent of the voters in the district map.

2

Fill in the blank:
Party A has _______ percent of the districts in the map.  
Party B has_______ percent of the districts in the map.

1

Based your percentages, decide if the district map is fair. Explain your answer using complete sentences.

2

Calculate the EG. Based on your EG, decide if the map is fair in terms of waisted votes. Explain your answer using complete sentences.

2

Calculate the Polsby-Popper Score (PPS) for district #1. Based on your PPS, decide if the district is fair based on compactness. Explain your answer using your PPS and complete sentences.

1

BONUS: Calculate the Reock Ratio (RR) for district #1. Based on your RR, decide if the district is fair based on compactness. Explain your answer using your RR and complete sentences.

,where r is the radius of the circle encompassing the district.

Unit 4 Test

The YMCA did a sample survey to see if there was an interest in starting a Rugby program for boy and girl athletes. The results were broken down by gender in the following two-way table.Fill-in the totals, and answer questions 2-6 based on the data in the table.

What percentage of athletes are boys? If needed, round to the nearest tenth of a percent.

What percentage of boy athletes said they liked Rugby? If needed, round to the nearest tenth of a percent.

A youth athlete is chosen at random at the YMCA. What is the probability that the athlete chosen is a girl? Round to the nearest percent.

A youth athlete is chosen at random at the YMCA. What is the probability that the athlete chosen, given they are a girl, likes Rugby? Round to the nearest whole percent.

A youth athlete is chosen at random at the YMCA. What is the probability that the athlete chosen, given they like rugby, is a girl? Round to the nearest whole percent.

In recent years, the population of elk has been about 10,000 in Yellowstone National Park during the summer. What is the population density of elk per square mile?

In the summer, the population of mule deer is about 3,000 in Yellowstone National Park. What is the population density of deer per square mile?

Using your answers from questions 7 and 8, determine how many more times dense the elk population is compared to the deer population in Yellowstone.

What is the price per a square foot for this 3,247 ft2 home in Yellowstone, MT?Label and round your answer to the nearest penny.

Google Map of Tremper to Central High SchoolCalculate the average miles per hour to travel 15.8 miles from Tremper to Central High School in 24 minutes.

In a college travel club, 17 students voted on 3 destinations for spring break: San Diego, Lake Havasu, and Rocky Point. Use the results of their choices shown in the preference table below to answer questions 12-14.How many votes are needed to win a simple majority in this election?

Since no location had a simple majority after counting the 1st choice votes, employ the Instant Runoff Method to determine the winning destination for spring break. Which location wins the instant runoff?

Based your percentages, decide if the district map is fair. Explain your answer using complete sentences.

Calculate the EG. Based on your EG, decide if the map is fair in terms of waisted votes. Explain your answer using complete sentences.

Calculate the Polsby-Popper Score (PPS) for district #1. Based on your PPS, decide if the district is fair based on compactness. Explain your answer using your PPS and complete sentences.

BONUS: Calculate the Reock Ratio (RR) for district #1. Based on your RR, decide if the district is fair based on compactness. Explain your answer using your RR and complete sentences.,where r is the radius of the circle encompassing the district.

The YMCA did a sample survey to see if there was an interest in starting a Rugby program for boy and girl athletes. The results were broken down by gender in the following two-way table.Fill-in the totals, and answer questions 2-6 based on the data in the table.

What percentage of athletes are boys? If needed, round to the nearest tenth of a percent.

What percentage of boy athletes said they liked Rugby? If needed, round to the nearest tenth of a percent.

A youth athlete is chosen at random at the YMCA. What is the probability that the athlete chosen is a girl? Round to the nearest percent.

A youth athlete is chosen at random at the YMCA. What is the probability that the athlete chosen, given they are a girl, likes Rugby? Round to the nearest whole percent.

A youth athlete is chosen at random at the YMCA. What is the probability that the athlete chosen, given they like rugby, is a girl? Round to the nearest whole percent.

In recent years, the population of elk has been about 10,000 in Yellowstone National Park during the summer. What is the population density of elk per square mile?

In the summer, the population of mule deer is about 3,000 in Yellowstone National Park. What is the population density of deer per square mile?

Using your answers from questions 7 and 8, determine how many more times dense the elk population is compared to the deer population in Yellowstone.

What is the price per a square foot for this 3,247 ft2 home in Yellowstone, MT?Label and round your answer to the nearest penny.

Google Map of Tremper to Central High SchoolCalculate the average miles per hour to travel 15.8 miles from Tremper to Central High School in 24 minutes.

In a college travel club, 17 students voted on 3 destinations for spring break: San Diego, Lake Havasu, and Rocky Point. Use the results of their choices shown in the preference table below to answer questions 12-14.How many votes are needed to win a simple majority in this election?

Since no location had a simple majority after counting the 1st choice votes, employ the Instant Runoff Method to determine the winning destination for spring break. Which location wins the instant runoff?

Based your percentages, decide if the district map is fair. Explain your answer using complete sentences.

Calculate the EG. Based on your EG, decide if the map is fair in terms of waisted votes. Explain your answer using complete sentences.

Calculate the Polsby-Popper Score (PPS) for district #1. Based on your PPS, decide if the district is fair based on compactness. Explain your answer using your PPS and complete sentences.

BONUS: Calculate the Reock Ratio (RR) for district #1. Based on your RR, decide if the district is fair based on compactness. Explain your answer using your RR and complete sentences.,where r is the radius of the circle encompassing the district.

The YMCA did a sample survey to see if there was an interest in starting a Rugby program for boy and girl athletes. The results were broken down by gender in the following two-way table.

Fill-in the totals, and answer questions 2-6 based on the data in the table.

What is the price per a square foot for this 3,247 ft2 home in Yellowstone, MT?
Label and round your answer to the nearest penny.

Google Map of Tremper to Central High School

Calculate the average miles per hour to travel 15.8 miles from Tremper to Central High School in 24 minutes.

In a college travel club, 17 students voted on 3 destinations for spring break: San Diego, Lake Havasu, and Rocky Point. Use the results of their choices shown in the preference table below to answer questions 12-14.

How many votes are needed to win a simple majority in this election?

BONUS: Calculate the Reock Ratio (RR) for district #1. Based on your RR, decide if the district is fair based on compactness. Explain your answer using your RR and complete sentences.

,where r is the radius of the circle encompassing the district.

The YMCA did a sample survey to see if there was an interest in starting a Rugby program for boy and girl athletes. The results were broken down by gender in the following two-way table.

Fill-in the totals, and answer questions 2-6 based on the data in the table.

What is the price per a square foot for this 3,247 ft2 home in Yellowstone, MT?
Label and round your answer to the nearest penny.

Google Map of Tremper to Central High School

Calculate the average miles per hour to travel 15.8 miles from Tremper to Central High School in 24 minutes.

In a college travel club, 17 students voted on 3 destinations for spring break: San Diego, Lake Havasu, and Rocky Point. Use the results of their choices shown in the preference table below to answer questions 12-14.

How many votes are needed to win a simple majority in this election?

BONUS: Calculate the Reock Ratio (RR) for district #1. Based on your RR, decide if the district is fair based on compactness. Explain your answer using your RR and complete sentences.

,where r is the radius of the circle encompassing the district.