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.