Question 1

A cumulative frequency distribution lists the number of observations that are within or ____________________ each of the classes.

Accepted Answer

The answer of A cumulative frequency distribution lists the number...

Question 2

A stem-and-leaf display describes two-digit integers between 20 and 80.For one of the classes displayed,the row appears as 5|246.What numerical values are being described?

Accepted Answer

The stem-and-leaf display shows the tens place as the stem (5 in this case) and the ones place as the leaves (2, 4, 6 in this case). Therefore, the numbers are 52, 54, and 56.

Question 3

The cumulative frequency distribution describes the

Accepted Answer

The cumulative frequency distribution gives the number of observations that are within or below each of the classes. For example, if we have a frequency distribution with the following classes and frequencies: 
Class 1: 0-10 (frequency = 5)
Class 2: 10-20 (frequency = 8)
Class 3: 20-30 (frequency = 4)

Then, the cumulative frequency distribution would be: 
Class 1: 0-10 (cumulative frequency = 5)
Class 2: 10-20 (cumulative frequency = 13)
Class 3: 20-30 (cumulative frequency = 17)

The cumulative frequency for each class includes the frequencies for all previous classes. For example, the cumulative frequency for class 2 includes the frequency for class 1 and class 2.

Question 4

The relative frequency distribution describes the

Accepted Answer

The relative frequency distribution calculates the proportion of observations that fall within each class. This is different from the frequency distribution, which calculates the actual number of observations within each class.

Question 5

____________________ is also known as marginal or one-way tabulation.

Accepted Answer

The answer of ____________________ is also known as marginal or...

Question 6

The ____________________ is a diagram in which each point represents a pair of known or observed values of two variables.

Accepted Answer

The answer of The ____________________ is a diagram in which...

Question 7

A frequency distribution is a(n):

Accepted Answer

A frequency distribution is a table that shows how many times each value (or range of values) appears in a data set. It is created by dividing the data into intervals, or classes, which contain a certain range of values, and then counting how many data points fall within each class. Therefore, option D is the correct answer as it mentions the table which classifies the number of data values into classes.

Question 8

The following stem-and-leaf output has been generated by Minitab. Stem-and-leaf of C2 $\quad \mathrm { N } = 10$
Leaf Unit $= 0.10$
$\begin{array} { l c l } 2 & - 1 & 31 \ 4 & - 0 & 86 \ ( 2 ) & - 0 & 41 \ 4 & 0 & 1 \ 3 & 0 & 8 \ 2 & 1 & 1 \ 1 & 1 & 8 \end{array}$ How many values are positive?

Accepted Answer

The answer of The following stem-and-leaf output has been generated...

Question 9

Which of the following is not a guideline for constructing a frequency distribution?

Accepted Answer

All of these options are guidelines for constructing a frequency distribution. An open-end class means that the highest or lowest value in a dataset has no upper or lower limit, respectively. While it may be necessary to use open-end classes in some cases, it is generally preferred to use closed-end classes with defined upper and lower limits. The classes must also be mutually exclusive, meaning that each value in the dataset can only fall into one class, and they must be exhaustive, ensuring that every value in the range of the variable is included in a class. Equal-width classes allow for an even distribution of data within each class, while choosing round numbers for class widths simplifies the presentation and interpretation of data.

Question 10

The ____________________ describes a frequency distribution by using a series of adjacent rectangles with no gaps in-between,each of which has the length that is proportional to the frequency of the observations within the range of values it represents.

Accepted Answer

The answer of The ____________________ describes a frequency distribution by...

Question 11

The difference between a histogram and a bar chart is that:

Accepted Answer

Both C and D are correct. A histogram is used for quantitative data and typically has no gaps between the bars to show the continuous nature of the data. A bar chart is used for qualitative or categorical data and usually has gaps between the bars to distinguish the categories.

Question 12

The ____________________ is also known as the contingency table.

Accepted Answer

The answer of The ____________________ is also known as the...

Question 13

In a __________,we can generate a display that describes how a selected qualitative variable tends to differ from one category to another.

Accepted Answer

A crosstab or contingency table displays the frequency distribution of two or more categorical variables. It allows us to compare the distribution of one variable across the categories of another variable. Therefore, it is the best choice to generate a display that describes how a selected qualitative variable tends to differ from one category to another.

Question 14

A relative frequency distribution describes the____________________ or ____________________ of data values that fall within each category.

Accepted Answer

The answer of A relative frequency distribution describes the____________________ or...

Question 15

The grades on a chemistry exam for a sample of 40 students are as follows: $$\begin{array} { l l l l l l l l l l } 
47 & 82 & 83 & 54 & 79 & 62 & 68 & 58 & 41 & 48 \
84 & 68 & 71 & 91 & 71 & 86 & 69 & 75 & 94 & 55 \
62 & 64 & 67 & 76 & 79 & 61 & 81 & 77 & 59 & 38 \
57 & 74 & 42 & 56 & 51 & 54 & 36 & 65 & 68 & 63
\end{array}$$ Estimate the percentage of grades that are between 80 and 90.

Accepted Answer

The answer of The grades on a chemistry exam for...

Question 16

In cross-tabulation:

Accepted Answer

Cross-tabulation represents data in a table showing how many people or items are in combinations of categories, allowing us to identify possible relationships between the variables. Therefore, both options A and B are correct.

Question 17

In a scatter diagram,data are represented as:

Accepted Answer

In a scatter diagram, data are represented as pairs of known values of two variables, one being referred to as independent and the other, dependent. Each point represents a combination of values for the two variables, allowing us to visualize the relationship between them.

Question 18

In the stem-and-leaf display,data are represented as:

Accepted Answer

A stem-and-leaf display represents data by splitting the original data values into a "stem" (usually the leading digit(s)) and a "leaf" (usually the last digit). This method retains the original data values and organizes them in a way that allows for easy visualization of the distribution.

Question 19

The following stem-and-leaf output has been generated by Minitab. Stem-and-leaf of C2 $\quad \mathrm { N } = 10$
Leaf Unit $= 0.10$
$\begin{array} { l c } 2 & - 153 \ 4 & - 097 \ ( 2 ) & - 065 \ 4 & 03 \ 3 & 06 \ 2 & 13 \ 1 & 18 \end{array}$ Which of the following statements are correct?

Accepted Answer

The answer of The following stem-and-leaf output has been generated...

Question 20

A requirement for a frequency distribution is that the set of classes must be mutually exclusive.This means that

Accepted Answer

Mutually exclusive means that a data value can only be included in one class. This ensures that each data value is counted only once and prevents overlap or double counting. The other options (A, C, D, and E) are not necessarily requirements for mutual exclusivity.

Quiz 2: Visual Description of Data