Quantitative Data Summarization Quiz

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What is the main purpose of determining the class limits for a frequency distribution?

To ensure each data item belongs to one and only one class (correct)
To specify the number of classes to use
To identify the smallest and largest data values
To determine the class width

How many classes were used in the frequency distribution of the audit time data?

6
4
5 (correct)
3

What is the lower class limit for the first class in the frequency distribution of the audit time data?

12 days
10 days (correct)
5 days
15 days

What is the class width for each of the classes in the frequency distribution of the audit time data?

5 days (B) Signup and view all the answers

Which of the following statements about the frequency distribution of the audit time data is NOT true?

The smallest data value of 12 days is included in the 10-14 class (D) Signup and view all the answers

What is the primary factor the analyst uses to determine the combination of number of classes and class width that provides the best frequency distribution?

Judgment (C) Signup and view all the answers

How many steps are necessary to define the classes for a frequency distribution with quantitative data?

Three steps (A) Signup and view all the answers

Why is it important to make the classes in a frequency distribution with quantitative data the same width?

To ensure the data is interpreted correctly (C) Signup and view all the answers

What is the purpose of a frequency distribution?

To summarize data showing number of observations in categories (B) Signup and view all the answers

How many classes are recommended to be used when forming classes for a frequency distribution?

Between 5 and 20 classes (B) Signup and view all the answers

What are class limits in a frequency distribution with quantitative data?

The upper and lower boundaries of each class (C) Signup and view all the answers

Why must we be more careful in defining nonoverlapping classes for quantitative data in a frequency distribution?

To ensure accurate representation of the data (B) Signup and view all the answers

What is the class width for the data provided in the text?

5 (A) Signup and view all the answers

How many data values belong to the 15-19 class in the frequency distribution?

8 (C) Signup and view all the answers

What is the midpoint for the class with lower limit 20 and upper limit 24?

22 (D) Signup and view all the answers

Which class has the fewest data values according to the frequency distribution provided?

30-34 (D) Signup and view all the answers

What does the value of a frequency distribution provide insights about?

Original data organization (B) Signup and view all the answers

If a class has a lower limit of 10, what would be its upper limit if the class width is 6?

14 (A) Signup and view all the answers

What is the primary goal when constructing a frequency distribution for quantitative data?

To use enough classes to show variation, but not too many that some classes are sparse (C) Signup and view all the answers

If a dataset has a relatively small number of data points, how many classes would be appropriate for the frequency distribution?

5-6 classes (B) Signup and view all the answers

When determining the width of classes, what guideline is provided?

The width should be the same for each class (D) Signup and view all the answers

What expression is given to determine the approximate class width?

(Largest value - Smallest value) / Number of classes (B) Signup and view all the answers

Are the choices of number of classes and class width independent decisions?

No, they are directly related (C) Signup and view all the answers

What information is needed to determine the approximate class width using the given expression?

The largest and smallest data values, and the desired number of classes (C) Signup and view all the answers

What is the purpose of creating a frequency distribution for a data set?

To reveal the natural grouping and variation in the data (D) Signup and view all the answers

Which of the following is NOT a reason why the class width in a frequency distribution may be rounded to a more convenient value?

To ensure an equal number of classes (C) Signup and view all the answers

Which of the following statements about frequency distributions is true?

Different people may construct different, but equally acceptable, frequency distributions (D) Signup and view all the answers

What is the approximate class width used in the frequency distribution for the audit time data?

5 days (D) Signup and view all the answers

What is the total number of observations in the frequency distribution for the audit time data?

20 (D) Signup and view all the answers