Learn on PengiBig Ideas Math, Advanced 1Chapter 9: Statistical Measures

Lesson 1: Introduction to Statistics

In this Grade 6 lesson from Big Ideas Math Advanced 1, Chapter 9, students are introduced to statistics by learning to identify statistical questions — questions that anticipate variability in answers rather than a single fixed response. Students explore concepts like data distribution, clustering, peaks, gaps, and dot plots using real-world heart rate data collected from their classmates. The lesson aligns with Common Core standards 6.SP.1 and 6.SP.4, building foundational vocabulary and reasoning skills for statistical thinking.

Section 1

Recognizing Statistical Questions

Property

Statistics is the science of collecting, organizing, analyzing, and interpreting data.
A statistical question is one that anticipates variability in the data and can be answered by collecting data that varies from one individual to another.
Non-statistical questions have a single, definitive answer.

Examples

Section 2

Creating and Reading Dot Plots

Property

An easy graph to make for numerical data is called a dot plot.
To create a dot plot, first draw a number line and then place a dot above the number line at the location of each data value.
If a value is repeated, this is represented by placing another dot above the previous instance(s) of that value.
This type of graph allows us to identify clusters (data points together in a group), gaps (intervals without any reported values), and peaks (data where there are more responses than for nearby values).

Examples

Section 3

Describing Data Distribution Patterns

Property

To analyze data distributions, examine the overall shape and patterns in the data.
Look for where most data points cluster together, identify any gaps or spaces in the data, and note any outliers that stand apart from the main group.
Describe the distribution by commenting on its center (where data tends to cluster), spread (how far apart the data points are), and any unusual features like peaks or gaps.

Examples

Book overview

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Chapter 9: Statistical Measures

  1. Lesson 1Current

    Lesson 1: Introduction to Statistics

  2. Lesson 2

    Lesson 2: Mean

  3. Lesson 3

    Lesson 3: Measures of Center

  4. Lesson 4

    Lesson 4: Measures of Variation

  5. Lesson 5

    Lesson 5: Mean Absolute Deviation

Lesson overview

Expand to review the lesson summary and core properties.

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Section 1

Recognizing Statistical Questions

Property

Statistics is the science of collecting, organizing, analyzing, and interpreting data.
A statistical question is one that anticipates variability in the data and can be answered by collecting data that varies from one individual to another.
Non-statistical questions have a single, definitive answer.

Examples

Section 2

Creating and Reading Dot Plots

Property

An easy graph to make for numerical data is called a dot plot.
To create a dot plot, first draw a number line and then place a dot above the number line at the location of each data value.
If a value is repeated, this is represented by placing another dot above the previous instance(s) of that value.
This type of graph allows us to identify clusters (data points together in a group), gaps (intervals without any reported values), and peaks (data where there are more responses than for nearby values).

Examples

Section 3

Describing Data Distribution Patterns

Property

To analyze data distributions, examine the overall shape and patterns in the data.
Look for where most data points cluster together, identify any gaps or spaces in the data, and note any outliers that stand apart from the main group.
Describe the distribution by commenting on its center (where data tends to cluster), spread (how far apart the data points are), and any unusual features like peaks or gaps.

Examples

Book overview

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

Continue this chapter

Chapter 9: Statistical Measures

  1. Lesson 1Current

    Lesson 1: Introduction to Statistics

  2. Lesson 2

    Lesson 2: Mean

  3. Lesson 3

    Lesson 3: Measures of Center

  4. Lesson 4

    Lesson 4: Measures of Variation

  5. Lesson 5

    Lesson 5: Mean Absolute Deviation