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Ch 44: MTLE Mathematics: Summarizing & Analyzing Data

About This Chapter

Go over methods of summarizing and analyzing data with this chapter. Reviewing these techniques for understanding data helps you prepare to answer relevant questions on the MTLE Mathematics exam.

MTLE Mathematics: Summarizing & Analyzing Data - Chapter Summary

The MTLE Mathematics exam will include questions that deal with summarizing and analyzing data. Make sure you're ready to answer them by reviewing the following topics with the video lessons in this chapter:

  • Descriptive and inferential statistics
  • Confidence intervals
  • Statistical significance, reliability and validity
  • Center, shape, spread, mean, median and mode
  • Data sets
  • Types of distributions
  • Using data
  • Linear transformations and sample variance

These engaging video lessons help you go over different options for handling data. You can review types of statistics and options for displaying data with the quizzes at the end of each lesson.

15 Lessons in Chapter 44: MTLE Mathematics: Summarizing & Analyzing Data
Test your knowledge with a 30-question chapter practice test
Descriptive & Inferential Statistics: Definition, Differences & Examples

1. Descriptive & Inferential Statistics: Definition, Differences & Examples

Descriptive and inferential statistics each give different insights into the nature of the data gathered. One alone cannot give the whole picture. Together, they provide a powerful tool for both description and prediction.

Calculating Confidence Intervals, Levels & Coefficients

2. Calculating Confidence Intervals, Levels & Coefficients

In this lesson, you're going to learn about confidence intervals, confidence levels, and coefficients, and how they relate to point estimates and interval estimates.

Finding Confidence Intervals with the Normal Distribution

3. Finding Confidence Intervals with the Normal Distribution

In this lesson, you're going to learn how to construct a confidence interval when the population's standard deviation is known and the population is normally distributed.

Determining the Sample Size to Estimate Confidence Intervals: Definition & Process

4. Determining the Sample Size to Estimate Confidence Intervals: Definition & Process

In this lesson, you will learn how to determine the most appropriate sample size to find the confidence interval we need using a specific case example.

Statistical Significance: Definition & Calculation

5. Statistical Significance: Definition & Calculation

Watch this video lesson to learn about statistical significance, and how it relates to surveys and other real world events. Also, learn how it is calculated, and how you can describe it to others.

Reliability & Validity in Psychology: Definitions & Differences

6. Reliability & Validity in Psychology: Definitions & Differences

How do validity and reliability contribute to study design in psychology? In this lesson, you'll look at how experiments can fail reliability and validity requirements to get an idea of the challenges behind conducting significant psychological research.

What are Center, Shape, and Spread?

7. What are Center, Shape, and Spread?

Center, shape, and spread are all words that describe what a particular graph looks like. Watch this video lesson to see how you can identify and explain each.

Mean, Median & Mode: Measures of Central Tendency

8. 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.

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

9. 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.

Unimodal & Bimodal Distributions: Definition & Examples

10. 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!

Spread in Data Sets: Definition & Example

11. 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.

Summarizing Categorical Data using Tables

12. Summarizing Categorical Data using Tables

Watch this video lesson to find out why data tables are an excellent way to summarize your categorical data. Learn what you need to do to your data before constructing a table and the two ways you can show your data.

The Effect of Linear Transformations on Measures of Center & Spread

13. 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.

Population & Sample Variance: Definition, Formula & Examples

14. 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.

Ordering & Ranking Data: Process & Example

15. 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.

Chapter Practice Exam
Test your knowledge of this chapter with a 30 question practice chapter exam.
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Practice Final Exam
Test your knowledge of the entire course with a 50 question practice final exam.
Not Taken

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Other Chapters

Other chapters within the MTLE Mathematics: Practice & Study Guide course

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