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SMC|Academic Programs|Mathematics|Math 54 - Elementary Statistics

Math 54 - Elementary Statistics

Course Details

Description

Emphasis is on understanding statistical methods. The major topics include frequency distributions, measures of central tendency, variation, sampling, correlation, probability and hypothesis testing.

Prerequisite

Math 20

How It Transfers

UC, CSU IGETC AREA 2 (Mathematical Concepts)

Textbook

Triola, M., Elementary Statistics, 9th Ed., Addison-Wesley, 2004

Mathematics Skills Associated With This Course

Entry Level Skills

Skills the instructor assumes you know prior to enrollment in this course

  • Solve linear and non-linear equations. 
  • Simplify advanced numerical expressions (order of operations).
  • Plot and interpret points on cartesian coordinate system.
  • Plot linear equations using slope-intercept method. 
  • Translate verbally stated problems into appropriate mathematical forms. 
  • Solve absolute value equations and inequalities in a single variable. 
  • Evaluate an exponential function. 
  • Evaluate simple expressions involving sigma notation. 
  • Solve literal equations for designated variables. 
  • Evaluate complex numerical expressions. 
  • Given the description of a line, write the equation of the line. 
  • Express the solution to an inequality using interval notation.
Course Objectives

Skills to be learned during this course

  • Summarize data using a frequency table.
  • Summarize data in pictorial forms.
  • Find measures of central tendency and dispersion.
  • Solve basic probability problems.
  • Formulate a probability distribution.
  • Formulate and test hypotheses made about one population parameters (mean, proportion, variance and standard deviation) using the traditional and p-value approaches. 
  • Formulate and analyze point and interval estimates for one population parameters (mean, proportion, variance and standard deviation).
  • Formulate and test hypotheses made about the difference between the means and proportions of two populations.
  • Formulate and analyze point and interval estimates for the difference between the means and proportions of two populations.
  • Formulate and test hypotheses made about the standard deviation and variance of two populations.
  • Formulate and test hypotheses of independence between two variables.
  • Formulate and test for equality of three or more population means using ANOVA
  • Find the correlation between two variables and the linear regression equation describing the relation between two variables.
  • Find the correlation between two variables using the non-parametric method of rank correlation.