Analyzing Business Data TOPIC TEST

Abger Electronics, a retail store, restructures its employees' schedules every six months. The employees are asked for their shift preferences, and the schedules are rearranged according to these preferences. When there is a conflict, those with the best total sales over the past six months are given priority. The following graph and table show the most recent sales records and employee preferences, respectively.

A

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.

A

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.

A

Which of the following is not a way Ian Dicker claims a Business Intelligence Dashboard will help you to make good business decisions?

A

A restaurant manager wanted to get a better understanding of the tips her employees earn, so she decided to record the number of patrons her restaurant receives over the course of a week, as well as how many of those patrons left tips of at least 15%. The data she collected is in the table below.

A - Sunday

Hector has started growing orchids in a greenhouse. He has kept a record how many new blossoms his orchids have grown each week, which may be seen in the graph below.

B

The following graph details the number of performances of plays a Shakespearean acting company has performed over the past five years.

B

The following graph displays the number of bushels of apples produced by a small orchard over the course of several months.

B

The following graph shows Caroline's sales records since she started her position 22 months ago.

B

The following graphs show the respective sales data of two store branches, east and west. All profits are listed in thousands of dollars. Which graph does not show the same data as the others?

B

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.

B

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?

B - 14/60

In order to better decide how to market a new line of clothing, Mary is researching the demographics of the customers of a certain clothing store. She counted the number of customers who visited the store over the course of a month, and found out how many of the customers were high school students. Her collected data is in the table below.

B - 2,392

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. What is the median of Lisa's scores? Round to the nearest point, if necessary.

B - 24

Katie works as a waitress and records her monthly tips in the table shown below. If Katie decided not to work the month of November, how would her five month average compare to her six month average for monthly tips?

B - Her monthly average would have increased by $19.57.

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).

B - The mean is 121°F, and the median is 118.5°F.

Which of the following is a pair of events which are dependent on one another?

B - drawing a pair of cards from a deck

In the decision-making process, why is it important to gather relevant information before making a decision?

C

It is the policy of stores owned by the Talkara Co. to give out bonuses to salespeople every six months. The size of the bonus is determined by averaging (taking the mean of) the two highest and the lowest monthly sales totals from the six-month period, taking 8% of the result, and splitting it evenly among the salespeople. The graph below shows sales for the most recent bonus period.

C

Which part of the decision-making process is directly related to brainstorming?

C

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?

C

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.

C - 1,743

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

C - It is not always possible to calculate theoretical probability in complex situations, but experimental probability can be calculated any time experiments can be run.

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. 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%).

C - The experimental probability is 4.06 percentage points greater than the theoretical probability.

Terrence is playing a game in which he will randomly select one square tile and one round tile from the tile sets shown below. Before he does so, he tries to guess which tiles he will draw. Of the four possible guesses listed below, which will give Terrence the highest chance of success?

C - green, brown, or white square tile and black or white round tile

What are the mean, median, and mode of the following data set?

C - mean: 9/20, median: 2/5, mode: 3/4

Which of the following is a pair of events which are mutually exclusive?

C - sleeping in late and waking up early

If a letter of the alphabet is chosen at random, what is the probability that it will be a vowel? (Y is not a vowel.)

D

In the article, "Visual Business Intelligence", Stephen Few claims that visualization analysis and presentation tools are important to a business decision-maker since they _____.

D

Matt has four orange trees, one at each corner of his yard (northeast, northwest, southeast, and southwest). The following graph shows the fruit production of each tree over the course of several years.

D

The following graph shows the sales records of four employees over a period of six months.

D

Sarah is saving for a vacation. She kept track of how much she saved each month over the last six months in the following table. What did Sarah save per month on average?

D - $118.83

Carolyn selected a tile randomly from the set shown below. What is the probability that she selected a white tile or a tile with an even number?

D - 9/20

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.

D - III only

Which of the following is a reason people sometimes use mean or median to misrepresent the "average" of a set of data?

D - In data sets with outliers, either the mean or median can be used to make the data set appear more favorable to their agenda.

Which of the following statements is not true?

D - The mean is the middle value of a data set.

Perry is considering trying to open a new business within the next few years, and he is doing research to determine what kind of businesses tend to be successful. So far, he has compiled two tables. The first shows the number of businesses of several types started in Perry'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.

D - The situation involving the food establishment has a probability 2.36 percentage points higher than the situation involving the financial establishment.

Jeff likes to grow zucchini. He has made a graph of the total number of zucchini his garden has produced this season, which can be seen below. How many zucchini did Jeff's garden produce between June 9 and June 15?

a. 10

The following graph shows a bus's record of the number of passengers it picked up over the course of a day. How many people rode the bus during the 12:00 hour?

a. 55

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?

a. Horror sales appear to be only 50% of fantasy sales, but they are actually only about 8% smaller.

Consider this chart, which details a store's sales revenue by department. Which of the following statements indicate ways in which this graph is misleading?

a. I and II

What kind of graph is shown below?

a. bar graph

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.

a. pie chart

Dave works as a waiter. He is calculating his average tips from the past two weeks. His total tips from each night can be found in the table below, with all values being in dollars.

b. $144.68

Kate recorded what she ate for breakfast every day for six months. Her findings are shown in the graph below. If Kate were to transfer this data to the pie chart shown below, which segment would contain the data for cereal?

b. 19%

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 a B (80%) in the course?

b. 64

Which of the three following graphs display the same data?

b. I and III

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?

b. II and III

Which measure of central tendency would be best to describe the distribution of hair colors at the mall?

b. mode

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

b. pie chart

Lawrence decided to test the balance of his favorite six-sided die. To do so, over the course of a month, he wrote down the total number of rolls he made with it at his weekly gaming night, and how many of those rolls showed a result of six. His data may be seen in the table below. Find the experimental probability of Lawrence's favorite die rolling a six, expressed as a percentage to two decimal places.

c. 19.23%

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.

c. 50 kWh per mark

Which of the following is not a method used on graphs to lead the reader to misinterpret the graph?

c. Comparing two sets of related data on the same graph for the sake of comparison.

The table below shows data on the number of emergency room admissions recorded over the span of one shift. Which of the following graphs displays the same information as that shown in the table?

c. III

Molly records the interest earned in her savings account in the last 5 months. What are the mean, median, and mode of the data set?

c. mean: 0.33, median: 0.37, mode: 0.24

A batch of tiles, shown below, is placed into a bag. Ariana randomly draws one tile from the bag, records it, puts it back in the bag, and draws another tile. What is the probability that Ariana will draw a purple tile first and a red tile second?

d. 1/60

Gabe rolls a six sided die twenty times, and records the result in the table below. How many times did Gabe roll above the average?

d. 6

What is the difference between a histogram and a bar graph?

d. A histogram deals with continuous data in ordered columns, while a bar graph deals with discrete data in separate columns.

What are the median and mode of the data set? 48 25 34 46 29 27 46

d. median: 34, mode: 46

Which of the following is not a measure of variability?

d. regulated differences

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?

d. the extended, continual growth of the population

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

not A - mean: 43.5, mode: 46

Jerry has been a returning contestant on a game show for the last seven weeks. In a contestant's first seven appearances on the show they have a chance to answer one question and win anywhere between $200-$900. On their eighth appearance they get a chance to answer a question worth $10,000. Given Jerry's winnings in the following table, describe what would happen to the mean and median of the data set if he were to get the Week 8 question right.

not C - The mean decreases by $1,171, the median decreases by $14.