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Home » Exploring Data

Exploring Data
Your Path to Data Analysis

Boost your statistical knowledge—Unleash your data analysis potential—Excel in data visualization techniques

Categorical Data

1 hr 20 min 13 Examples

  • Introduction to Video: Understanding Data
  • Overview of Statistics, Element, Variable, Data, Inference, and Descriptive Stat
  • Types of Data: Categorical, Quantitative Discrete, and Quantitative Continuous
  • Identify the type of data presented (Problems #1-10)
  • Understanding data distribution and how to display categorical data
  • Given exam scores create a frequency table, relative frequency table, and cumulative frequency table (Problem #11a-c)
  • Given exam scores create a pie chart and bar graph (Problem #11d-e)
  • Overview of Contingency tables, join frequency, marginal frequency and marginal and conditional distribution
  • Given two-way table find totals, relative frequency, and marginal frequencies (Problem #12a-e)
  • Given two-way table find conditional distribution tables (Problem #12f)
  • Given contingency table find relative and marginal frequencies and side-by-side bar graph comparing the data (Problem #13)

Quantitative Data

1 hr 12 min 13 Examples

  • Introduction to Video: Displaying Quantitative Data
  • Overview of Univariate, Bivariate, Multivariate Data and Dot plots with Examples #1-2
  • Creating Stem-and-Leaf Plots with Examples #3-5
  • Create a back-to-back stem plot (Example #6)
  • Overview of how to create a Histogram using frequencies, relative frequencies and cumulative frequencies (Example #7)
  • Create a histogram given the data set (Examples #8-9)
  • Graphically display of a distribution important features, acronym, and understanding skewed distributions
  • Describe the distribution (Examples #10-13)

Measures Of Center

1 hr 08 min 10 Examples

  • Introduction to Video: Measuring Center
  • How do we find the Range, Mean, Median and Mode? with Example 1
  • How do we find the IQR? (Examples #2-3)
  • How do we use the IQR to determine Outliers? (Example #4)
  • Creating Box Plots and finding 5-summary statistics (Example #5)
  • Create a box and whisker plot and identify outliers (Example #6)
  • Describe the distribution given a box-plot (Example #7)
  • Finding Variance and Standard Deviation (Example #8)
  • Find all the measures of center of spread and determine which measures of center should be used for a given distribution (Examples #9-10)

Cumulative Frequency

1 hr 03 min 11 Examples

  • Introduction to Video: Describing Locations in Distributions
  • What are percentiles and how to find them? (Examples #1-2)
  • Overview of Cumulative Relative Frequency (Ogive) Graphs
  • Create an Ogive Graph and interpret your results (Example #3)
  • Understanding Cumulative Relative Frequency and Skewed Distributions
  • How do we standardize distributions? Finding standard values (z-scores) for data
  • Find the z-score or use the z-score to find the observed value (Examples #4-6)
  • How do we transform datasets and what does it do to the center, spread and shape?
  • What is a density curve? What are the properties of a density curve?
  • Given a density curve, determine the location of the mean, median and mode (Examples #7-10)
  • Given sample data find stemplot, percentiles, z-score, summary statistics, and transform data (Example #11)

Normal Distribution

57 min 5 Examples

  • Introduction to Video: Normal Distributions Review
  • Properties of Normal Distributions and Approximating using the Empirical Rule
  • Use the 68-95-99.7 Rule to find desired percentages (Examples #1-2)
  • Standard Normal Distributions (Example #3)
  • Use the standard normal distribution to find percentages (Example #4)
  • Find the mean and standard deviation using the standard normal distribution and systems of equations (Example #5)

Sampling Methods

40 min 5 Examples

  • Introduction to Video: Sampling and Surveys
  • Overview of Population, Sample, Surveys, Bias, and Bad Sampling
  • What are the four types of Sampling Bias and what makes for Good Sampling?
  • Identify the population, sample and bias (Example #1)
  • Using a Table of Random Digits, create a sample (Example #2)
  • What type of sampling (SRS, Cluster Sampling, Stratified Sampling, Systematic Sampling) is being used (Example #3)
  • Identifying wording bias (Example #4)
  • Determine whether the numerical value is a parameter or a statistic (Example #5)

Experimental Design

1 hr 06 min 11 Examples

  • Introduction to Video: Experiments
  • Observational Study vs Experimental Study and Response and Explanatory Variables (Examples #1-4)
  • Identify the response and explanatory variables and the experimental units and treatment (Examples #5-6)
  • Introduction of lurking variables and confounding with ice cream and homicide example
  • Lurking variables, Confounding, Placebo Effect, Single Blind and Double Blind Experiments (Example #7)
  • What was the placebo effect and was the experiment single or double blind? (Example #8)
  • Characteristics of a well designed and constructed experiment that is statistically significant
  • Overview of Complete Randomized Design, Block Design and Matched Pair Design
  • Design and experiment using complete randomized design or a block design (Examples #9-10)
  • Identify the response and explanatory variables, experimental units, lurking variables, and design an experiment to test a new drug (Example #11)

Chapter Test

1 hr 59 min 22 Problems

  • Identify as Categorical or Quantitative (Problem 1)
  • Create dot plot, stem-plot, histogram and approximate shape and center (Problem 2)
  • Identify summary statistics and any outliers, create box plot, and describe the distribution(Problem 3)
  • Given the two-way table find marginal values and conditional distributions (Problem 4)
  • Sketch the normal distribution, find z-scores, and determine probabilities (Problem 5)
  • Using the cumulative frequency graph (Ogive graph) determine the percentiles (Problem 6)
  • For the following scenario determine the statistic, parameter, population, sample and parameter of interest (Problem 7)
  • Design a completely random experiment, an experiment using blocking, and determine any lurking variables (Problem 8)
  • Given a survey determine population and statistic and any potential problems (Problem 9)
  • Explain how to use a line of random digits to select a simple random sample (Problem 10)
  • Complete a two-way frequency table and determine probabilities (Problem 11)
  • Using a bar graph create a contingency table and determine probabilities (Problem 12)
  • Determine the type of bias (Problem 13)
  • For the following scenario would you use the mean or median to determine center? (Problem 14)
  • Determine True or False (Problems #15-22)
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