Illinois State University Mathematics Department: MAT 312

Textbook: Chapter Reading Objectives and Focal Points



Chapter 1: Elements of Statistics
  • Explain or describe what is meant by each of the terms in the Chapter 1 vocabulary list (p 16).
  • Identify the population, the sample, the variables, the raw data, sample statistics, and population parameters, given the description of a survey (as in the Focus on Understanding on page 3).
  • Identify and provide examples of each of the sampling techniques discussed in Chapter 1 and explain your reasoning.
  • Classify types of data and give examples of the different data types and explain your reasoning.

Chapter 2: Organizing and Displaying Data
  • Explain or describe what is meant by each of the terms in the vocabulary list.
  • Construct and interpret frequency and relative frequency tables for both categorical and numerical data.
  • Construct, interpret, and compare bar graphs and circle graphs for categorical data.
  • Construct, interpret, and compare histograms, stem-and-leaf plots, line plots, and line graphs for numerical data.
  • Choose an appropriate graph for a given data set. Identify potentially misleading features of graphs.


Chapter 3:  Describing Data with Numbers
  • Explain or describe what is meant by each of the terms in the vocabulary list.
  • Given a data set, calculate the mean, median, mode, range, sample standard deviation, and sample variance.
  • Create a data set that has a given mean, median, mode, range, and sample standard deviation.
  • Predict what will happen to the mean and median when values are added or deleted to a data set.
  • Apply and calculate a weighted mean.
  • Calculate the z-score for an item or items in a data set.
  • Given a z-score and the corresponding mean and standard deviation for a data set, determine the value of the original data item.
  • Calculate the five-number summary for a given data set and use that information to construct a box-and-whiskers plot.
  • Determine the outliers for a data set using the interquartile range.
  • Given a box-and-whiskers plot, determine the median, lower quartile, upper quartile, maximum value, and minimum value.
  • Compare multiple data distributions using box-and-whisker plots.

Chapter 4:  Data with Two Variables
  • Explain or describe what is meant by each of the terms in the vocabulary list.
  • Construct a scatter plot from a given data set.
  • Determine whether a scatter plot shows positive correlation, negative correlation, or no correlation.
  • Calculate and interpret the Pearson's correlation coefficient for a two-variable data set.
  • Use Pearson's correlation coefficient to determine the strength and direction of a linear relationship between two variables.
  • Determine the equation of a line when you know two points on the line or you know a point on the line and the slope of the line.
  • Calculate the least-squares linear regression equation for a two-variable data set.
  • Use the least-squares line to make predictions about values of variables.
  • Calculate and plot the median-median line for a two-variable data set.
  • Use the median-median line to make predictions about values of variables.

Chapter 5:  Probability
  • Explain or describe what is meant by each of the terms in the vocabulary list.

Chapter 6:  Counting Techniques
  • Explain or describe what is meant by each of the terms in the vocabulary list.

Chapter 7:  Random Variables and Probability Distributions
  • Explain or describe what is meant by each of the terms in the vocabulary list.

Chapter 8:  Distributions From Random Samples
  • Explain or describe what is meant by each of the terms in the vocabulary list.

Chapter 9:  Estimating with Confidence
  • Explain or describe what is meant by each of the terms in the vocabulary list.

Chapter 10:  Testing Hypoteses
  • Explain or describe what is meant by each of the terms in the vocabulary list.