## 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.