Introduction to Statistics — Cumulative exam Answers

A simple random sample of 10 people was asked how many first cousins they have. The results are listed below.10, 19, 20, 13, 13, 2, 10, 8, 25, 10

A visitor guide for a downtown area lists many restaurants. Which of the following is an example of a quantitative variable the guide could report for each restaurant?

A circle representing a pool is graphed with a center at the origin. Grant enters the pool at point A and swims over to a friend who is located at point B.

In some gymnastics meets, the score given to a gymnast is the mean of the judges’ scores after the highest and lowest scores have been tossed out. Nikita’s scores on the floor routine from all of the judges are shown below.7.50, 7.50, 7.75, 7.75, 8.00, 8.00, 8.00, 10.00

Nolan plots the y-intercept of a line at (0, 3) on the y-axis. He uses a slope of 2 to graph another point. He draws a line through the two points. Which equation represents Nolan’s line?

IQ scores are collected from a sample of students at a large university. The scores are shown below.99, 100, 105, 104, 102, 105, 105, 121, 104

A simple random sample of 14 students on a large university campus is asked to complete a survey. One of the questions on the survey asks for the number of credit hours for which they are currently enrolled. The results of the survey are shown below.12, 9, 13, 15, 12, 16, 19, 13, 12, 12, 16, 12, 14, 6

Thirty-six students at a large university were given a test to measure their intelligence quotient (IQ). A histogram of the IQ test scores is shown below. In each interval, the left endpoint is included in the interval, but not the right endpoint.

A 10-item statistics quiz was given to 30 students. The table below gives the scores received along with the corresponding frequencies.

The distribution of ages of runners in a marathon is approximately normal. The oldest participant was 80 and the youngest was 13. Which of the following statements is true of the mean and median ages of the runners?

Auto racing is a sport enjoyed by many people. In each race, there may be up to 25 cars on the racetrack. Which of the following is NOT an example of a quantitative variable you might use to describe a car in a race?

The president of a school club would like to purchase T-shirts for members of the club and asks members which size they would like to order. The results are shown in the graph below.

Harita must memorize 90 measures of music for her cello solo at a concert. She plans on memorizing 18 new measures for every 3 days of practice. Which equation can be used to determine m, the number of measures Harita still needs to memorize, as a function of d, the number of days of practice since she began learning the piece?

Twelve people were surveyed and asked how many people live in their residence. The results are summarized in the table below.

Grace is comparing cell phone plans. A prepaid phone plan costs $0.20 per minute and has no monthly fee. A contracted phone plan costs $50 per month and $0.02 per minute. How will the graphs of the monthly costs of the two cell phone plans compare where x represents minutes purchased in a month?

The profit earned by a hot dog stand is a linear function of the number of hot dogs sold. It costs the owner $48 dollars each morning for the day’s supply of hot dogs, buns and mustard, but he earns $2 profit for each hot dog sold. Which equation represents y, the profit earned by the hot dog stand for x hot dogs sold?

A school district wanted to compare ACT scores between two of its schools (school A and school B). The dotplots below summarize the ACT scores for simple random samples of 30 students from each school.

A 2-column table has 4 rows. The first column is labeled x with entries 1, 2, 3, 4. The second column is labeled y with entries 4.5, 6.75, 10.125, 15.1875.

Gerri purchases a coupon book with discounts for her favorite coffee shop. Every coupon for the coffee shop offers the same discount. The table shows her total savings, y, based on the number of coupons, x, used from the book.

A large city offers many venues for watching a concert. A listing of concert venues for the city includes the following information: the number of seats, the age of the venue, the number of nearby parking spaces, and the location of the venue (inside or outside). Which of the following is a categorical variable?