Question 1

Using the following table, what is the percent of the relative frequency of a Blue car being observed? 
A) 22.06%
B) 2.206%
C) 21.000%
D) 0.221%

Accepted Answer

A

Question 2

Using the following table, what is the percent of the relative frequency of a Blue car being observed? 
A) 21.48%
B) 2.148%
C) 20.3%
D) 0.2148%

Accepted Answer

A

Question 3

Using R, Bart wants to create a bar chart showing the frequency of the color of cars that pass over the I-270 overpass at the Main Street exit. What function should he use?
A) table
B) barplot
C) abline
D) view

Accepted Answer

The `barplot` function in R is used to create bar charts, which is suitable for visualizing the frequency of different categories, such as car colors in this case.

Question 4

Bill wants to calculate the width of each interval by using the approximation formula. He first created a frequency distribution with 4 intervals. The minimum and maximum for the variable are -31.1 and 65.42 respectfully. Calculate the width of each interval for Bill.
A) 16.355
B) 7.775
C) 24.130
D) -24.130

Accepted Answer

The answer of Bill wants to calculate the width of...

Question 5

Bill wants to calculate the width of each interval by using the approximation formula. He first created a frequency distribution with 5 intervals. The minimum and maximum for the variable are -32.4 and 65.42 respectfully. Calculate the width of each interval for Bill.
A) 13.084
B) 6.604
C) 19.564
D) -19.564

Accepted Answer

The answer of Bill wants to calculate the width of...

Question 6

Marin produced the following histogram based on his observations on the age of players willing to sample a video game. He then organized the age into frequencies and interval width of the respective intervals. Based on the results, which range has the best frequency for future video game sampling? 
A) 16-18
B) 19-22
C) 23-25
D) 8-10

Accepted Answer

The answer of Marin produced the following histogram based on...

Question 7

Using the following histogram, how would the distribution be described? 
A) bell-shaped
B) symmetric skewed
C) positively skewed
D) negatively skewed

Accepted Answer

The answer of Using the following histogram, how would the...

Question 8

As a researcher, you should be mindful on constructing and interpreting graphs. All of the following are recommended guidelines you should follow except for one. Which one does not reflect a guideline?
A) The simplest graph should be used for a given set of data.
B) Axis should be clearly marked and labeled.
C) On a bar chart or histogram, bar widths should always reflect various widths of the data.
D) Be mindful of the upper limits on the vertical axis to prevent compression, hiding variant details.

Accepted Answer

C) is incorrect because in a bar chart or histogram, the width of the bars should be consistent and not vary with the data values. This choice does not reflect a guideline for constructing or interpreting graphs correctly.

Question 9

The following chart represents the results of a two categorical variable study reflecting on education level survey in 2006 and the same survey results from 2016. Which type of chart is being displayed? 
A) scatterplot
B) contingency table
C) histogram
D) stacked column chart

Accepted Answer

The answer of The following chart represents the results of...

Question 10

Below is the Scatterplot of 2 numeric variables. What type of relationship is represented? 
A) nonlinear relationship
B) linear relationship
C) matrix relationship
D) no relationship

Accepted Answer

The answer of Below is the Scatterplot of 2 numeric...

Question 11

Simone is a marketing consultant hired to review the product sales for a new high-end barista machine line. The product line has four variations, selling in four specialty store regions. To clearly show where each variation is selling best and in which regions, she plans to provide a color-scaled chart using percentage by type and location. What is the name of the chart she will be using?
A) pivot table
B) bubble plot
C) color map
D) heat map

Accepted Answer

A heat map is the best choice for visually representing data through variations in coloring. In this context, it will effectively show the sales performance of each barista machine variation across different regions, using color intensities to represent percentages.

Question 12

What is the only meaningful measure of the central location for a categorical variable?
A) mean
B) mode
C) median
D) model

Accepted Answer

The mode is the only meaningful measure of central location for a categorical variable because it represents the most frequently occurring category or value within the dataset. Mean and median are measures used for quantitative data and are not applicable to categorical data. "Model" is not a measure of central tendency.

Question 13

What is the arithmetic mean in the following table on the variable score? 
A) 0.93
B) 0.88
C) 0.735
D) 0.8450

Accepted Answer

The answer of What is the arithmetic mean in the...

Question 14

What is the arithmetic mean in the following table on the variable score? 
A) 0.92
B) 0.88
C) 0.765
D) 0.8575

Accepted Answer

The answer of What is the arithmetic mean in the...

Question 15

Carmen is a professor at a local university. In collecting data on her Introduction to Business course for a year, she wants to calculate the z-score for a student who scores a 84 on the final exam. The mean and the standard deviation scores on the exam are 70 and 6, respectively. Calculate the z-score.
A) 1.33
B) 2.33
C) 0.33
D) 2.67

Accepted Answer

The z-score is calculated as (X - μ) / σ = (84 - 70) / 6 = 2.33.

Question 16

Carmen is a professor at a local university. In collecting data on her Introduction to Business course for a year, she wants to calculate the z-score for a student who scores a 90 on the final exam. The mean and the standard deviation scores on the exam are 76 and 6, respectively. Calculate the z-score.
A) 1.33
B) 2.33
C) 0.33
D) 2.67

Accepted Answer

The z-score is calculated by subtracting the mean from the individual score and then dividing by the standard deviation: $z = \frac{(90 - 76)}{6} = \frac{14}{6} = 2.33$.

Question 17

The empirical rule states all the following except
A) Almost all observations fall in the interval x ± 3s.
B) Approximately 95% of all observations fall in the interval x ± 2s.
C) Approximately 65% of all observations fall in the interval x ± s.
D) Approximately 68% of all observations fall in the interval x ± s.

Accepted Answer

The empirical rule, also known as the 68-95-99.7 rule, states that for a normal distribution, approximately 68% of the data falls within one standard deviation (x ± s), not 65% as stated in option C.

Question 18

The mean credit score is 645 out of 310 used car loan applicants with a standard deviation of 17. Assuming a bell-shaped curve, what is the number of loan applicants that fall within a score of 611 and 679?
A) 68
B) 211
C) 295
D) 310

Accepted Answer

Using the empirical rule (68-95-99.7 rule) for a bell-shaped distribution, approximately 95% of the data falls within two standard deviations of the mean. The range of 611 to 679 is two standard deviations away from the mean (645 ± 2*17 = 611 to 679). Therefore, 95% of 310 applicants, which is 0.95 * 310 = 294.5, approximately 295 applicants, fall within this range.

Question 19

The mean credit score is 640 out of 300 used car loan applicants with a standard deviation of 16. Assuming a bell-shaped curve, what is the number of loan applicants that fall within a score of 608 and 672?
A) 96
B) 204
C) 285
D) 300

Accepted Answer

In a bell-shaped curve (normal distribution), approximately 95% of the data falls within two standard deviations of the mean. Here, one standard deviation is 16, so two standard deviations are 32. Adding and subtracting two standard deviations from the mean (640 ± 32) gives us a range of 608 to 672. Therefore, about 95% of 300 applicants, which is 0.95 * 300 = 285 applicants, fall within this range.

Question 20

Candice is preparing for her final exam in Statistics. She knows she needs an 68 out of 100 to earn an A overall in the course. Her instructor provided the following information to the students.
- On the final, 200 students have taken it with a mean score of 60 and a standard deviation of 6. Assume the distribution of scores is bell-shaped. Calculate to see if a score of 68 is within one standard deviation of the mean.
A) Yes, 68 is the upper limit of one standard deviation from the mean.
B) Yes, the upper level of one standard deviation is 66.
C) Yes, 68 is greater than the 54, one standard deviation below the mean.
D) No, 68 is greater than the mean of 60.

Accepted Answer

One standard deviation from the mean in either direction on the bell curve includes the scores from 54 (60 - 6) to 66 (60 + 6). A score of 68 is beyond this range, making it more than one standard deviation above the mean.

Quiz 3: Data Visualization and Summary Measures

Using the following table, what is the percent of the relative frequency of a Blue car being observed?

Using the following table, what is the percent of the relative frequency of a Blue car being observed?

Using R, Bart wants to create a bar chart showing the frequency of the color of cars that pass over the I-270 overpass at the Main Street exit. What function should he use?

Bill wants to calculate the width of each interval by using the approximation formula. He first created a frequency distribution with 4 intervals. The minimum and maximum for the variable are -31.1 and 65.42 respectfully. Calculate the width of each interval for Bill.

Bill wants to calculate the width of each interval by using the approximation formula. He first created a frequency distribution with 5 intervals. The minimum and maximum for the variable are -32.4 and 65.42 respectfully. Calculate the width of each interval for Bill.

Marin produced the following histogram based on his observations on the age of players willing to sample a video game. He then organized the age into frequencies and interval width of the respective intervals. Based on the results, which range has the best frequency for future video game sampling?

Using the following histogram, how would the distribution be described?

As a researcher, you should be mindful on constructing and interpreting graphs. All of the following are recommended guidelines you should follow except for one. Which one does not reflect a guideline?

The following chart represents the results of a two categorical variable study reflecting on education level survey in 2006 and the same survey results from 2016. Which type of chart is being displayed?

Below is the Scatterplot of 2 numeric variables. What type of relationship is represented?

What is the only meaningful measure of the central location for a categorical variable?

What is the arithmetic mean in the following table on the variable score?

What is the arithmetic mean in the following table on the variable score?

The empirical rule states all the following except

The mean credit score is 645 out of 310 used car loan applicants with a standard deviation of 17. Assuming a bell-shaped curve, what is the number of loan applicants that fall within a score of 611 and 679?

The mean credit score is 640 out of 300 used car loan applicants with a standard deviation of 16. Assuming a bell-shaped curve, what is the number of loan applicants that fall within a score of 608 and 672?