CHAPTER 5 TEST

Megan purchases a used car in Defiance County for $9,200. The sales tax rate in Defiance County is 6.75%. What is the total sales tax Megan pays, and how much of this is allocated to the state of Ohio (5.75%)?

• $621 total; $529.00 to the state

• $621 total; $92.00 to Defiance County

• $621 total; $575.00 to the state

• $500 total; $400.00 to the state

Megan purchased the same car for $9,200 in Indiana, where the sales tax rate is 7%, how much more would she pay in total sales tax compared to her purchase in Defiance County? [the sales tax rate in Defiance County is 6.75%]

• $0 more

• $23 more

• $50 more

• $92 more

What is the primary purpose of identifying and removing outliers from a dataset when analyzing statistics like mean, median, and range?

• To reduce the number of data points for easier calculations

• To ensure the histogram becomes symmetrical

• To minimize the distortion of the mean and improve accuracy in interpretation

• To remove values that fall outside the range of the histogram

In a histogram showing the prices of used cars, most of the data is concentrated on the left (lower prices), with a few higher prices creating a long tail to the right. What type of data distribution does this describe?

• Symmetrical Distribution

• Left-skewed (Negative Skew)

• Right-skewed (Positive Skew)

• Normal Distribution

HISTOGRAM:

A dataset of used car prices includes the following values (in dollars): 18000, 18500, 19000, 19500, 20000, 20500, 21000, 22000, 23000, 24000, 25000, 26000, 27000, 28000, 29000, 30000, 60000, 65000.

Identify Outliers: Use the threshold formulas.

Which prices are considered outliers?

Recalculate Statistics Without Outliers: Calculate the new mean and median after removing the outliers.

• Outliers:

  $60,000 and $65,000;

  New Mean: $24,541; New Median: $24,000

• Outliers: $65,000; New Mean: $25,839; New Median: $24,000

• Outliers:

  $60,000 and $65,000;

  New Mean: $23,156.25; New Median: $22,500

• Outliers: $60,000; New Mean: $25,303 New Median: $25,000

BOX PLOT:

A dataset contains the following values in dollars: 45000, 47000, 48000, 50000, 51000, 53000, 55000, 58000, 60000, 62000, 65000, 130000.

Using this data: Calculate Q1, Q2 (Median), Q3, and the IQR.

Determine the lower and upper fences using the IQR.

Identify the outliers.

• Q1: $48,500; Q2: $55,000; Q3: $60,500; IQR: $12,000; Outliers: $130,000

• Q1: $49,000; Q2: $54,000; Q3: $61,000; IQR: $12,000; Outliers: $130,000

• Q1: $47,500; Q2: $51,000; Q3: $60,000; IQR: $12,500; Outliers: None

• Q1: $47,000; Q2: $55,000; Q3: $62,000; IQR: $15,000; Outliers: None

Which of the following is true about liability insurance?

• It only covers the policyholder's injuries and vehicle damage.

• It covers the policyholder’s injuries and medical expenses for passengers in their car.

• It covers third-party property damage and injuries caused by the policyholder if they are at fault.

• It pays for the policyholder's lost wages if injured in an accident.

A driver in Ohio with the state minimum coverage causes an accident. The total damage includes: $20,000 in injuries for one person. $30,000 in injuries for another person. $40,000 in property damage. How much of the property damage will the insurance cover?

• $25,000

• $40,000

• $50,000

• None

Which type of insurance covers the cost of a rental car while the policyholder's vehicle is being repaired after an accident?

• Collision Insurance

• Comprehensive Insurance

• Car Rental Insurance

• Emergency Roadside Service Insurance

In a no-fault state like Michigan, who is responsible for covering medical expenses after an accident?

• The at-fault driver’s insurance always covers medical expenses for all parties involved.

• Each driver's insurance covers their medical expenses regardless of fault.

• The policyholder’s liability insurance covers their medical expenses.

• Uninsured Motorist Protection covers all medical costs for both drivers.