# Ch 50: NMTA Middle Grades Math: Statistics

### About This Chapter

## NMTA Middle Grades Math: Statistics - Chapter Summary

You're probably excited to embark on your teaching career but maybe not so excited about taking the NMTA Middle Grades Mathematics test. If you feel your mind is a little rusty on statistics, let's polish it up! Our instructors are experts in math and they've created video lessons to help you learn and review statistics. As you study, you may also gather some teaching techniques for your own teaching arsenal.

So put aside the books and give your brain a break by turning on our videos. They're brief enough to fit into small breaks you may have throughout your busy day or just watch them all back to back. They'll take you through the fundamentals of statistics, like:

- Calculating central tendency such as averages, weighted averages, mean, median and mode
- Quantitative vs. qualitative data
- Differentiation between types of variables such as continuous, discrete and categorical
- Using nominal, ordinal, interval and ratio scales of measurement
- How to order and rank data
- Unimodal and bimodal distributions
- Analysis of data sets (maximums, minimums, outliers, quartiles, interquartile range, percentiles, standard deviation, etc.)

Following each video, you will find a mini-quiz so you can assess your understanding and retention. If you find yourself stuck on any concepts, ask our expert instructors for help.

### Objectives for the NMTA Middle Grades Math: Statistics Chapter

New Mexico uses the NMTA Middle Grades Mathematics test for teacher certification and endorsement. This is a computer-based test of 150 multiple-choice questions subdivided into 4 content domains. The fourth, Statistics, Probability and Discrete Mathematics, accounts for about 25% of the test and will be the most likely to contain questions about statistics.

The fourth domain of the test could assess, among other things, your ability to appropriately organize and display statistical data, analyze univariate and bivariate data and analyze measures of central tendency in a data set. Don't forget: the test is going to ask you questions in the context of teaching middle schoolers and how they learn. It's not just going to assess what you know about statistics since you probably know a lot more about the subject than you'll be teaching to middle schoolers. Our video lessons will help you review statistics concepts but also think about them in terms of middle grades education.

We're so excited that you have chosen us to help you study for the NMTA Middle Grades Math test! We want you to feel confident about your preparation when you arrive on test day!

### 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. 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.

### 3. 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.

### 4. 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.

### 5. 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.

### 6. 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.

### 7. 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.

### 8. 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.

### 9. 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!

### 10. 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.

### 11. 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!

### 12. 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.

### 13. 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.

### 14. 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.

### 15. 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.

### 16. 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 NMTA Middle Grades Mathematics (203): Practice & Study Guide course

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