Topic Test Answers

What are the mean and mode of the data set?37293639433229

Consider the following graph, which details one bookstore’s sales over the course of one day, divided by genre. By percent, how much greater do sales of horror books appear to be than sales of cookbooks? How much greater are they in reality? a. There appear to be 50% more sales of horror books than cookbooks, but there are really only about 20% more. b. There appear to be 40% more sales of horror books than cookbooks, but there are really only about 5% more. c. There appear

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?

Jasmine set up counters at four major intersections, keeping track of how many cars passed by each on a daily basis over the course of several days. Her findings are shown in the chart below. Which intersection had the greatest number of increases in traffic from day to day?

The following graph shows the size of minnows that were caught over the course of a day. During which interval were the most minnows caught?

Year

Rex is currently taking physics as one of his electives in school. His grade at the end of the year is determined by the average of four exams, each worth 100 points. On his first test he got an 84, on his second he got a 86, and on his third an 92. What must he score on his fourth exam to get an A (90%) in the course?

I.

A high school guidance counselor wants to find the probability that students who study geometry as freshmen will go on to study calculus before graduating. To do this, he has constructed a table, shown below, which shows the number of students who study geometry as freshmen in a given year, and the number of those students who study calculus before graduating.Year200020012002200320042005Geometry Students680577822743859804Calculus Students391336512374465361Which year had the highest experimental probability that a freshman studying geometry would take a calculus class before graduation?

What kind of graph is shown below?

A certain company gives its salespeople a bonus every six months. This bonus is calculated by averaging (taking the mean of) the four middle monthly sales values (that is, ignoring the highest and lowest) from the six-month window, taking 12% of the result, and splitting it evenly among the salespeople. The graph below shows sales for the most recent bonus period. If there are five salespeople, how much money will each one receive, to the nearest dollar?

What is the first step in the decision-making process, and why is it important?

Sharon is considering trying to open a new business within the next few years, and she is doing research to determine what kind of businesses tend to be successful. So far, she has compiled two tables. 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. Type Food Retail Financial Service Opened 3,193 2,280 1,898 5,045 Closed 1,977 1,626 1,443 3,548 Up to $25k $25-50k $50-75k $75-100k Over $100k Food 945 623 601 258 114 Retail 813 548 347 188 63 Financial 316 244 195 86 51 Service 979 739 432 174 124 Using the tables as experimental data, determine whether it is more likely for a new retail establishment to succeed and earn profits of $50,000 or more, or whether it is more likely for a new service establishment to succeed and earn profits of $25,000 or less, and how much more likely the one situation is than the other. Express all probabilities as percentages to two decimal places, and express differences by number of percentage points (for example, 23% is 5 percentage points greater than 18%).

What kind of graph is characterized by presenting values as coordinate points without any connecting element?

Say that you put the set of tiles shown below into a bag and conduct a series of trials in which you draw one tile randomly from the bag, record the color, and replace it. The table below shows the number of times in each set of trials that you drew a blue tile. Trial 1 2 3 4 5 # of Draws 60 157 49 105 81 # of Blues 13 19 7 10 11 Between the theoretical probability that you will draw a blue tile and the experimental probability that you will draw a blue tile, which is greater, and how much greater is it? Express all probabilities as percentages to two decimal places, and express differences by number of percentage points (for example, 12% is 2 percentage points greater than 10%).

You are in charge of managing the advertising for a restaurant. You are able to buy up to 62 advertisements a month, and your data from the previous month shows that you need to buy at least 5 newspaper ads for every 3 television ads to draw in the most customers. What is the greatest number of newspaper and television ads you could buy?

Barry put all of the tiles shown below into a bag, then randomly pulled out one round one and one square one. What is the probability that Barry drew two red tiles?

Rachel has just completed a study of precipitation in three different locations over the course of a year. The data she wishes to present in graph form is shown in the table below, with precipitation listed in inches. BostonPhoenixMinneapolisJanuary3.270.451.04February3.440.48.76March3.100.711.12April3.890.312.10May3.750.173.15June3.120.095.11July2.980.115.78August3.070.334.65September3.150.523.61October3.550.403.22November3.420.422.34December3.440.291.84Rachel wants her graph to emphasize the relation of each city’s precipitation to each other city’s at each point in time. What kind of graph would be appropriate?