Question 1

Assuming you have data for a variable with 2,000 values,using the 2^k ≥ n guideline,what is the least number of groups that should be used in developing a grouped data frequency distribution?

Accepted Answer

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Question 2

Why should a histogram contain no gaps between the bars but a bar chart may have gaps?

Accepted Answer

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Question 3

A scatter diagram can be used to do which of the following?

Accepted Answer

A scatter diagram is used to analyze the relationship between two variables by plotting their values on a graph. It can show whether the variables have a positive, negative, or no correlation.

Question 4

Consider the following chart.Which of the following statements is most correct?

Accepted Answer

The variable on the horizontal axis, also known as the x-axis, should be the independent variable. The dependent variable is represented on the y-axis. This corresponds with the standard convention in graphing where the independent variable is shown on the x-axis and the dependent variable on the y-axis. It is also important to note that a scatter plot does not connect the dots with a straight line or any line, but instead is a visual representation of the distribution of the data points.

Question 5

Explain what information can be conveyed by a frequency histogram.

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Question 6

Explain why it is appropriate to connect the points on a line graph,but the points on a scatter plot should not be connected.

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Question 7

In creating a frequency distribution for numerical data,describe the steps in choosing the classes.

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Question 8

The Fitness Center manager has collected data on the number of visits to the club each week for the past 8 weeks.These data are shown as follows.Which of the following statements is most correct?

Accepted Answer

The data lend themselves to a line chart as it shows the trend of the number of visits to the club over time. A pie chart is not appropriate as it shows proportions or percentages of a whole, and a frequency histogram may show the distribution of the data, but it does not explicitly show the trend over time. Option B is incorrect as there is no clear trend, and the data seem to fluctuate without any consistent pattern.

Question 9

In constructing a scatter diagram:

Accepted Answer

The independent variable should be on the horizontal axis and the dependent variable should be on the vertical axis. This is because the relationship between the two variables is being observed and the independent variable is typically considered the determining or influencing factor in the relationship. Placing it on the horizontal axis allows for a clearer understanding of this relationship.

Question 10

A company has 400 employees.The manager of human resources has recorded the annual salary and wages for each employee.These value range from $17,500 to $67,800.Provide an example of a stem and a leaf that could be developed to describe the distribution of the salary and wage data.

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Question 11

Suppose you are given the following data.
  If you wish to have a histogram with five classes,what should the first class limits be?

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...

Question 12

The sales manager at Western Furniture Company tracked data on the number of customers who came into the store each day and the total dollar volume of sales at the store during the same day.She is considering putting together a report for top management and wishes to show the relationship between these two variables.Which of the following graphs would likely be most useful? She has a sample of 36 days worth of data.

Accepted Answer

A scatter diagram is the best choice to show the relationship between two variables. In this case, the number of customers who came into the store and the total dollar volume of sales. Other choices such as a bar chart or frequency histogram would only show the individual values of each variable and not their relationship. A pie chart would not be appropriate for this type of data.

Question 13

Discuss the steps that you would use to manually construct a histogram for the salaries of the 1,124 employees in the Ferris Steel Company.

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Question 14

Consider the following chart.Which of the following statements is most correct?

Accepted Answer

There is a clear positive linear relationship between the two variables, as the points follow a general upward trend. However, it is important to note that the relationship is not perfect, as there is some variation in the data.

Question 15

Explain why a relative frequency histogram is sometimes preferable to a regular frequency histogram.

Accepted Answer

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Question 16

The Fitness Center manager has collected data on the number of visits to the club each week for the past 8 weeks.These data are shown as follows.Which of the following statements is most correct?

Accepted Answer

The answer of The Fitness Center manager has collected data...

Question 17

The managers at Harris Pizza in Boston have tracked the tips received by their drivers along with the total bill to the customer.An appropriate graph for analyzing the relationship between these two variables is:

Accepted Answer

A scatter diagram is the best choice to analyze the relationship between two continuous variables. It allows the managers to plot the tips received by their drivers against the total bill to the customer and visually determine if there is any correlation or pattern between the two variables. A line chart is not appropriate since it is typically used to show trends over time, and a histogram is not applicable since it is used to show the distribution of a single variable, not the relationship between two variables. A pie chart is also not applicable since it is used to show proportions or percentages of a whole.

Question 18

Suppose that you have a data set of 512 observations and the data values range from 36 to 187.What classes would you choose for this data set? Explain why you would choose these values.

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Question 19

Which of the following questions CANNOT be answered using a scatter diagram?

Accepted Answer

A scatter diagram can show the relationship between two variables but cannot reveal trends over time.

Quiz 2: Graphs,Charts and Tablesdescribing Your Data

Assuming you have data for a variable with 2,000 values,using the 2k ≥ n guideline,what is the least number of groups that should be used in developing a grouped data frequency distribution?

Why should a histogram contain no gaps between the bars but a bar chart may have gaps?

A scatter diagram can be used to do which of the following?

Consider the following chart.Which of the following statements is most correct?

Explain what information can be conveyed by a frequency histogram.

Explain why it is appropriate to connect the points on a line graph,but the points on a scatter plot should not be connected.

In creating a frequency distribution for numerical data,describe the steps in choosing the classes.

The Fitness Center manager has collected data on the number of visits to the club each week for the past 8 weeks.These data are shown as follows.Which of the following statements is most correct?

In constructing a scatter diagram:

A company has 400 employees.The manager of human resources has recorded the annual salary and wages for each employee.These value range from $17,500 to $67,800.Provide an example of a stem and a leaf that could be developed to describe the distribution of the salary and wage data.

Suppose you are given the following data. If you wish to have a histogram with five classes,what should the first class limits be?

Discuss the steps that you would use to manually construct a histogram for the salaries of the 1,124 employees in the Ferris Steel Company.

Consider the following chart.Which of the following statements is most correct?

Explain why a relative frequency histogram is sometimes preferable to a regular frequency histogram.

The Fitness Center manager has collected data on the number of visits to the club each week for the past 8 weeks.These data are shown as follows.Which of the following statements is most correct?

The managers at Harris Pizza in Boston have tracked the tips received by their drivers along with the total bill to the customer.An appropriate graph for analyzing the relationship between these two variables is:

Suppose that you have a data set of 512 observations and the data values range from 36 to 187.What classes would you choose for this data set? Explain why you would choose these values.

Which of the following questions CANNOT be answered using a scatter diagram?

Assuming you have data for a variable with 2,000 values,using the 2^k ≥ n guideline,what is the least number of groups that should be used in developing a grouped data frequency distribution?