Learning Topics:
Data, range, mean, non-routine mean, median and mode. Data sets that are bimodal, have no mode, and with an even or an odd number of data.
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.
