About This Chapter
Standard: Recognize a statistical question as one that anticipates variability in the data related to the question and accounts for it in the answers. For example, 'How old am I?' is not a statistical question, but 'How old are the students in my school?' is a statistical question because one anticipates variability in students' ages. (CCSS.MATH.CONTENT.6.SP.A.1)
Standard:Understand that a set of data collected to answer a statistical question has a distribution which can be described by its center, spread, and overall shape. (CCSS.MATH.CONTENT.6.SP.A.2)
Standard: Recognize that a measure of center for a numerical data set summarizes all of its values with a single number, while a measure of variation describes how its values vary with a single number. (CCSS.MATH.CONTENT.6.SP.A.3)
About This Chapter
When students grasp statistical variability, they'll be able to recognize statistical questions and understand the distribution of data sets used to answer statistical questions. Use the resources in this chapter to help students learn the following concepts:
- Difference between statistical and non-statistical questions
- Finding the center in a data set
- Measures of central tendency in data sets
- Visual representations of data sets
- Unimodal and bimodal distributions
- Spread in data sets
- Quartiles and interquartile range
- Population and sample variance
Students who have achieved mastery of these standards will understand that a statistical question anticipates variability in the data needed to answer it. They ill know how to describe distributions by center, spread and shape and understand what information is contained in measures of center and measures of variation in data sets.
How to Use These Lessons in Your Classroom
Use the following tips to incorporate these resources materials into your teaching curriculum and meet Common Core Standards.
Brainstorm Statistical and Non-Statistical Questions
After watching the lesson 'Statistical vs Non-Statistical Questions,' work together as a class to brainstorm a list of both types of questions.
Create a Class Quiz
Watch the lessons on mean, median, mode and range. Use the practice problems in the lesson 'Calculating the Mean, Median, Mode & Range' as a jumping off point for students to create their own problems. Compile the questions, then assign as a class quiz.
Introduce Concepts With Lesson Videos
At the beginning of a new topic, show the class the lesson video as a brief introduction. Follow up with your own instruction and answer questions before beginning in-class assignments.
1. 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.
2. 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!
3. 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.
4. 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.
5. 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.
6. 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.
7. 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!
8. 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.
9. 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.
10. 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.
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Other chapters within the Common Core Math Grade 6 - Statistics & Probability: Standards course