# Ch 26: PSAT Math: Data Analysis, Statistics and Probability

### About This Chapter

## PSAT Math: Data Analysis, Statistics and Probability - Chapter Summary

Watch these video lessons to learn about data analysis, statistics and probability concepts in order to help prepare to take the math portion of the PSAT. Our lessons inform students in the following topics:

- Understanding bar graphs and pie charts
- Working with averages
- Calculating the probability of combinations and permutations
- Calculating the probability of independent, dependent, simple, compound and complementary events
- Finding the mean, median, mode and range
- Classifying geometric sequences

You can make sure of your success when taking the PSAT by reviewing the data analysis, statistics and probability concepts detailed above. Concepts are taught using brief, easy-to-follow video lessons. The provided quizzes were developed to give you instant feedback for you to gauge your learning progress.

### PSAT Math Objectives

The PSAT math test contains 40 multiple-choice questions and eight grid-ins, or student-produced response questions throughout two sections. You have 70 minutes to complete the math section. The three emphasized content areas found in the PSAT math test include:

- Data analysis and problem solving
- Passport to Advanced Math
- Heart of Algebra

The PSAT's main objective is to give you an idea of how prepared you are to take the SAT. You will also develop an idea of what you can expect the SAT math portion to look like. The test results show you what you're efficient in and which areas need the most attention. Due to partial sponsorship from the National Merit Scholarship Corporation (NMSC), you have the chance to be chosen to participate in an NMSC scholarship program. The NMSC also gives you the opportunity to use career and college planning tools.

### 1. 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.

### 2. 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.

### 3. What is a Two-Way Table?

Do you believe in Martians? Do you watch football on television? A Two-Way Table or Contingency Table is a great way to show the results of all kinds of survey questions. In this video we will learn how to read a two-way table.

### 4. How to Calculate Percent Increase with Relative & Cumulative Frequency Tables

In statistics, one way to describe and analyze data is by using frequency tables. This lesson will discuss relative and cumulative frequencies and how to calculate percent increase using these two methods.

### 5. Writing & Evaluating Real-Life Linear Models: Process & Examples

You make decisions about budgeting and other financial issues using linear models without even realizing it. Learn how to write and evaluate linear models.

### 6. Using Quadratic Functions to Model a Given Data Set or Situation

Watch this video lesson to learn how quadratic functions are used to model situations and data gathered from real world scenarios. See how our function fits our data and situation well.

### 7. Exponential Growth: Definition & Examples

Exponential growth is growth that increases at a consistent rate, and it is a common occurrence in everyday life. In this lesson, learn about exponential growth and some of its real-world applications.

### 8. Describing the Relationship between Two Quantitative Variables

In this video lesson, you will learn about quantitative variables, what they are, and how one variable relates to another. You will learn why this is important and why it can sometimes even save lives.

### 9. The Relationship Between Variables: Correlation Coefficient & Scatterplots

The focus of this lesson is on how both correlation coefficients and scatterplots convey the same message. Specifically, this lesson will explore how these two can reveal the same information but in different ways.

### 10. Creating & Interpreting Scatterplots: Process & Examples

Scatterplots are a great visual representation of two sets of data. In this lesson, you will learn how to interpret bivariate data to create scatterplots and understand the relationship between the two variables.

### 11. Reading and Interpreting Line Graphs

Watch this video lesson to find out how useful line graphs can be and how much information you can gain just from looking at one. Learn how you can apply that information in your own life to help you make better decisions.

### 12. Defining the Difference between Parameters & Statistics

Using data to describe information can be tricky. The first step is knowing the difference between populations and samples, and then parameters and statistics.

### 13. Estimating a Parameter from Sample Data: Process & Examples

One of the most useful things we can do with data is use it to describe a population. Learn how in this lesson as we discuss the concepts of parameters and samples.

### 14. Conditional Probability: Definition & Uses

We know a coin can land on either heads or tails. But what would happen if one coin flip changed the next? In this lesson, we'll look at events that are dependent on each other, and we'll learn how to calculate the probability of two events occurring in a combined manner.

### 15. How to Calculate Simple Conditional Probabilities

Conditional probability, just like it sounds, is a probability that happens on the condition of a previous event occurring. To calculate conditional probabilities, we must first consider the effects of the previous event on the current event.

### 16. Using Appropriate Tools for Scientific Tests & Data Collection

A properly run experiment depends on using the right tools, both for data collection and analysis. In the end, it will save you time, money and frustration to spend some time planning out which tools are most appropriate for your work.

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### Other Chapters

Other chapters within the PSAT Prep: Practice & Study Guide course

- PSAT: About the Test
- PSAT Writing: About the Writing & Language Test
- PSAT Writing: Sentence Clarity and Structure
- PSAT Writing Usage & Punctuation
- Word Use & Expressions in Writing
- Argument & Evidence Analysis in Writing
- About the PSAT Reading Test
- PSAT Reading: Reading Passages
- PSAT Reading: Understanding Reading Passages
- PSAT Reading: Interpretation & Analysis of Text
- Analyzing Data & Graphs in a Reading Passage
- PSAT Reading: Literary Terms
- Important U.S. Documents & Speeches
- Analyzing Words in Context while Reading
- PSAT Math: About the Math Test
- PSAT Math: Numbers and Operations
- PSAT Math: Equations and Expressions
- PSAT Math: Quadratic Equations
- PSAT Math: Exponents
- PSAT Math: Rational Equations and Expressions
- PSAT Math: Inequalities
- PSAT Math: Functions
- PSAT Math: Ratios, Rates & Proportion
- PSAT Math: Geometry and Measurement
- PSAT Math: Triangles & Trigonometric Ratios
- PSAT Prep Flashcards