Question 1

Which of the following best describes the purpose of a frequency distribution in business statistics?

Accepted Answer

To show the number of data observations that fall into specific intervals, helping to identify patterns in the data.

Question 2

Given the frequency distribution for iPad sales: 0 (5), 1 (8), 2 (14), 3 (13), 4 (6), 5 (4), what is the relative frequency for days with 3 iPads sold?

Accepted Answer

$$\frac{13}{50} = 0.26$$

Question 3

A cumulative relative frequency distribution totals the proportion of observations that are less than or equal to the class at which you are looking. If the cumulative relative frequency for 3 iPads sold is 0.80, what does this mean?

Accepted Answer

80% of the days had 3 or fewer iPads sold.

Question 4

Which of the following is a key difference between discrete and continuous data?

Accepted Answer

Discrete data are counted and represented by whole numbers, while continuous data are measured and can take on any real number.

Question 5

If you want to display the proportion of each category in a data set, which chart should you use?

Accepted Answer

Pie chart

Question 6

A business wants to analyze the relationship between customer age and payment method. Which tool should they use?

Accepted Answer

Contingency table

Question 7

In constructing a frequency distribution for continuous data, which rule should be followed regarding class boundaries?

Accepted Answer

Class boundaries must be mutually exclusive and easy to read.

Question 8

A Pareto chart is used in quality control to display the frequency of categories causing problems. What additional feature does a Pareto chart include?

Accepted Answer

A cumulative relative frequency line (ogive)

Question 9

Which Excel function is most appropriate for counting the number of occurrences of a specific category in qualitative data?

Accepted Answer

COUNTIF

Question 10

If a histogram is constructed with too few classes, what is a likely consequence?

Accepted Answer

Important patterns may be obscured, and the distribution will appear blocky.

Question 11

A stem and leaf display is most useful for which of the following purposes?

Accepted Answer

Displaying the original data points while providing a histogram-like view of the distribution.

Question 12

Which chart is best suited for visualizing the relationship between two paired quantitative variables, such as TV size and price?

Accepted Answer

Scatter plot

Question 13

In Excel, which add-in must be activated to access advanced statistical analysis tools such as histograms and regression?

Accepted Answer

Analysis ToolPak

Question 14

A company wants to compare the number of electric vehicles sold in 2022 and 2023 for several brands. Which chart type would best display this comparison?

Accepted Answer

Clustered bar chart

Question 15

If the rule $$2^k \geq n is $$used to determine the number of classes for a frequency distribution, what is the minimum value of $$k$$ for $$n = 50$$?

Accepted Answer

$$k = 6$$

Question 16

Which of the following is NOT a rule for constructing classes for grouped quantitative data?

Accepted Answer

Classes should be open-ended whenever possible.

Question 17

A business analyst wants to visualize the cumulative percentage of customers who waited less than a certain number of minutes for support. Which chart should they use?

Accepted Answer

Ogive

Question 18

Which chart is most appropriate for displaying time series data, such as monthly sales over several years?

Accepted Answer

Line chart

Question 19

If you want to display the frequency of grades received by students in a class, which chart would be most appropriate?

Accepted Answer

Bar chart

Question 20

A company wants to show the cumulative relative frequency of reasons for product returns alongside the frequency of each reason. Which chart should they use?

Accepted Answer

Pareto chart

Displaying Descriptive Statistics: Visualizing and Summarizing Data in Business Statistics

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