# Ch 51: MEGA Middle School Math: Statistics

### About This Chapter

## MEGA Middle School Math: Statistics - Chapter Summary

Learn how to apply concepts in statistics to real-world calculations and problems with the lessons in this chapter. You will have the opportunity to study visual examples that will enhance your learning experience. In these lessons, you can expect to cover the following topics that will best prepare you to answer questions on the MEGA Middle School mathematics exam:

- Learning how to calculate a weighted average
- Explaining how to measure central tendency
- Reviewing formulas for calculating mean, median, range, and mode
- Defining spread and center in data sets
- Ordering data
- Understanding the standard deviation as well as minimums, outliers and maximums
- Discussing continuous and discrete variables
- Identifying levels of measurement

Instructors present the material in a fun and engaging way. Short quizzes at the end of each lesson are in the same multiple-choice format as you will find on the actual MEGA Middle School mathematics exam. They are great tools for reviewing topics you will likely find on the test.

### MEGA Middle School Math: Statistics Chapter Objectives

The Statistics chapter is designed to help you reinforce your knowledge of topics you will be tested on in the fourth content domain of the computer-based MEGA Middle Grades mathematical exam. Demonstrating mastery of statistics will help you gain the certification necessary to teach these topics at the middle-grade level. The fourth content domain, which covers statistics and probability, counts for 18% of the test score. The MEGA Middle School Mathematics exam consists of 80 multiple-choice questions.

MEGA certification exams are offered in general assessment as well as content areas. Educators at pre-K-12 levels must gain certification in whatever content area they desire to teach. Required exams are also given to aspiring teachers who were accepted and are entering educator preparation programs.

### 1. Identifying & Calculating Averages

After watching this video lesson, you will be able to calculate any kind of average, even the average of certain events when some events repeat. Learn the general formula to use to calculate any average.

### 2. Calculating Weighted Average: Method, Formula & Example

This lesson will examine the concept of a weighted average and types of situations when it should be used instead of a standard average. It will also give some real-world examples of a weighted average.

### 3. Mean, Median & Mode: Measures of Central Tendency

By describing the data using central tendency, a researcher and reader can understand what the typical score looks like. In this lesson, we will explore in more detail these measures of central tendency and how they relate to samples and populations.

### 4. How to Calculate Mean, Median, Mode & Range

Measures of central tendency can provide valuable information about a set of data. In this lesson, explore how to calculate the mean, median, mode and range of any given data set.

### 5. Calculating the Mean, Median, Mode & Range: Practice Problems

Calculating the mean, median, mode, and range of a data set is a fundamental part of learning statistics. Use this video to practice your skills and then test your knowledge with a short quiz.

### 6. What is Quantitative Data? - Definition & Examples

Watch this video lesson to find out the difference between saying you have seven apples and saying that those apples are delicious. You will learn about quantitative data and why it is useful.

### 7. Continuous, Discrete & Categorical Variables: Definition and Examples

When doing research, variables come in many types. In this lesson, we'll explore the three most common types of variables: continuous, discrete, and categorical.

### 8. Scales of Measurement: Nominal, Ordinal, Interval & Ratio

When doing research, variables are described on four major scales. In this lesson, we'll look at the major scales of measurement, including nominal, ordinal, interval, and ratio scales.

### 9. Ordering & Ranking Data: Process & Example

Ordering and ranking data can often be more important than you might think. In addition to being an important part of competitions, ranking data can be another way of analyzing and evaluating research.

### 10. What is the Center in a Data Set? - Definition & Options

Finding the center in a data set can sometimes be a little confusing. This lesson will help you determine the correct method for finding the center in a data set, and when you are finished, test your knowledge with a short quiz!

### 11. Visual Representations of a Data Set: Shape, Symmetry & Skewness

Visual representations are a fantastic way of understanding and analyzing your data. Use this lesson to understand the characteristics of visual representations of data.

### 12. Unimodal & Bimodal Distributions: Definition & Examples

Sometimes a single mode does not accurately describe a data set. In this lesson, learn the differences between and the uses of unimodal and bimodal distribution. When you are finished, test your knowledge with a quiz!

### 13. Spread in Data Sets: Definition & Example

Identifying the spread in data sets is a very important part of statistics. You can do this several ways, but the most common methods are through range, interquartile range, and variance.

### 14. Maximums, Minimums & Outliers in a Data Set

When analyzing data sets, the first thing to identify is the maximums, minimums, and outliers. This lesson will help you learn how to identify these important items.

### 15. Quartiles & the Interquartile Range: Definition, Formulate & Examples

Quartiles and the interquartile range can be used to group and analyze data sets. In this lesson, learn the definition and steps for finding the quartiles and interquartile range for a given data set.

### 16. Finding Percentiles in a Data Set: Formula & Examples

Percentiles are often used in academics to compare student scores. Finding percentiles in a data set can be a useful way to organize and compare numbers in a data set.

### 17. Calculating the Standard Deviation

In this lesson, we will examine the meaning and process of calculating the standard deviation of a data set. Standard deviation can help to determine if the data set is a normal distribution.

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### Other Chapters

Other chapters within the MEGA Middle School Mathematics: Practice & Study Guide course

- MEGA Middle School Math: Basic Arithmetic Operations
- MEGA Middle School Math: Solving Word Problems
- MEGA Middle School Math: Properties of Numbers
- MEGA Middle School Math: Estimating & Rounding
- MEGA Middle School Math: Number Theory
- MEGA Middle School Math: Roots & Radical Expressions
- MEGA Middle School Math: Exponents & Exponential Expressions
- MEGA Middle School Math: Scientific Notation
- MEGA Middle School Math: Simplifying Whole Number Expressions
- MEGA Middle School Math: Integers
- MEGA Middle School Math: Rational Numbers
- MEGA Middle School Math: Introduction to Fractions
- MEGA Middle School Math: Operations with Fractions
- MEGA Middle School Math: Introduction to Decimals
- MEGA Middle School Math: Operations with Decimals
- MEGA Middle School Math: Percents
- MEGA Middle School Math: Money & Consumer Math
- MEGA Middle School Math: Number Patterns & Sequences
- MEGA Middle School Math: Properties of Functions
- MEGA Middle School Math: Graphing Functions
- MEGA Middle School Math: Negative Numbers
- MEGA Middle School Math: Absolute Value
- MEGA Middle School Math: Inequalities
- MEGA Middle School Math: Factoring
- MEGA Middle School Math: Monomials & Polynomials
- MEGA Middle School Math: Writing Algebraic Expressions
- MEGA Middle School Math: Basic Algebraic Expressions
- MEGA Middle School Math: Algebraic Distribution
- MEGA Middle School Math: Solving One-Step Equations
- MEGA Middle School Math: Solving Two-Step Equations
- MEGA Middle School Math: Simplifying Rational Expressions
- MEGA Middle School Math: The Coordinate Graph
- MEGA Middle School Math: Linear Equations
- MEGA Middle School Math: Systems of Linear Equations
- MEGA Middle School Math: Rates, Ratios & Proportions
- MEGA Middle School Math: Measurements
- MEGA Middle School Math: Perimeter & Area
- MEGA Middle School Math: Polyhedrons & Geometric Solids
- MEGA Middle School Math: Symmetry, Similarity & Congruence
- MEGA Middle School Math: Properties of Lines
- MEGA Middle School Math: Angles
- MEGA Middle School Math: Triangles
- MEGA Middle School Math: Triangle Theorems & Proofs
- MEGA Middle School Math: Similar Polygons
- MEGA Middle School Math: The Pythagorean Theorem
- MEGA Middle School Math: Quadrilaterals
- MEGA Middle School Math: Circles
- MEGA Middle School Math: Circular Arcs & Measurement
- MEGA Middle School Math: Transformations
- MEGA Middle School Math: Data & Graphs
- MEGA Middle School Math: Data Collection
- MEGA Middle School Math: Samples & Populations
- MEGA Middle School Math: Probability
- MEGA Middle School Math: Sets
- MEGA Middle School Mathematics Flashcards