# Ch 20: MTEL Mathematics (Elementary): Summarizing Data

### About This Chapter

## MTEL Mathematics (Elementary): Summarizing Data - Chapter Summary

Before taking the MTEL Mathematics (Elementary) assessment, it's nice to feel confident in your ability to answer any questions you may face. This chapter prepares you to address summarizing data on the exam. Reviewing comprehensive lessons enables you to:

- Define the center in a data set, and calculate mean, median, mode and range
- Differentiate between mean and median, and describe measures of dispersion and skewness
- Explain the concept of spread in data sets, and find the maximum, minimum and outliers in a data set
- Find quartiles, the interquartile range and percentiles in a data set
- Calculate the standard deviation, and define population and sample variance
- Describe the effect of linear transformations on measures of center and spread

Expert instructors provide step-by-step guidance to ensure you understand the definitions, explanations and mathematical operations associated with summarizing data. Review the lessons as videos or written transcripts depending on your learning style. When ready, test your knowledge of summarizing data by taking the self-assessment quiz with each lesson. A chapter exam offers a broader review of the subject area and ensures you're ready to answer questions on exam day.

### 1. 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!

### 2. 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.

### 3. The Mean vs the Median: Differences & Uses

Most people can find the mean and the median of a data set, but do you know when to use the mean and when to use the median to describe the information?

### 4. Measures of Dispersion and Skewness

Watch this video lesson to learn how you can describe your data using two different statistical characteristics. Learn what it means for your graph to have variability and what it means for your graph to be skewed.

### 5. 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.

### 6. 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.

### 7. 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.

### 8. 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.

### 9. 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.

### 10. The Effect of Linear Transformations on Measures of Center & Spread

Linear transformations can be a great way to manipulate and analyze data. This lesson will show you how those transformations affect the center and spread of data.

### 11. Population & Sample Variance: Definition, Formula & Examples

Population and sample variance can help you describe and analyze data beyond the mean of the data set. In this lesson, learn the differences between population and sample variance.

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### Other Chapters

Other chapters within the MTEL Mathematics (Elementary) (53): Practice & Study Guide course

- MTEL Mathematics (Elementary): Number Sense
- MTEL Mathematics (Elementary): Mathematical Operations
- MTEL Mathematics (Elementary): Factoring & Divisibility
- MTEL Mathematics (Elementary): Real Numbers
- MTEL Mathematics (Elementary): Prime Factorization
- MTEL Mathematics (Elementary): Rational Numbers
- MTEL Mathematics (Elementary): Properties of Numbers
- MTEL Mathematics (Elementary): Roots
- MTEL Mathematics (Elementary): Exponents
- MTEL Mathematics (Elementary): Exponential Expressions & Scientific Notation
- MTEL Mathematics (Elementary): Absolute Value
- MTEL Mathematics (Elementary): Integers
- MTEL Mathematics (Elementary): Estimating & Rounding
- MTEL Mathematics (Elementary): Principles of Fractions
- MTEL Mathematics (Elementary): Operations with Fractions
- MTEL Mathematics (Elementary): Introduction to Decimals
- MTEL Mathematics (Elementary): Operations with Decimals
- MTEL Mathematics (Elementary): Percents
- MTEL Mathematics (Elementary): Descriptive Statistics
- MTEL Mathematics (Elementary): Principles of Sampling
- MTEL Mathematics (Elementary): Regression & Correlation
- MTEL Mathematics (Elementary): Principles of Probability
- MTEL Mathematics (Elementary): Properties of Functions
- MTEL Mathematics (Elementary): Understanding Algebraic Expressions
- MTEL Mathematics (Elementary): Solving Algebraic Equations
- MTEL Mathematics (Elementary): Properties of Linear Relations
- MTEL Mathematics (Elementary): Graphing Linear Equations
- MTEL Mathematics (Elementary): Properties of Ratios & Proportions
- MTEL Mathematics (Elementary): Properties of Polynomial Functions
- MTEL Mathematics (Elementary): Properties of Quadratic Functions
- MTEL Mathematics (Elementary): Properties of Rational Functions
- MTEL Mathematics (Elementary): Properties of Exponential Functions
- MTEL Mathematics (Elementary): Principles of Measurement
- MTEL Mathematics (Elementary): Principles of Geometry
- MTEL Mathematics (Elementary): Understanding Lines in Geometry
- MTEL Mathematics (Elementary): Principles of Geometric Figures
- MTEL Mathematics (Elementary): Properties of Triangles
- MTEL Mathematics (Elementary): Proof of Theorems
- MTEL Mathematics (Elementary): Quadrilaterals
- MTEL Mathematics (Elementary): Polygons
- MTEL Mathematics (Elementary): Circles & Circular Arcs
- MTEL Mathematics (Elementary): Principles of Geometric Solids
- MTEL Mathematics (Elementary): Parallel Lines & Symmetry
- MTEL Mathematics (Elementary): Transformations in Geometry
- MTEL Mathematics (Elementary): Understanding Coordinate Geometry
- MTEL Mathematics (Elementary School) Flashcards