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Chapter 2

# Chapter 2 Worksheet

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Quantitative Methods

QMS 230

Douglas Mc Kessock

Fall

Description

CQMS204-Statistics for Management Chapter2
Chapter 2 Presenting Data in Tables and Charts
Todays Outcomes
1. Review-Chapter1 and Chapter2.1 and 2.2
2. Create tables, bar graphs, pie charts and line graphs for qualitative
(categorical) data
3. Create frequency distributions, and graphical charts (histogram and ogive)
for quantitative (numerical) data
Variables
1. A characteristic or quantity that can vary
2. Example: Gender, age, cleanliness rating, staff friendliness rating, and
purchase amount.
Qualitative(Categorical) and Quantitative(Numerical) data
Qualitative data
1. Data containing descriptive information in words or numbers (numbers
represent codes for associated words)
2. Example: Gender, staff friendliness rating, customer satisfaction
Quantitative data
1. Data containing numerical information.
2. Example: Age, purchase amount
Quantitative Data: Discrete and Continuous data
Discrete data
1. Data that can take only certain values within a given range.
2. Example: number of customers
Continuous data
1. Data that can take on infinite possible values within a given range
2. Example: purchase amount
Example1
Part I: Classify the following sets of data as categorical or numerical
_____N______ a. The amount of investment in Tax-Free Savings Account
(TFSA)
_____C______ b. The clients gender
Winter2011 Page #1 CQMS204-Statistics for Management Chapter2
_____N______ c. The interest rate (in percent)
_____C_____ d. Employees performance
_____N_____ e. The number of customers in the RyersonBank.
Part II: Classify the following sets of data as continuous or discrete
______D______ f. The number of clients who have TFSA with Ryerson Bank
______C_____ g. The average yearly salary for a Certified General Accountant
______No answer______ h. The month(s) in which a firms employees choose
to take their vacations.
_______C_____ i. The daily closing price of the Ryerson.COM stock.
Tables, Bar Charts and Pie Charts for Qualitative(Categorical)
Data
Tables
Consists of one variable
Cross-classification Table/ Crosstabs / Contingency Tables
Consists of two variables
Bar Charts
Bar Chart shows each category, the length of each represent the amount,
frequency or percentage of values falling into a category.
Pie Charts
1. A circle divided into sectors whose areas are proportional to the quantities
represented.
2. It shows relative comparison- in term of percentage. (It is the best way of
comparing individual categories to the total)
3. The following information has to be included in pie chart: title, legend and
count/%.
Winter2011 Page #2 CQMS204-Statistics for Management Chapter2
Example1:
The following data show the mode of transportation that 30 people used to
commute to work during the last summer. These 30 people live and work in the
GTA.
No. Gender Age Mode of No. Gender Age Mode of
Group Transportation Group Transportation
to work to work
1 Male 16-25 Bicycle 16 Female 16-25 Bicycle
2 Female 36-45 Walking 17 Female 26-35 TTC
3 Male 46-55 TTC 18 Female 16-25 Bicycle
4 Male 46-55 Car 19 Female 16-25 TTC
5 Female 36-45 Other Method 20 Female 16-25 Walking
6 Female 26-35 Walking 21 Male 36-55 Bicycle
7 Male 26-35 Bicycle 22 Female 16-25 Other Method
8 Female 56-65 TTC 23 Male 56-65 Walking
9 Male 56-65 TTC 24 Female 36-45 Bicycle
10 Male 16-25 Bicycle 25 Male 56-65 Car
11 Male 46-55 TTC 26 Male 46-55 Car
12 Female 46-55 TTC 27 Male 46-55 Bicycle
13 Female 46-55 TTC 28 Male 56-65 Other Method
14 Male 26-35 Bicycle 29 Female 16-25 TTC
15 Male 26-35 Bicycle 30 Female 16-25 Bicycle
Construct the following:
a. a table, b. a simple bar chart, and c. a pie chart to show the mode of
transportation that the 30 people listed above used to commute to work during
the last summer. These 30 people live and work in the GTA.
a. The table shows the mode of transportation that 30 people used to commute
to work during the last summer. These 30 people live and work in the GTA.
Mode of Transportation To Work Number of Respondents
Bicycle 11
Car 3
TTC 9
Walking 4
Other Method 3
b. The simple bar Chart shows the mode of transportation that 30 people used
to commute to work during the last summer. These 30 people live and work in
the GTA.
Winter2011 Page #3 CQMS204-Statistics for Management Chapter2
The simple bar Chart shows the mode of transportation that 30 people used to
commute to work during last summer. These 30 people live and work in the GTA.
c.
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