Learn on PengiSaxon Math, Course 3Chapter 6: Number & Operations • Data Analysis & Probability

Investigation 6: Collect, Display, and Interpret Data

In this Grade 8 Saxon Math Course 3 Investigation, students explore the fundamentals of statistics by learning to collect, display, and interpret both qualitative and quantitative data using surveys, bar graphs, histograms, and circle graphs. Key concepts include population versus sample, sampling methods and bias, closed-option surveys, frequency tables, and how to calculate central angles for circle graph sectors. Students also practice hands-on data collection with classmates and analyze how choices like interval size affect the visual representation of data.

Section 1

📘 Collect, Display, and Interpret Data

New Concept

Statistics is the science of collecting data and interpreting the data in order to draw conclusions and make predictions.

What’s next

Now, we'll get hands-on by conducting surveys and displaying data. You will build bar graphs, histograms, and circle graphs to visualize your findings.

Section 2

Statistics

Property

Statistics is the science of collecting data and interpreting the data in order to draw conclusions and make predictions.

Examples

  • Surveying classmates to find their favorite new movie.
  • Tracking daily temperatures to predict tomorrow's weather.

Explanation

Think of yourself as a data detective! Statistics is your toolkit for gathering clues (data) from a small group to solve a bigger mystery, like figuring out the most popular video game in your entire school based on a class poll.

Section 3

Population and Sample

Property

The population is the entire group you want to study. A sample is a smaller, representative piece of that population.

Examples

  • Population: All students in a district. Sample: 50 students from each school.
  • Population: All cars made by a factory. Sample: Testing every 200th car on the line.

Explanation

You can't ask every fish in the ocean what they eat (the population), so you study a few fish from different spots (the sample) to get a good idea! It's a smart shortcut.

Section 4

Qualitative and Quantitative Data

Property

Qualitative data falls into categories (e.g., types of restaurants), while quantitative data is numerical (e.g., time spent on homework).

Examples

  • Qualitative: Favorite ice cream flavors (Chocolate, Vanilla).
  • Quantitative: The number of scoops (1, 2, or 3).

Explanation

It’s simple: qualitative data describes the 'quality' or 'kind' of something, like your favorite color. Quantitative data measures the 'quantity' or 'how much,' like the number of pets you have. One is descriptive, the other is countable!

Book overview

Jump across lessons in the current chapter without opening the full course modal.

Continue this chapter

Chapter 6: Number & Operations • Data Analysis & Probability

  1. Lesson 1

    Lesson 51: Negative Exponents and Scientific Notation for Small Numbers

  2. Lesson 2

    Lesson 52: Using Unit Multipliers to Convert Measures and Converting Mixed-Unit to Single-Unit Measures

  3. Lesson 3

    Lesson 53: Solving Problems Using Measures of Central Tendency

  4. Lesson 4

    Lesson 54: Angle Relationships

  5. Lesson 5

    Lesson 55: Nets of Prisms, Cylinders, Pyramids, and Cones

  6. Lesson 6

    Lesson 56: The Slope-Intercept Equation of a Line

  7. Lesson 7

    Lesson 57: Operations with Small Numbers in Scientific Notation

  8. Lesson 8

    Lesson 58: Solving Percent Problems with Equations

  9. Lesson 9

    Lesson 59: Experimental Probability

  10. Lesson 10

    Lesson 60: Area of a Parallelogram

  11. Lesson 11Current

    Investigation 6: Collect, Display, and Interpret Data

Lesson overview

Expand to review the lesson summary and core properties.

Expand

Section 1

📘 Collect, Display, and Interpret Data

New Concept

Statistics is the science of collecting data and interpreting the data in order to draw conclusions and make predictions.

What’s next

Now, we'll get hands-on by conducting surveys and displaying data. You will build bar graphs, histograms, and circle graphs to visualize your findings.

Section 2

Statistics

Property

Statistics is the science of collecting data and interpreting the data in order to draw conclusions and make predictions.

Examples

  • Surveying classmates to find their favorite new movie.
  • Tracking daily temperatures to predict tomorrow's weather.

Explanation

Think of yourself as a data detective! Statistics is your toolkit for gathering clues (data) from a small group to solve a bigger mystery, like figuring out the most popular video game in your entire school based on a class poll.

Section 3

Population and Sample

Property

The population is the entire group you want to study. A sample is a smaller, representative piece of that population.

Examples

  • Population: All students in a district. Sample: 50 students from each school.
  • Population: All cars made by a factory. Sample: Testing every 200th car on the line.

Explanation

You can't ask every fish in the ocean what they eat (the population), so you study a few fish from different spots (the sample) to get a good idea! It's a smart shortcut.

Section 4

Qualitative and Quantitative Data

Property

Qualitative data falls into categories (e.g., types of restaurants), while quantitative data is numerical (e.g., time spent on homework).

Examples

  • Qualitative: Favorite ice cream flavors (Chocolate, Vanilla).
  • Quantitative: The number of scoops (1, 2, or 3).

Explanation

It’s simple: qualitative data describes the 'quality' or 'kind' of something, like your favorite color. Quantitative data measures the 'quantity' or 'how much,' like the number of pets you have. One is descriptive, the other is countable!

Book overview

Jump across lessons in the current chapter without opening the full course modal.

Continue this chapter

Chapter 6: Number & Operations • Data Analysis & Probability

  1. Lesson 1

    Lesson 51: Negative Exponents and Scientific Notation for Small Numbers

  2. Lesson 2

    Lesson 52: Using Unit Multipliers to Convert Measures and Converting Mixed-Unit to Single-Unit Measures

  3. Lesson 3

    Lesson 53: Solving Problems Using Measures of Central Tendency

  4. Lesson 4

    Lesson 54: Angle Relationships

  5. Lesson 5

    Lesson 55: Nets of Prisms, Cylinders, Pyramids, and Cones

  6. Lesson 6

    Lesson 56: The Slope-Intercept Equation of a Line

  7. Lesson 7

    Lesson 57: Operations with Small Numbers in Scientific Notation

  8. Lesson 8

    Lesson 58: Solving Percent Problems with Equations

  9. Lesson 9

    Lesson 59: Experimental Probability

  10. Lesson 10

    Lesson 60: Area of a Parallelogram

  11. Lesson 11Current

    Investigation 6: Collect, Display, and Interpret Data