As our society increasingly calls for evidence-based decision making, it is important to consider how and when we can draw valid inferences from data. This module will use four recent research studies to highlight key elements of a statistical investigation.

This course is an introduction to statistical data analysis. Topics are chosen from applied probability, sampling, estimation, hypothesis testing, linear regression, analysis of variance, categorical data analysis, and nonparametric statistics.

Statistical thinking is a way of understanding a complex world by describing it in relatively simple terms that nonetheless capture essential aspects of its structure, and that also provide us some idea of how uncertain we are about our knowledge. The foundations of statistical thinking come primarily from mathematics and statistics, but also from computer science, psychology, and other fields of study.

A general statistics course, which includes understanding data, measures of central tendency, measures of variation, binomial distributions, normal distributions, correlation and regression, probability and sampling distributions, Central Limit Theorem, confidence intervals, estimates of population parameters and hypothesis testing.  Interpretation and data analysis are emphasized. PREREQUISITES: A grade of C or better in MAT 100 (Intermediate Algebra) or MAT 120 (Math Modeling for Liberal Arts) and placement above or successful completion of ENG 060 (Preparations for College Reading III).  A student needs a thorough knowledge of Algebra, good reading skills and familiarity with the graphing calculator before entering this course.

IBPS has conducted an exam for the recruitment of personnel to be posted in ABC Bank. The average score of all the candidates was found to be 140. CMR B School, Bengaluru claims that the candidates who have attended coaching class conducted by their Placement Cell have got scores more than the overall average. The following are the scores obtained by 22 students of the Placement Cell of CMR B School. You are required to test whether the average score obtained by the students of the Placement Cell of CMR B School differs from the overall average. The scores obtained by the students of the Placement Cell of CMR B School are as follows:

This resource is a lesson gudie for an approach to probability that is collaborative among students and designed to have students experience probability from their own unique perspectives. Some of the goals of the work are to:understand the different approaches in probabilitydeepen intuitive experience of probability by facing probabilistic misconceptionsconduct probability experimentsBuilt in as a goal is the soft skill of conducting research for refereed articles, going beyond internet searches and subsequent page hits in terms of curating resources that can lead to success in a probability class.

This resource is a lesson gudie for an approach to probability that is collaborative among students and designed to have students experience probability from their own unique perspectives. Some of the goals of the work are to:understand the different approaches in probabilitydeepen intuitive experience of probability by facing probabilistic misconceptionsconduct probability experimentsBuilt in as a goal is the soft skill of conducting research for refereed articles, going beyond internet searches and subsequent page hits in terms of curating resources that can lead to success in a probability class.

This course is an introduction to probability and statistics. Students will engage in elementary principles and applications of descriptive statistics, counting principles, elementary probability principles, probability distributions, estimation parameters, hypothesis testing, linear regression and correlation, and ANOVA. Students will utilize the application of technology for various statistical analyses.This assignment asks students to incorporate their identity, skill development, intellect, and critically based on the work of Cultivating Giunus by Dr. Gholdy Muhhamad. Students are asked to analyze the work they have produced throughout the semester and select two works per each student's learning outcome. 

This 8-minute video lesson provides analysis of variance 1: Calculating SST (Total Sum of Squares). [Statistics playlist: Lesson 75 of 85]

This 13-minute video lesson provides analysis of variance 2: Calculating SSW and SSB (total sum of squares within and between). [Statistics playlist: Lesson 76 of 85]

This 12-minute video lesson plays with the formula for variance of a population. And looks at alternate variance formulas. [Statistics playlist: Lesson 16 of 85]

This 7-minute video lesson gives formulas for the Bernoulli Distribution Mean and Variance. [Statistics playlist: Lesson 42 of 85]

This 10-minute video lesson explains box and whisker plots. [Statistics playlist: Lesson 9 of 85]

This 8-minute video lesson takes problems from CK12.org to discuss using the Empirical Rule with a standard normal distribution. [Statistics playlist: Lesson 33 of 85]

This 6-minute video lesson uses problems from CK12.org to provide more Empirical Rule and Z-score practice. [Statistics playlist: Lesson 34 of 85]

This 10-minute video lesson takes some problems from CK12.org and uses the empirical rule (or 68-95-99.7 rule) to estimate probabilities for normal distributions. [Statistics playlist: Lesson 32 of 85]

This 11-minute video lesson takes some problems from CK12.org and discusses of how "normal" a distribution might be. [Statistics playlist: Lesson 30 of 85]

This 10-minute video lesson shows how to calculate R-squared to see how well a regression line fits the data. [Statistics playlist: Lesson 70 of 85]

This 10-minute video lesson introduces the chi-square distribution. [Statistics playlist: Lesson 72 of 85]

This 3-minute video lesson provides clarification of the previous video on the confidence interval for difference of means. [Statistics playlist: Lesson 57 of 85]