Question 1

Refer to the following distribution of commissions:  What is the relative frequency of those salespersons that earn more than $1,599?

Accepted Answer

To find the relative frequency of salespersons that earn more than $1,599, we need to add up the frequencies of the last two classes: 6 + 8 = 14. Then we need to divide this sum by the total frequency (45):
14/45 = 0.3111 (rounded to four decimal places) or 31.11%. The closest answer choice is D, which is 30.8%. Therefore, the best choice is D.

Question 2

Consider the following relative frequency distribution:  If there are 2,000 numbers in the data set, how many of the values are less than 30?

Accepted Answer

The answer of Consider the following relative frequency distribution: ...

Question 3

In a frequency distribution, what is the number of observations in a class called?

Accepted Answer

The number of observations in a class is referred to as class frequency. Class midpoint refers to the middle point of a class interval, class interval refers to the range of values in a class, and class array refers to the distribution of values within a class.

Question 4

Refer to the following distribution of commissions:  What is the relative frequency for those salespersons that earn between $1,500 and $1,800?

Accepted Answer

The answer of Refer to the following distribution of commissions:...

Question 5

One rule that must always be followed in constructing frequency distributions is that _______.

Accepted Answer

In constructing frequency distributions, each data point can only belong to one class to avoid overlap and repetition. The other options are not necessarily true or necessary rules.

Question 6

What is the class midpoint for the $45 up to $55 class?

Accepted Answer

The answer of What is the class midpoint for the...

Question 7

(i. Simple bar charts may be constructed either horizontally or vertically. (ii) A frequency polygon is a very useful graphic technique when comparing two or more distributions
(iii) A cumulative frequency distribution is used when we want to determine how many observations lie above or below certain values.

Accepted Answer

All three statements are correct. Statement (i) discusses the different orientations of simple bar charts, statement (ii) discusses the use of frequency polygons for comparing distributions, and statement (iii) explains the purpose of cumulative frequency distributions.

Question 8

Refer to the following distribution of commissions:  What is the relative frequency for those salespersons that earn between $1,600 and $1,799?

Accepted Answer

The answer of Refer to the following distribution of commissions:...

Question 9

A sample distribution of hourly earnings in Paul's Cookie Factory is:  The limits of the class with the smallest frequency are:

Accepted Answer

The answer of A sample distribution of hourly earnings in...

Question 10

Why are unequal class intervals sometimes used in a frequency distribution?

Accepted Answer

Unequal class intervals may be used to avoid a large number of empty classes, which can occur when using equal intervals and the distribution of data is skewed or has outliers. This allows for a more accurate representation of the data and can help to identify patterns and trends.

Question 11

Refer to the following price of jeans are recorded to the nearest dollar: The first two class midpoints are $62.50 and $65.50.
What is the class interval?

Accepted Answer

The class interval is the difference between consecutive class midpoints. The difference between $65.50 and $62.50 is $3.00.

Question 12

Refer to the following price of jeans are recorded to the nearest dollar: The first two class midpoints are $62.50 and $65.50.
What are the class limits for the third class?

Accepted Answer

Since the class midpoints are recorded to the nearest dollar, we can assume that each class has a width of 3 dollars (halfway between 62.50 and 65.50). Therefore, to find the class limits for the third class, we can add and subtract 1.5 from the midpoint of $67.50. This gives us the class limits of $66 and $69, which correspond to choice C.

Question 13

The following class intervals for a frequency distribution were developed to provide information regarding the starting salaries for students graduating from a particular school:  Before data was collected, someone questioned the validity of this arrangement. Which of the following represents a problem with this set of intervals?

Accepted Answer

The answer of The following class intervals for a frequency...

Question 14

What are the class limits for the $55 up to $65 class?

Accepted Answer

The answer of What are the class limits for the...

Question 15

Refer to the following ages (rounded to the nearest whole year) of employees at a large company that were grouped into a distribution with class limits: 20 up to 30
30 up to 40
40 up to 50
50 up to 60
60 up to 70
What is the class interval and the midpoint of the first class?

Accepted Answer

The class interval is the difference between the upper limit of one class and the lower limit of the same class, which is 30 - 20 = 10. The midpoint of the first class is the average of its upper and lower limits, which is (20 + 30) / 2 = 25.

Question 16

Refer to the following price of jeans are recorded to the nearest dollar: The first two class midpoints are $62.50 and $65.50.
What are the class limits for the lowest class?

Accepted Answer

Since the first two class midpoints are $62.50 and $65.50, we can assume that the class width is $3. Therefore, the lowest class would have a midpoint of $61.50, so the class limits would be $61 up to $64.

Question 17

Refer to the following distribution of commissions:  The first plot for a cumulative greater than frequency distribution should be:

Accepted Answer

The answer of Refer to the following distribution of commissions:...

Question 18

The head of the statistics department wants to determine the number of mistake made by students in their first online assignment. She gathers information from her classes of the past year.  The approximate range (distance from the minimum value in the raw data up to the maximum value) of the data is _________.

Accepted Answer

The answer of The head of the statistics department wants...

Question 19

The following class intervals for a frequency distribution were developed to provide information regarding the starting salaries for students graduating from a particular school:  Before data was collected, someone questioned the validity of this arrangement. Which of the following represents a problem with this set of intervals?

Accepted Answer

This indicates the problem of the overlapping intervals. It will create ambiguity if any numbers fall between these two intervals.

Question 20

For the following distribution of heights, what are the limits for the class with the greatest frequency?

Accepted Answer

The class with the greatest frequency is the one that ranges from 65 to 70, so the limits would be 65 and 70.

Quiz 2: Describing Data: Frequency Tables, Frequency Distributions, and Graphic Presentation

Refer to the following distribution of commissions: What is the relative frequency of those salespersons that earn more than $1,599?

Consider the following relative frequency distribution: If there are 2,000 numbers in the data set, how many of the values are less than 30?

In a frequency distribution, what is the number of observations in a class called?

Refer to the following distribution of commissions: What is the relative frequency for those salespersons that earn between $1,500 and $1,800?

One rule that must always be followed in constructing frequency distributions is that _______.

What is the class midpoint for the $45 up to $55 class?

Refer to the following distribution of commissions: What is the relative frequency for those salespersons that earn between $1,600 and $1,799?

A sample distribution of hourly earnings in Paul's Cookie Factory is: The limits of the class with the smallest frequency are:

Why are unequal class intervals sometimes used in a frequency distribution?

Refer to the following price of jeans are recorded to the nearest dollar: The first two class midpoints are $62.50 and $65.50. What is the class interval?

Refer to the following price of jeans are recorded to the nearest dollar: The first two class midpoints are $62.50 and $65.50. What are the class limits for the third class?

What are the class limits for the $55 up to $65 class?

Refer to the following ages (rounded to the nearest whole year) of employees at a large company that were grouped into a distribution with class limits: 20 up to 30 30 up to 40 40 up to 50 50 up to 60 60 up to 70 What is the class interval and the midpoint of the first class?

Refer to the following price of jeans are recorded to the nearest dollar: The first two class midpoints are $62.50 and $65.50. What are the class limits for the lowest class?

Refer to the following distribution of commissions: The first plot for a cumulative greater than frequency distribution should be:

For the following distribution of heights, what are the limits for the class with the greatest frequency?