Ch 38: MTEL Middle School Math/Science: Probability & Statistics Calculations

About This Chapter

In this chapter, you will review methods for performing statistical and probability calculations. The lessons have been designed to help you prepare for the MTEL Middle School Mathematics/Science exam.

MTEL Middle School Math/Science: Probability & Statistics Calculations - Chapter Summary

The video lessons in this chapter will review with you how to describe data sets and the processes for performing statistical and probability equations using a variety of these data sets. Explore the lessons as you get set for the exam. After completing each lesson, you will have reviewed:

  • Calculating mean, median, mode, & range
  • How to determine if a question is statistical
  • The center of a data set
  • Mathematical data sets and 'spread' in data
  • Maximum, minimum and outliers in a data set
  • Quartiles & interquartile range
  • How to find percentiles in a data set
  • Calculating standard deviation and central tendency
  • How a data set is represented visually
  • Using pie chart and bar graphs
  • Creating box plots and histograms

The video lessons in this chapter have been prepared to best assist you in preparing for the MTEL Middle School Mathematics/Science exam. There is a transcript of each video included in the lesson for text-based learning. Use the self-assessment quizzes at the end of each lesson to see how well you can apply the information reviewed.

MTEL Middle School Math/Science: Probability & Statistics Calculations Objectives

The MTEL Middle School Mathematics/Science exam is taken by aspiring teachers in the state of Massachusetts who are hoping to obtain professional certification to teach middle school math and science. The exam is scored based on 10 subareas, 5 of which are related to math and 5 that are related to science. The lessons in this chapter will help you prepare for the subarea that assess skills in data analysis, statistics and probability. The questions in this subarea account for 6% of the total score.

The MTEL Middle School Mathematics/Science exam is comprised of 100 multiple-choice questions and 2 open-ended responses. The open-ended responses could be related to any of the 10 subareas so it's best to prepare for all of them, especially because these 2 questions account for 20% of the final score. Those taking the exam need a score of 240 or higher to qualify for certification.

15 Lessons in Chapter 38: MTEL Middle School Math/Science: Probability & Statistics Calculations
Test your knowledge with a 30-question chapter practice test
Calculating the Mean, Median, Mode & Range: Practice Problems

1. 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.

Statistical vs Non-Statistical Questions

2. Statistical vs Non-Statistical Questions

Watch this video lesson and you will learn how to spot statistical and non-statistical questions. You will learn that statistical questions have variance in their answers while non-statistical questions don't.

Data Set in Math: Definition & Examples

3. Data Set in Math: Definition & Examples

In this lesson, learn about data sets and how to use the operations of mean, median, and mode to manipulate the data. Then, test your knowledge with a brief quiz.

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

4. 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!

Spread in Data Sets: Definition & Example

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.

Maximums, Minimums & Outliers in a Data Set

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.

Quartiles & the Interquartile Range: Definition, Formulate & Examples

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.

Finding Percentiles in a Data Set: Formula & Examples

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.

Calculating the Standard Deviation

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.

Mean, Median & Mode: Measures of Central Tendency

10. 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.

How to Calculate Mean, Median, Mode & Range

11. 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.

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

12. 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.

Understanding Bar Graphs and Pie Charts

13. Understanding Bar Graphs and Pie Charts

In this lesson, we will examine two of the most widely used types of graphs: bar graphs and pie charts. These two graphs can provide the reader with a comparison of the different data that is displayed.

Creating & Interpreting Histograms: Process & Examples

14. Creating & Interpreting Histograms: Process & Examples

Creating histograms can help you easily identify and interpret data. This lesson will give you several examples to better understand histograms and how to create them.

Creating & Interpreting Box Plots: Process & Examples

15. Creating & Interpreting Box Plots: Process & Examples

Box plots are an essential tool in statistical analysis. This lesson will help you create a box plot and understand its meaning. When you are finished, test your understanding with a short quiz!

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

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