Introduction to Statistics

Learning Objectives for all Introduction to Statistics lessons in Unit 8.


Range

The student will be able to:

  • Define data and range.
  • Examine a real-world problem in which the range of a set of whole numbers is found.
  • Examine a real-world problem in which the range of a set of decimals is found.
  • Examine a real-world problem in which the range of a set of integers is found.
  • Compute the range of a set of numbers.
  • Describe the procedure for computing the range of a set of numbers.
  • Apply range procedures to complete five interactive exercises.

Mean

The student will be able to:

  • Define arithmetic mean.
  • Examine real-world problems in which the mean of a set of whole numbers is computed.
  • Examine real-world problems in which the mean of a set of decimals is computed.
  • Describe the procedure for finding the mean of a set of numbers.
  • Compute the mean of a set of numbers.
  • Apply arithmetic mean procedures to complete five interactive exercises.

Non-Routine Mean

The student will be able to:

  • Examine non-routine problems that involve an arithmetic mean.
  • Determine the sum of n numbers given the mean and the value of n.
  • Determine n given the sum of n numbers and the mean.
  • Determine the missing number in a set of data given the mean and the other numbers in that set.
  • Examine non-routine problems involving an arithmetic mean.
  • Apply non-routine mean procedures to complete five interactive exercises.

Median

The student will be able to:

  • Define median.
  • Examine real-world problems in which the median of a set of whole numbers is computed.
  • Examine real-world problems in which the median of a set of decimals is computed.
  • Differentiate between finding the median of an odd number of items and an even number of items.
  • Describe the procedure for finding the median of a set of data.
  • Compute the median for an odd number of items and for an even number of items.
  • Apply median procedures to complete five interactive exercises.

Mode

The student will be able to:

  • Define mode and bimodal.
  • Examine real-world problems in which the mode of a set of whole numbers, decimals or integers is computed.
  • Examine problems for which there is no mode.
  • Examine problems for which the data is bimodal.
  • Examine problems for which the mode is zero.
  • Differentiate between sets of data with no mode, a mode of zero and two modes.
  • Determine the mode of a set of data.
  • Apply mode procedures to complete five interactive exercises.

Practice Exercises

The student will be able to:

  • Examine ten interactive exercises for all topics in this unit.
  • Determine which concepts and procedures are needed to complete each practice exercise.
  • Compute answers by applying appropriate concepts and procedures.
  • Self-assess knowledge and skills acquired from this unit.

Challenge Exercises

The student will be able to:

  • Evaluate ten interactive exercises with word problems for all topics in this unit.
  • Analyze each problem to identify the given information.
  • Formulate a strategy for solving each problem.
  • Apply strategies to solve routine and non-routine problems.
  • Synthesize all information presented in this unit.
  • Identify connections between basic statistics and the real world.
  • Develop problem-solving skills.

Solutions

The student will be able to:

  • Examine the solution for each exercise presented in this unit.
  • Identify which solutions need to be reviewed.
  • Compare solutions to completed exercises.
  • Identify and evaluate incorrect answers.
  • Amend and label original answers.
  • Identify areas of strength and weakness.
  • Decide which concepts and procedures need to be reviewed from this unit.