Question 1

What is the midpoint of the class 4-15?
A) 4
B) 9.5
C) 4 and 15
D) 9.5 and 11

Accepted Answer

The midpoint of a class is found by adding the class limits and dividing by 2. In this case, 4 + 15 = 19 and 19 divided by 2 is 9.5. Therefore, the answer is B.

Question 2

Greg wants to construct a frequency distribution for the political affiliation of the employees at Owen's Hardware Store. What type of distribution should he use?
A) ungrouped
B) grouped
C) categorical
D) cumulative

Accepted Answer

A categorical distribution is appropriate for organizing data that can be divided into distinct categories, such as political affiliations.

Question 3

Which of the following should not be done when constructing a frequency distribution?
A) select the number of classes desired
B) find the range
C) use a class width with an even number
D) use classes that are mutually exclusive

Accepted Answer

Using a class width with an even number can lead to overlapping of data in adjacent classes, which can lead to inaccurate analysis and interpretation. It is better to use a class width with an odd number to ensure mutually exclusive classes.

Question 4

What is the lower class limit in the class 13-17?
A) 15
B) 17
C) 13
D) 12.5

Accepted Answer

The lower class limit is always the lowest value in a class interval. In this case, the lowest value is 13, so the lower class limit is 13.

Question 5

What is the lower class limit in the class -7 to 14
A) -7
B) 3.5
C) 14
D) -7.5

Accepted Answer

The lower class limit is the smallest value that can belong to a class interval. In this case, -7 is the smallest value in the interval -7 to 14, so it is the lower class limit.

Question 6

In order to graphically compare two frequency distributions, one should use relative frequency
distributions in order to take differing sample sizes into account.

Accepted Answer

Relative frequency distributions provide a better comparison between two frequency distributions with different sample sizes as it converts the frequencies into percentages or proportions. This allows for a more accurate comparison and makes it easier to identify any patterns or differences between the distributions.

Question 7

Thirty students recorded the colours of their eyes, choosing from the colours brown, blue, green, hazel, and black. This data can be appropriately summarized in a
A) Open-ended distribution
B) Categorical frequency distribution
C) Grouped frequency distribution
D) Upper boundary

Accepted Answer

Since the data consists of categories (eye colours), the best way to summarize it is through a categorical frequency distribution.

Question 8

For the class 10-18, the upper class limit is
A) 9
B) 10
C) 18
D) 19

Accepted Answer

The upper class limit of a class interval is the highest value that can be included in that class. For the class 10-18, the highest value is 18.

Question 9

What would be the boundaries on the average age for high school graduates if they were reported to be 18 years old?
A) 17.5-18.5 years old
B) 17.5-19.5 years old
C) 17.6-18.6 years old
D) 17.5-19 years old

Accepted Answer

The average age of 18 years old typically implies a range of half a year on either side, so the boundaries would be 17.5 to 18.5 years old.

Question 10

What is the midpoint of the classes 13.5-17.3?
A) 13.4
B) 15.4
C) 17.3
D) 14.3

Accepted Answer

The midpoint formula is (lower class limit + upper class limit) / 2.
So, the midpoint of the classes 13.5-17.3 is (13.5 + 17.3) / 2 = 15.4. Therefore, the answer is B.

Question 11

The larger the sample size, the larger the relative frequencies.

Accepted Answer

The relative frequencies represent proportions, so they should become more stable and closer to the true underlying population proportions as the sample size increases.

Question 12

What are the boundaries of the class 1.87-3.43?
A) 1.9-3.4
B) 1.87-3.43
C) 1.879-3.439
D) 1.865-3.435

Accepted Answer

The answer of What are the boundaries of the class...

Question 13

$$\text { Find the class with the least number of data values. }$$

A) 70
B) 90
C) 60
D) 40

Accepted Answer

The answer of \[\text { Find the class with the...

Question 14

One disadvantage of pie charts is that it is difficult to visually compare 2 frequency distributions. Plotting
relative frequency distributions (polygons or ogives) on the same axes is usually more informative.

Accepted Answer

This is because pie charts only show the proportions or percentages of each category and not the actual values. Comparing the actual values of two frequency distributions is best done using other types of graphs like histograms or bar charts. Relative frequency distributions plotted on the same axes, such as polygons or ogives, are more informative and allow for better comparisons between distributions.

Question 15

What are the boundaries of the class 4-18?
A) 4
B) 14
C) 4 and 18
D) 3.5 and 14.5

Accepted Answer

The answer of What are the boundaries of the class...

Question 16

Using the class 23-35, what is the upper class boundary?
A) 35
B) 29
C) 35.5
D) 23

Accepted Answer

The upper class boundary is calculated by adding 0.5 to the upper limit of the class interval. In this case, the upper limit is 35 and adding 0.5 gives an upper class boundary of 35.5.

Question 17

For the numbers -5, -2, -7, and 0, which of the following that includes all four is a good class?
A) -8 to 1
B) -5 to 1
C) -7 to 0
D) -7 to 1

Accepted Answer

The class -7 to 1 includes all the numbers -5, -2, -7, and 0.

Question 18

A stem and leaf plot is a data plot that uses part of a data value as the stem and part of the data value as
the leaf to form groups or classes.

Accepted Answer

This statement accurately describes what a stem and leaf plot is.

Question 19

The rate of mortality of children is very high in the first weeks of life. It then decreases rapidly until 1 or
2 years of age and then increases slowly into the teen years. In this situation one should construct relative
frequency distributions (per year of age) with narrow class widths during the first year of life so as to
exhibit the quickly changing mortality rate.

Accepted Answer

The statement accurately describes the pattern of mortality rates in children and recommends using relative frequency distributions with narrow class widths to show the quick changes in the first year of life.

Question 20

The range 31.87-34.33 is not a good choice for class boundaries because
A) it is too narrow
B) it is too wide
C) the class limits are difficult to interpret
D) it has an odd width

Accepted Answer

The class limits 31.87-34.33 are not easy to interpret because they are not rounded numbers, making it difficult to quickly understand or communicate the range.

Quiz 2: Frequency Distributions and Graphs

What is the midpoint of the class 4-15?

Greg wants to construct a frequency distribution for the political affiliation of the employees at Owen's Hardware Store. What type of distribution should he use?

Which of the following should not be done when constructing a frequency distribution?

What is the lower class limit in the class 13-17?

What is the lower class limit in the class -7 to 14

In order to graphically compare two frequency distributions, one should use relative frequency distributions in order to take differing sample sizes into account.

Thirty students recorded the colours of their eyes, choosing from the colours brown, blue, green, hazel, and black. This data can be appropriately summarized in a

For the class 10-18, the upper class limit is

What would be the boundaries on the average age for high school graduates if they were reported to be 18 years old?

What is the midpoint of the classes 13.5-17.3?

The larger the sample size, the larger the relative frequencies.

What are the boundaries of the class 1.87-3.43?

$\text { Find the class with the least number of data values. }$ $\text { Find the class with the least number of data values. } A) 70 B) 90 C) 60 D) 40$

One disadvantage of pie charts is that it is difficult to visually compare 2 frequency distributions. Plotting relative frequency distributions (polygons or ogives) on the same axes is usually more informative.

What are the boundaries of the class 4-18?

Using the class 23-35, what is the upper class boundary?

For the numbers -5, -2, -7, and 0, which of the following that includes all four is a good class?

A stem and leaf plot is a data plot that uses part of a data value as the stem and part of the data value as the leaf to form groups or classes.

The range 31.87-34.33 is not a good choice for class boundaries because

Quiz 2: Frequency Distributions and Graphs

What is the midpoint of the class 4-15?

Greg wants to construct a frequency distribution for the political affiliation of the employees at Owen's Hardware Store. What type of distribution should he use?

Which of the following should not be done when constructing a frequency distribution?

What is the lower class limit in the class 13-17?

What is the lower class limit in the class -7 to 14

In order to graphically compare two frequency distributions, one should use relative frequency distributions in order to take differing sample sizes into account.

Thirty students recorded the colours of their eyes, choosing from the colours brown, blue, green, hazel, and black. This data can be appropriately summarized in a

For the class 10-18, the upper class limit is

What would be the boundaries on the average age for high school graduates if they were reported to be 18 years old?

What is the midpoint of the classes 13.5-17.3?

The larger the sample size, the larger the relative frequencies.

What are the boundaries of the class 1.87-3.43?

Find the class with the least number of data values. \text { Find the class with the least number of data values. } Find the class with the least number of data values.

One disadvantage of pie charts is that it is difficult to visually compare 2 frequency distributions. Plotting relative frequency distributions (polygons or ogives) on the same axes is usually more informative.

What are the boundaries of the class 4-18?

Using the class 23-35, what is the upper class boundary?

For the numbers -5, -2, -7, and 0, which of the following that includes all four is a good class?

A stem and leaf plot is a data plot that uses part of a data value as the stem and part of the data value as the leaf to form groups or classes.

The range 31.87-34.33 is not a good choice for class boundaries because

$\text { Find the class with the least number of data values. }$ $\text { Find the class with the least number of data values. } A) 70 B) 90 C) 60 D) 40$