AP STATS TEST
Which of the following variables for data about a track team is a discrete variable? A The height of a team member B The weight of a team member C The number of times that a team member finished first in a race D The time recorded for the last race that was run by a team member E The time recorded for a one-mile race by a team member
Answer C The number of times that a team member finished first in a race is a count and is a discrete number.
A local ice-cream shop sells ice-cream cones for $2.00, and customers can choose from the following options. Ice-cream flavor Type of cone: sugar or waffle Chocolate dipped for an additional $0.50 Sprinkles for an additional $0.50 Which of the following is a quantitative variable? A Ice-cream flavor B Type of cone C Chocolate dipped or not D Sprinkles or not E The total cost of the cone
Answer E Correct. A quantitative variable is one that takes on numerical values for a measured or counted quantity. The total cost of the cone is a quantitative variable since it can assume different numerical values representing the cost of each cone. The total cost of a cone could be $2.00 (ice cream in cone only), $2.50 (ice cream with sprinkles only or ice-cream cone with chocolate only), or $3.00 (ice-cream cone that is both chocolate dipped and has sprinkles).
Data are collected on the 35 students in a college history course. Which of the following is not a variable for the data set? A Student birth month B Political affiliation of student C Student age D Student address E Number of students in the data set
Answer E Correct. A variable is a characteristic that can vary from student to student. The number of students in the data set is a single, fixed value (35).
The traffic engineer for a large city is conducting a study on traffic flow at a certain intersection near the city administration building. The engineer will collect data on different variables related to the intersection each day for ten days. Of the following variables, which will be measured using continuous data? A The number of cars passing through the intersection in one hour B The number of pedestrians crossing the intersection in one hour C The number of bicyclists crossing the intersection in one hour D The number of food trucks that park within four blocks of the intersection E The number of minutes for a car to get from the intersection to the administration building
Answer E Correct. The number of minutes is a continuous variable. Between any two minutes, fractions of a minute can always be recorded.