Q: When constructing a frequency distribution for grouped quantitative data, which formula should you use to estimate the class width?

$$ \text{Class Width} = \frac{\text{Max Value} - \text{Min Value}}{\text{Number of Classes}} $$

Q: Which of the following is the correct formula for calculating the relative frequency of a class?

$$ \text{Relative Frequency} = \frac{\text{Frequency of the class}}{\text{Total number of observations}} $$

Question 1

Which type of chart is best suited for displaying the distribution of a single quantitative variable, such as the number of iPads sold per day, as shown in the image with five vertical bars of varying heights?

Accepted Answer

Histogram

Question 2

A business analyst wants to compare the proportion of students receiving grades A, B, and C in a class. Which chart, as shown in the third image, is most appropriate for this purpose?

Accepted Answer

Pie chart

Question 3

In the context of Excel, which add-in must be enabled to access advanced statistical tools such as histograms and descriptive statistics, as shown in the images of the Excel options and add-ins dialog?

Accepted Answer

Analysis ToolPak

Question 4

When constructing a frequency distribution for grouped quantitative data, which formula should you use to estimate the class width?

Accepted Answer

$$ 	ext{Class Width} = \frac{	ext{Max Value} - 	ext{Min Value}}{	ext{Number of Classes}} $$

Question 5

A histogram is constructed for the number of iPads sold per day. If the histogram is symmetric and bell-shaped, what can you infer about the distribution of the data?

Accepted Answer

The data is normally distributed.

Question 6

Which of the following is NOT a rule for constructing classes for grouped data in a frequency distribution?

Accepted Answer

Classes should be open-ended.

Question 7

Given the following relative frequencies for a frequency distribution: 0.10, 0.16, 0.28, 0.26, 0.12, 0.08. What is the cumulative relative frequency for the fourth class?

Accepted Answer

$$ 0.80 $$

Question 8

Which Excel function is used to create a frequency distribution from raw data and a set of bins, as shown in the image with the formula bar?

Accepted Answer

FREQUENCY

Question 9

A bar chart is most appropriate for which type of data?

Accepted Answer

Qualitative (categorical) data

Question 10

A Pareto chart is a specialized bar chart. What is its primary distinguishing feature?

Accepted Answer

It displays categories in descending order of frequency and includes a cumulative percentage line.

Question 11

If you want to show the relationship between two quantitative variables, such as TV size and price, which chart should you use?

Accepted Answer

Scatter plot

Question 12

Which of the following best describes a stem-and-leaf display?

Accepted Answer

It splits each data value into a stem (larger place value) and a leaf (smaller place value), displaying all data values.

Question 13

A contingency table is used to:

Accepted Answer

Display the frequencies of two qualitative variables and their relationship.

Question 14

Which chart would be most appropriate to compare the unemployment rates of five states in 2011 and 2012?

Accepted Answer

Clustered bar chart

Question 15

If you want to compare the performance of sales teams in two cities, but the total sales in each city are different, which measure should you use for a fair comparison?

Accepted Answer

Relative frequency (percentage)

Question 16

Which of the following is the correct formula for calculating the relative frequency of a class?

Accepted Answer

$$ 	ext{Relative Frequency} = \frac{	ext{Frequency of the class}}{	ext{Total number of observations}} $$

Question 17

Which chart is best for showing how a variable changes over time, such as annual revenue for a company?

Accepted Answer

Line chart

Question 18

In a stem-and-leaf display, what is the main advantage over a histogram?

Accepted Answer

It preserves the original data values.

Question 19

Which of the following best describes an ogive?

Accepted Answer

A line graph representing the cumulative frequencies for the classes in a frequency distribution.

Question 20

A company wants to summarize the reasons for product returns and highlight the most common causes. Which chart should they use?

Accepted Answer

Pareto chart

Displaying Descriptive Statistics: Tables and Graphs in Business Statistics

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