Introduction to Statistics

Faculty
Science & Technology
Department
Mathematics
Course Code
MATH 1160
Credits
3.00
Semester Length
15 weeks
Max Class Size
35
Method Of Instruction
Lecture
Tutorial
Typically Offered
Fall
Summer
Winter
Campus
Online

Overview

Course Description
A pre-calculus introduction to descriptive statistics, measures of central tendency and variation, elementary probability, probability distributions, sampling, hypothesis testing, regression, and correlation.
Course Content

Introduction to Statistics

  • The nature of data, uses and abuses of statistics, design of experiments statistics with calculator and computers.

Describing exploring and comparing data

  • Summarizing data with frequency tables, pictures of data, measures of central tendency, measures of variation, measures of position, exploratory data analysis.

Probability

  • Definitions, addition rule, multiplication rule, probabilities through simulation, counting.

Probability Distributions

  • Random variables
  • Binomial experiments, mean, variance and standard deviation for the Binomial distribution.
  • Other probability distribtuions such as the uniform, geometric, and Poisson (optional).
  • Mean and variance of linear combinations of independent random variables.

Normal Probability Distributions

  • The Standard Normal distribution, non-standard Normal distributions, the Central Limit Theorem, Normal approximation to the Binomial distribution.

Estimates and Sample Sizes

  • Estimating a population mean using samples, estimating a population proportion.
  • Determining a sample size.

Hypothesis Testing

  • Fundamentals of Hypothesis Testing, testing a claim about a mean using large and small samples, testing a claim about a proportion.
  • Confidence intervals.

Inferences from Two Samples

  • Inferences about two means: dependent samples, inferences about two means: independent and large samples, inferences about two means: independent and small samples, inferences about two proportions

Correlation and Regression

  • Computing and interpreting the meaning of the correlation coefficient and coefficient of determination.
  • Constructing and applying linear models to make predictions.
Methods Of Instruction

Lectures, group work, assignments.

Means of Assessment

Evaluation will be carried out in accordance with Douglas College policy.  The instructor will present a written course outline with specific evaluation criteria at the beginning of the semester.  Evaluation will be based on some of the following:

Weekly quizzes 0-20%
Term tests 20-70%
Tutorials 0-10%
Participation/attendance 0-5%
Assignments 0-10%
Final exam 30-40%

Note:  Students may be required to pass the final exam in order to be eligible to pass the course.

Learning Outcomes

At the end of the course, the successful student will be able to:

  • Define the terms “population” and “sample” as they apply to Statistics
  • Define and differentiate between the nominal, ordinal, interval and ratio levels of measurement
  • Explain the proper use of Statistics within real world application and provide examples of its abuse
  • Have an understanding of experimental design and the use of random number tables and generators
  • Create and interpret frequency tables, histograms, cumulative frequency tables, stem and leaf displays and scatter plots
  • Calculate and interpret measures of central tendency and variation
  • Calculate and interpret standard scores
  • Use the classical and relative frequency approaches to probability and counting techniques to solve problems
  • Know and apply the addition and multiplication rules for probability and the concept of conditional probability
  • Be able to differentiate between discrete and continuous random variables
  • Determine whether the conditions for a Binomial experiment apply and compute the Binomial probabilities
  • Compute the mean, variance and standard deviation for the Binomial distribution
  • Compute the mean and variance of a linear combination of independent random variables (optional)
  • Determine probabilities of standard and non-standard normal random variables
  • Use the Normal distribution to approximate Binomial probabilities
  • Apply the Student t distribution
  • Apply the Central Limit Theorem to estimate probabilities associated with sample spaces when the population is sufficiently large     
  • Perform hypothesis tests on population parameters or the difference between population parameters.
  • Create confidence intervals for population parameters or their difference using large and small samples.
  • Create Contingency Tables and perform goodness-of-fit testing in multinomial experiments using the Chi-square test. (optional)
  • Apply Chebychev’s theorem (optional)
  • Apply the Poisson and other probability distributions (optional)
Textbook Materials

Consult the Douglas College bookstore for the current textbook. Sample textbooks:


Triola, Essentials of Statistics, Pearson, current edition
De Veaux et al, Stats: Data and Models, Pearson, current edition
Moore, Basic Practice of Statistics, Freeman, current edition

A calculator with statistical functionality may also be required.

Requisites

Prerequisites

MATH 1105; or

Precalculus 11 with a B or better; or

Precalculus 12 with a C or better; or

Foundations of Math 11 with a B or better; or

Foundations of Math 12 with a C or better.

Corequisites

No corequisite courses.

Equivalencies

No equivalent courses.

Requisite for

This course is not required for any other course.

Course Guidelines

Course Guidelines for previous years are viewable by selecting the version desired. If you took this course and do not see a listing for the starting semester / year of the course, consider the previous version as the applicable version.

Course Transfers

Institution Transfer Details Effective Dates
Athabasca University (AU) AU MATH 215 (3) 2018/09/01 to -
Camosun College (CAMO) CAMO STAT 116 (4) 2019/01/01 to -
Camosun College (CAMO) CAMO MATH 116 (4) 2013/09/01 to 2015/08/31
Capilano University (CAPU) CAPU STAT 101 (3) 2004/09/01 to -
Coast Mountain College (CMTN) CMTN MATH 131 (3) 2016/09/01 to -
College of New Caledonia (CNC) CNC MATH 104 (3) 2004/09/01 to -
College of the Rockies (COTR) COTR STAT 106 (3) 2019/09/01 to -
Coquitlam College (COQU) COQU STAT 101 (3) 2004/09/01 to -
Kwantlen Polytechnic University (KPU) KPU MATH 1115 (3) 2004/09/01 to -
Langara College (LANG) LANG STAT 1123 (3) or LANG STAT 1124 (3) 2004/09/01 to -
North Island College (NIC) NIC STA 115 (3) 2011/09/01 to -
Okanagan College (OC) OC STAT 121 (3) 2005/09/01 to -
Simon Fraser University (SFU) SFU STAT 201 (3) or SFU STAT 203 (3) or SFU STAT 205 (3), Q 2018/05/01 to -
Simon Fraser University (SFU) SFU STAT 101 (3) or SFU STAT 201 (3) or SFU STAT 203 (3), Q 2004/09/01 to 2018/04/30
Thompson Rivers University (TRU) TRU MATH 120 (3) 2004/09/01 to 2010/08/31
Thompson Rivers University (TRU) TRU STAT 1200 (3) 2010/09/01 to -
Trinity Western University (TWU) TWU MATH 102 (3) 2004/09/01 to 2016/04/30
Trinity Western University (TWU) TWU MATH 102 (3), *Does not equal MATH 108 2016/05/01 to -
University of British Columbia - Okanagan (UBCO) UBCO STAT 121 (3) 2005/05/01 to -
University of British Columbia - Vancouver (UBCV) UBCV STAT 203 (3), Not for credit in the faculty of Science. 2004/09/01 to -
University of Northern BC (UNBC) UNBC MATH 242 (3) 2004/09/01 to 2008/08/31
University of Northern BC (UNBC) UNBC STAT 240 (3) 2011/09/01 to -
University of Northern BC (UNBC) UNBC MATH 240 (3) 2008/09/01 to 2012/08/31
University of the Fraser Valley (UFV) UFV MATH 106 (4) 2004/09/01 to 2012/12/31
University of the Fraser Valley (UFV) UFV STAT 106 (4) 2013/01/01 to -
University of Victoria (UVIC) UVIC STAT 255 (1.5), Students in BCom program may be granted UVIC STAT 252 (1.5) 2004/09/01 to -
Vancouver Community College (VCC) VCC MATH 1111 (3) 2019/09/01 to -
Vancouver Island University (VIU) VIU MATH 1st (3) 2004/09/01 to 2018/08/31
Vancouver Island University (VIU) VIU MATH 161 (3) 2018/09/01 to -

Course Offerings

Fall 2020

CRN
Days
Dates
Start Date
End Date
Instructor
Status
Location
32381
Mon Wed
08-Sep-2020
- 07-Dec-2020
08-Sep-2020
07-Dec-2020
Marquise
Annie
Waitlist
Online
MATH 1160 001 - Students must ALSO register in one of MATH 1160 T01, T02, or T03.


This course will include synchronous on-line activities. Students should plan to be available on-line at scheduled course times.
Max
Enrolled
Remaining
Waitlist
35
35
0
4
Days
Building
Room
Time
Mon Wed
12:30 - 14:20
CRN
Days
Dates
Start Date
End Date
Instructor
Status
Location
32894
Mon Wed
08-Sep-2020
- 07-Dec-2020
08-Sep-2020
07-Dec-2020
Marquise
Annie
Waitlist
Online
MATH 1160 002 - Students must ALSO register in one of MATH 1160 T01, T02, or T03.


This course will include synchronous on-line activities. Students should plan to be available on-line at scheduled course times.
Max
Enrolled
Remaining
Waitlist
35
35
0
1
Days
Building
Room
Time
Mon Wed
14:30 - 16:20
CRN
Days
Dates
Start Date
End Date
Instructor
Status
Location
32895
Mon Wed
08-Sep-2020
- 07-Dec-2020
08-Sep-2020
07-Dec-2020
Sinclair
Peter
Waitlist
Online
MATH 1160 003 - Students must ALSO register in one of MATH 1160 T04, T05, or T06.


This course will include synchronous on-line activities. Students should plan to be available on-line at scheduled course times.
Max
Enrolled
Remaining
Waitlist
35
35
0
1
Days
Building
Room
Time
Mon Wed
16:30 - 18:20
CRN
Days
Dates
Start Date
End Date
Instructor
Status
Location
32896
Tue Thu
08-Sep-2020
- 07-Dec-2020
08-Sep-2020
07-Dec-2020
Sinclair
Peter
Waitlist
Online
MATH 1160 004 - Students must ALSO register in one of MATH 1160 T04, T05, or T06.


This course will include synchronous on-line activities. Students should plan to be available on-line at scheduled course times.
Max
Enrolled
Remaining
Waitlist
35
39
-4
2
Days
Building
Room
Time
Tue Thu
14:30 - 16:20
CRN
Days
Dates
Start Date
End Date
Instructor
Status
Location
34636
Wed
08-Sep-2020
- 07-Dec-2020
08-Sep-2020
07-Dec-2020
Marquise
Annie
Waitlist
Online
MATH 1160 T01 - Students must FIRST register in one of MATH 1160 section 001, or 002.


This course will include synchronous on-line activities. Students should plan to be available on-line at scheduled course times.
Max
Enrolled
Remaining
Waitlist
24
23
1
1
Days
Building
Room
Time
Wed
9:30 - 10:20
CRN
Days
Dates
Start Date
End Date
Instructor
Status
Location
34637
Wed
08-Sep-2020
- 07-Dec-2020
08-Sep-2020
07-Dec-2020
Marquise
Annie
Open
Online
MATH 1160 T02 - Students must FIRST register in one of MATH 1160 section 001, or 002.


This course will include synchronous on-line activities. Students should plan to be available on-line at scheduled course times.
Max
Enrolled
Remaining
Waitlist
24
22
2
0
Days
Building
Room
Time
Wed
10:30 - 11:20
CRN
Days
Dates
Start Date
End Date
Instructor
Status
Location
34638
Wed
08-Sep-2020
- 07-Dec-2020
08-Sep-2020
07-Dec-2020
Marquise
Annie
Waitlist
Online
MATH 1160 T03 - Students must FIRST register in one of MATH 1160 section 001, or 002.


This course will include synchronous on-line activities. Students should plan to be available on-line at scheduled course times.
Max
Enrolled
Remaining
Waitlist
24
25
-1
1
Days
Building
Room
Time
Wed
11:30 - 12:20
CRN
Days
Dates
Start Date
End Date
Instructor
Status
Location
34671
Fri
08-Sep-2020
- 07-Dec-2020
08-Sep-2020
07-Dec-2020
Sinclair
Peter
Full
Online
MATH 1160 T04 - Students must FIRST register in one of MATH 1160 section 003, or 004.


This course will include synchronous on-line activities. Students should plan to be available on-line at scheduled course times.
Max
Enrolled
Remaining
Waitlist
24
25
-1
0
Days
Building
Room
Time
Fri
9:30 - 10:20
CRN
Days
Dates
Start Date
End Date
Instructor
Status
Location
34672
Fri
08-Sep-2020
- 07-Dec-2020
08-Sep-2020
07-Dec-2020
Sinclair
Peter
Waitlist
Online
MATH 1160 T05 - Students must FIRST register in one of MATH 1160 section 003, or 004.


This course will include synchronous on-line activities. Students should plan to be available on-line at scheduled course times.
Max
Enrolled
Remaining
Waitlist
24
26
-2
2
Days
Building
Room
Time
Fri
10:30 - 11:20
CRN
Days
Dates
Start Date
End Date
Instructor
Status
Location
34673
Fri
08-Sep-2020
- 07-Dec-2020
08-Sep-2020
07-Dec-2020
Sinclair
Peter
Waitlist
Online
MATH 1160 T06 - Students must FIRST register in one of MATH 1160 section 003, or 004.


This course will include synchronous on-line activities. Students should plan to be available on-line at scheduled course times.
Max
Enrolled
Remaining
Waitlist
24
22
2
1
Days
Building
Room
Time
Fri
11:30 - 12:20
CRN
Days
Dates
Start Date
End Date
Instructor
Status
Location
35058
Tue
08-Sep-2020
- 07-Dec-2020
08-Sep-2020
07-Dec-2020
Schurch
Mark
Open
Online
MATH 1160 T10 - Students must FIRST register in MATH 1160 007.

This course will include synchronous on-line activities. Students should plan to be available on-line at scheduled course times.
Max
Enrolled
Remaining
Waitlist
24
19
5
0
Days
Building
Room
Time
Tue
14:30 - 15:20
CRN
Days
Dates
Start Date
End Date
Instructor
Status
Location
35233
Mon Wed
08-Sep-2020
- 07-Dec-2020
08-Sep-2020
07-Dec-2020
Schurch
Mark
Full
Online
MATH 1160 007 - Students must ALSO register in one of MATH 1160 T10 or T11.

This course will include synchronous on-line activities. Students should plan to be available on-line at scheduled course times.
Max
Enrolled
Remaining
Waitlist
35
36
-1
0
Days
Building
Room
Time
Mon Wed
16:30 - 18:20
CRN
Days
Dates
Start Date
End Date
Instructor
Status
Location
35235
Tue
08-Sep-2020
- 07-Dec-2020
08-Sep-2020
07-Dec-2020
Schurch
Mark
Open
Online
MATH 1160 T11 - Students must FIRST register in MATH 1160 007.

This course will include synchronous on-line activities. Students should plan to be available on-line at scheduled course times.
Max
Enrolled
Remaining
Waitlist
24
20
4
0
Days
Building
Room
Time
Tue
16:30 - 17:20
CRN
Days
Dates
Start Date
End Date
Instructor
Status
Location
35296
Mon Wed
08-Sep-2020
- 07-Dec-2020
08-Sep-2020
07-Dec-2020
Miller
Robert
Open
Online
MATH 1160 008 - Students must ALSO register in one of MATH 1160 T12 or T13.

This course will include synchronous on-line activities. Students should plan to be available on-line at scheduled course times.
Max
Enrolled
Remaining
Waitlist
35
32
3
0
Days
Building
Room
Time
Mon Wed
14:30 - 16:20
CRN
Days
Dates
Start Date
End Date
Instructor
Status
Location
36913
Tue
08-Sep-2020
- 08-Dec-2020
08-Sep-2020
08-Dec-2020
Miller
Robert
Waitlist
Online
MATH 1160 T12 - Students must FIRST register in MATH 1160 section 008.

This course will include synchronous on-line activities. Students should plan to be available on-line at scheduled course times.
Max
Enrolled
Remaining
Waitlist
24
17
7
1
Days
Building
Room
Time
Tue
13:30 - 14:20
CRN
Days
Dates
Start Date
End Date
Instructor
Status
Location
36914
Tue
08-Sep-2020
- 08-Dec-2020
08-Sep-2020
08-Dec-2020
Miller
Robert
Waitlist
Online
MATH 1160 T13 - Students must FIRST register in MATH 1160 section 008.

This course will include synchronous on-line activities. Students should plan to be available on-line at scheduled course times.
Max
Enrolled
Remaining
Waitlist
24
15
9
1
Days
Building
Room
Time
Tue
15:30 - 16:20