Understand why we study statistics

Explain what is meant by descriptive statistics and inferential statistics.

Distinguish between a qualitative variable and a quantitative variable.

Distinguish between a discrete variable and a continuous variable.

Distinguish among nominal, ordinal, interval, and ratio levels of measurement.

Define the terms mutually exclusive and exhaustive.                     

Organize raw data into a frequency distribution.

Portray a frequency distribution as a histogram, a frequency polygon, and a cumulative frequency distribution.

Develop and interpret a stem-and-leaf display.

Present data using such graphic techniques as line charts, bar charts, and pie charts.

Calculate the arithmetic mean, weighted mean, median, mode, and the geometric mean.

Explain the characteristics, use, advantages, and disadvantages of each measure.

Identify the position of the arithmetic mean, median, and mode for both symmetric and skewed distributions.

Compute and interpret the range, the mean deviation, the variance, and the standard deviation of ungrouped data.

Compute and interpret the range, the variance, and the standard deviation of grouped data.

Explain the characteristics, uses, advantages, and disadvantages of each measure.

Understand Chebyshev's Theorem and the Normal, or Empirical Rule, as they relate to a set of observations.

Compute and interpret quartiles and the interquartile range.

Construct and interpret box plots.

Compute and understand the coefficient of skewness and the coefficient of variation.

Define probability.

Describe the classical, the empirical, and the subjective approaches to probability.

Understand the terms: experiment, event, outcome, permutations and combinations.

Define the terms: conditional probability and joint probability.

Calculate probabilities, using the rules of addition and the rules of multiplication.

Use a tree diagram to organize and compute probabilities.

Calculate a probability using Bayes' Theorem.

Define the terms probability distribution and random variable.

Distinguish between discrete and continuous probability distributions.

Calculate the mean, variance, and standard deviation of a discrete probability distribution.

Describe the characteristics and compute probabilities using the binomial probability distribution.

Describe the characteristics and compute probabilities using the hypergeometric distribution.

Describe the characteristics and compute probabilities using the Poisson distribution.

List the characteristics of a normal probability distribution.

Define and calculate z values. Determine the probability an observation is between two points on a normal distribution using the standard normal distribution.

Determine the probability that an observation is above (or below) a point on a normal distribution using the standard normal distribution.

Compare two or more observations that are on different probability distributions. Use the normal probability distribution to approximate the binomial probability distribution.

Explain why a sample is often the only feasible way to learn something about a population.

Describe methods to select a sample.

Define and construct a sampling distribution of the sample means.

Explain the Central Limit Theorem

Use the Central Limit Theorem to find probabilities of selecting possible sample means from a specified population.