MTH 241-242 Syllabus

Division:        Arts and Sciences                                                                                                                           Date:  February 2014

Curricula in Which Course is Taught: Liberal Arts, Science

Course Number and Title:   MTH 241, Statistics I and MTH 242, Statistics II

Credit Hours: 3 cr each     Hours/Wk Lecture: 3 hrs each                 Hours/Wk Lab: 0                 Lec/Lab Comb: 3 hrs each


I.              Catalog Description: MTH 241 covers descriptive statistics, elementary probability, probability distributions, estimation, and hypothesis testing. Prerequisites: a placement recommendation for MTH 241 and MTH 163 or MTH 166 or equivalent. (Credit will not be awarded for both MTH 240 and MTH 241.) MTH 242 continues the study of estimation and hypothesis testing with emphasis on correlation and regression, analysis of variance, chi-square tests, and non-parametric methods.


II.            Relationship of the course to curricula objectives in which it is taught:

This is a two part course in a yearlong study of statistics that involves critical thinking and the use of mathematical reasoning that may be applied to various disciplines.

III.           Required background:    MTH 163 or equivalent

IV.          Course Content:

A.    Information for Decision Making

B.     Charts and Tables

C.     Frequency Distributions

D.    Measures of Central Tendency

E.     Relationships Among Averages

F.      Measures of Dispersion

G.    Range, quartiles, deciles, and percentiles

H.    Relative Dispersion and Skewness

I.       Interpreting Descriptive Measures

J.       Basic Probability Concepts and Distributions

K.    Normal, Binomial, and Poisson Distribution

L.     Statistical Inference

M.   Point and Interval Estimates

N.    Hypothesis Testing: Large Samples, Small Samples, Proportion

O.    Analysis of Variance

P.      Chi-Square Tests


V. Learner Outcomes


The Student will be able to:

VI. Evaluation

A.   Identify different types of data

B.   Prepare frequency and cumulative frequency distributions for grouped and ungrouped data.

C.   Read statistical graphs and use the graphs to analyze the data

D.   Calculate measures of center (mean, median and mode and determine which it

most appropriate

E.   Calculate measures of dispersion (range, variance and standard deviation)

F.    Calculate measure of relative position (percentiles, quartiles and standard scores)

G.   Calculate probabilities

H.   Explain the concept of sampling distributions and the Central Limit Theorem.

I.      Find areas under the standard normal distribution

J.    Construct Confidence Interval for population mean and proportion

K.   Perform tests for significance (hypothesis tests) for Means,  Proportions

L.    Perform  Hypothesis Testing with Two Samples

M.    Apply linear regression to estimate the linear relationship between two variables


          Students will be assessed by some combination of quizzes, tests, homework, and exams as defined by faculty. Students will use calculators only after demonstrating mastery of essential deductive skills without them.

 VII.   This course supports the following objectives:


DCC Educational Objectives:

Critical Thinking
Quantitative Reasoning