Master Graphical Representations in Business Statistics: Quizzes and Practice

Question 1

Which type of graph is commonly used to depict the distribution of data values?

Accepted Answer

Histogram

Answer

Scatterplot

Answer

Bar chart

Answer

Pie chart

Question 2

Which of the following is not a characteristic of a stem-and-leaf plot?

Accepted Answer

Is a cumulative frequency distribution

Answer

Displays the distribution of data

Answer

Provides a visual representation

Answer

Is easy to interpret

Question 3

Within a box plot, what does the rectangular box represent?

Accepted Answer

The interquartile range

Answer

The range of the data

Answer

The lower quartile

Answer

The upper quartile

Question 4

The shape of a histogram can provide insights into the underlying distribution of data.

Accepted Answer

True

Answer

False

Question 5

Which measure of central tendency is depicted by the median?

Accepted Answer

Median

Answer

Mean

Answer

Mode

Question 6

A scatterplot is used to graphically represent the relationship between two variables.

Accepted Answer

True

Answer

False

Question 7

Examine the stem-and-leaf plot:

Stem	Leaf
1	2, 4, 5
2	0, 1, 3, 5, 6
3	0, 2, 4, 6, 8

Which value is an outlier in this dataset?

Accepted Answer

8

Answer

2

Answer

4

Answer

5

Question 8

What is the primary purpose of constructing a histogram?

Accepted Answer

To illustrate the distribution of a continuous numerical variable divided into equal intervals.

Answer

To show the relationship between two categorical variables.

Answer

To compare the mean and median of a data set.

Answer

To identify the outliers in a data set.

Question 9

Which characteristic accurately describes a frequency polygon?

Accepted Answer

A line graph connecting the midpoints of the tops of the histogram bars.

Answer

A graph that displays cumulative frequencies.

Answer

A graph that uses a stem and leaf plot to represent data.

Answer

A graph that shows the individual data points.

Question 10

What is the key distinction between a stem-and-leaf plot and a box plot?

Accepted Answer

A stem-and-leaf plot displays individual data points, whereas a box plot summarizes the data into quartiles.

Answer

A box plot displays individual data points, whereas a stem-and-leaf plot summarizes the data into quartiles.

Answer

A stem-and-leaf plot is used for categorical data, while a box plot is used for continuous data.

Answer

A box plot is used for categorical data, while a stem-and-leaf plot is used for continuous data.

Question 11

Specifically, what does the interquartile range (IQR) of a box plot represent?

Accepted Answer

The difference between the first and third quartiles, which indicates the range of values that make up the middle 50% of the data.

Answer

The difference between the minimum and maximum values, which represents the entire range of the data.

Answer

The distance between the median and the mean, which indicates the spread of the data.

Answer

The average of the highest and lowest values, which represents the central tendency of the data.

Question 12

What is the primary function of a frequency table?

Accepted Answer

To organize and summarize raw data into meaningful categories and frequencies.

Answer

To generate graphical representations such as histograms.

Answer

To conduct statistical tests to assess the significance of relationships.

Answer

To calculate descriptive statistics like mean, median, and mode.

Question 13

What is the primary purpose of constructing a normal probability plot?

Accepted Answer

To assess whether a data set follows a normal distribution.

Answer

To create a graphical representation of the data distribution.

Answer

To calculate the mean and standard deviation of the data set.

Answer

To identify outliers in the data set.

Question 14

Which of the following is NOT a measure of central tendency used to describe the "typical" value of a data set?

Accepted Answer

Standard deviation

Answer

Mean

Answer

Median

Answer

Mode

Question 15

Which graphical representation is most appropriate for displaying the distribution of a categorical variable?

Accepted Answer

Bar Chart

Answer

Histogram

Answer

Frequency Polygon

Answer

Box Plot

Question 16

How do box plots facilitate the comparative analysis of data distributions across multiple data sets?

Accepted Answer

By enabling visual comparisons of the medians, interquartile ranges, and extreme values of the data sets

Answer

By providing a visual comparison of the means, medians, and standard deviations of each data set on a single graph

Answer

By utilizing bars of varying heights to depict the distributions

Answer

By displaying the probability distribution of each data set

Question 17

Which graph type is ideal for visualizing the distribution of a continuous variable?

Accepted Answer

Histogram

Answer

Bar chart

Answer

Pie chart

Answer

Scatter plot

Question 18

Describe the purpose of a line graph (time series graph) in visualizing data that changes over time, and discuss its advantages for business analysis.

Accepted Answer

To present a chronological sequence of data points, enabling the identification and analysis of trends and patterns over time.

Answer

To compare multiple datasets simultaneously, highlighting their similarities and differences.

Answer

To display categorical data using different colors or symbols to differentiate between categories.

Answer

To represent the probability distribution of a random variable, indicating the likelihood of different outcomes.

Question 19

What is the main purpose of using a pie chart to represent qualitative data? Give an example of how it's used in business.

Accepted Answer

To show the distribution of a single category of data.

Answer

To compare different quantitative variables.

Answer

To represent large amounts of data effectively.

Answer

To be the only way to represent qualitative data graphically.

Question 20

What is the main purpose of a cumulative frequency graph?

Accepted Answer

To determine the cumulative frequency or cumulative proportion of a data point

Answer

To show the distribution of data

Answer

To identify outliers

Answer

To compare different data sets

Question 21

A company wants to visualize how salaries are distributed among its employees. Which graphical representation would be most suitable for this purpose?

Accepted Answer

Histogram

Answer

Bar Chart

Answer

Pie Chart

Answer

Line Graph

Question 22

A stem-and-leaf plot shows the following data:

1 | 2 4 7
2 | 0 1 3 5 8
3 | 2 6 9

What is the median value of this dataset?

Accepted Answer

23

Answer

21

Answer

25

Answer

28

Question 23

A box plot shows the following information: Minimum = 10, Q1 = 20, Median = 30, Q3 = 40, Maximum = 50. What is the interquartile range (IQR) of this dataset?

Accepted Answer

20

Answer

10

Answer

30

Question 24

A frequency polygon is used to display the distribution of customer satisfaction scores on a scale of 1 to 5. Which of the following statements is TRUE about frequency polygons?

Accepted Answer

Frequency polygons are useful for visualizing trends in data.

Answer

Frequency polygons are best suited for categorical data.

Answer

Frequency polygons show the exact frequency of each data point.

Question 25

A company is analyzing the number of units sold per day for the past month. Which graphical representation would best highlight the changes in sales over time?

Accepted Answer

Line Graph

Answer

Histogram

Answer

Pie Chart

Answer

Bar Chart

Question 26

A histogram shows a distribution with a long tail extending to the right. This indicates that the data is:

Accepted Answer

Skewed to the right

Answer

Uniform

Answer

Skewed to the left

Answer

Symmetrical

Question 27

A bar chart is used to compare the market share of different smartphone brands. What type of data is represented by this bar chart?

Accepted Answer

Categorical data

Answer

Continuous data

Answer

Ordinal data

Answer

Interval data

Question 28

Which of the following is NOT a key feature of a box plot?

Accepted Answer

Mean

Answer

Quartiles

Answer

Median

Answer

Outliers

Question 29

A company wants to analyze the distribution of customer ages. Which graphical representation would be most appropriate for showing the concentration of customers within different age groups?

Accepted Answer

Histogram

Answer

Line Graph

Answer

Pie Chart

Answer

Scatter Plot

Question 30

A stem-and-leaf plot is used to display the daily sales figures of a retail store. What is the main advantage of using a stem-and-leaf plot over a simple list of data?

Accepted Answer

It preserves the original data values while providing a visual representation.

Answer

It is better for visualizing trends over time.

Answer

It is easier to create than other graphs.