Topic Test Answers

What is an advantage that experimental probability has over theoretical probability?

Lisa is currently taking physics as one of her electives in school. Her grade at the end of the year is determined by the average of four exams, each worth 100 points. On her first test she got an 84, on her second she got a 92, and on her third an 80. What must she score on her fourth exam to get exactly 80% in the course?

You are the manager of a clothing store. You must decide how many of your employees to put on the sales floor, and how many to put on the register. Because employees on the sales floor cause customers to buy more products, if you do not have at least 2 employees on the register for every 5 employees working on the sales floor, your registers will get very clogged and you will lose business. You have a total of 84 employees, and you wish to have as many on the sales floor as possible. How should you divide your employees?

Harold randomly selected one square tile and one round tile from the sets shown below. What is the probability that Harold selected a pink square tile, and either a red or a blue round tile?

Natasha is a regional manager for a chain of supermarkets. She has been tasked with researching the weekly sales records of two branch locations over the past month, which she must present to her board of directors. She was able to assemble the relevant information in the table below, but it is scrambled and hard to read. Sales are listed in thousands of dollars. Week 4 1 1 3 4 2 3 2 Sales 16.3 17.8 23.1 15.2 20.2 23.4 22.9 17.6 Branch North South North South South North North South In order to make the data more readable, Natasha has decided to put it into a graph. Which of the following graphs accurately matches the information in the table? I. II. III. IV.

The two tables below show the success rates of several groups of businesses in a certain city. The first shows the number of businesses of several types started in Sharon’s city over the course of two years, and the number of those businesses which did not succeed and were forced to shut down within two years of opening. The second deals with separate records of successful new businesses, showing how much profit those new businesses turned over two years. Businesses on the boundary lines fall in the lower category.TypeFoodRetailFinancialServiceOpened3,1932,2801,8985,045Closed1,9771,6261,4433,548 Up to $25k$25-50k$50-75k$75-100kOver $100kFood945623601258114Retail81354834718863Financial3162441958651Service979739432174124Using the tables as experimental data, determine which of the following situations have a probability of at least 15.00%.I. a food establishment succeeding and earning $50,000 or moreII. a service establishment succeeding and earning between $25,000 and $75,000III. a retail establishment succeeding and earning no more than $50,000

Consider the following graph, which shows a bookstore’s sales over the course of one day. By percent, how much smaller does the sale of horror books appear to be than the sale of fantasy books? How much smaller is it in reality?

Consider the following graph, which details the observed bear population in two national parks. Of the following, which option or options would help make this graph less misleading? I. The scale on the x-axis should be resized. II. The scale on the y-axis should be resized. III. The identity of the two parks should be more clearly differentiated.

The following chart represents the record high temperatures recorded in Phoenix for April-November. Select the answer below that best describes the mean and the median of the data set (round answers to the nearest tenth).

Consider the following graph, which details the population of a city over time. What aspect of the graph is likely being emphasized by the choice of graph style, choice of scale, and so on?

As a manager of a restaurant, you are working on creating a graph to demonstrate the makeup of your staff. The data you are to present is shown in the table below.TaskEmployees on TaskTable waiting8Food preparation14Cleanup6Supervision4If you wish to emphasize the relation of each group to the whole, what kind of graph would be appropriate?

What kind of graph is characterized by presenting data values as portions of a circle?

The table shown below details the observed amount of electricity consumed by the average American over the course of one year, as measured in kilowatt-hours. Month Usage (kWh) Jan-Feb 2,239 Mar-Apr 2,197 May-Jun 2,113 Jul-Aug 2,156 Sep-Oct 2,269 Nov-Dec 2,270 Kevin is trying to display this information in the form of a graph. He would like the graph to look like the one below. What scale should Kevin use on the y-axis to display the information on the table like the graph?

Jake has decided to give a bonus to the employee who has worked the greatest total number of hours over the past six months. Four candidates are currently up for consideration. The following graph shows how many hours each one has worked over the past six months. To which employee will Jake give the bonus?

The following graph details the number of performances of plays a Shakespearean acting company has performed over the past five years. If the company has performed 147 times in the past five years, how many times have they performed Othello? Round to the nearest whole performance, if necessary.

The table below shows data on the number of emergency room admissions recorded over the span of one shift. Time 6a 7a 8a 9a 10a 11a 12p 1p 2p Patients 14 15 14 18 10 10 11 16 8 Which of the following graphs displays the same information as that shown in the table? I. II. III.

Lisa is a leading player on her basketball team. She has kept track of how many points she has scored over the course of the season. Her scores may be viewed in the table below. 36203513301436112919224034172621What is the median of Lisa’s scores? Round to the nearest point, if necessary.

You are the manager of a retail store, and you have been tasked with finding the return rate on a certain brand of laptop computers. You have assembled the data on the number of computers sold and the number returned over the past six months in the table below.MonthOctNovDecJanFebMarSold1,6211,7521,8481,6341,7251,780Returned223415421560330304Using the table as experimental data, if your store has 379 laptops returned in April, how many laptops are likely to have been sold in April?

What are the median and mode of the data set?48253446292746

Tony is the staff manager of a movie theater, and he is trying to decide which shifts should have the greatest number of employees on staff. Over the course of a week, Tony recorded how many customers appeared during each shift, the results of which can be seen in the graph below. Tony wants the distribution of his employees to match the distribution of the customers. If Tony has 230 total employees, how many should he assign to the 1:00 p.m. shift?