Unit 6: Statistics
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6th Grade Mathematics
Unit 6: Statistics
Excerpts from Georgia Department of Education Webinar January 22, 2013
February 2013 Warm-Up
Zeke likes to collect buttons and he keeps them in a jar. Zeke can empty the buttons out of the jar, so he can see all of his buttons at once.
Which of the following are statistical questions that someone could ask Zeke about his buttons?
i. What is the typical number of holes in these buttons?
ii. Are there any gold buttons in this jar?
iii. How large is the largest button in the jar?
iv. How many buttons are green?
v. If Zeke grabbed a handful of buttons, what are the chances that all of the buttons in his hand are round?
vi. What is the typical size of a button in the jar? vii. What materials (e.g., plastic, metal, wood, etc.) were used to make these buttons? viii. How many buttons are in the jar?
ix. How many buttons have four holes?
x. How are these buttons distributed according to color?
Answers: i, v, vi, vii, x
February 2013 What’s the main idea of Unit 6?
• Deepen previous understandings of measurement and interpreting data. • Develop understanding of displaying and summarizing numerical data. • Develop understanding of quantitative measures of center and variability.
February 2013 Concepts & Skills to Maintain from Previous Grades
Analyzing patterns and seeing relationships
Fluency with operations on multi-digit numbers and decimals
Websites to help with the above:
www.aaamath.com
http://www.arcademicskillbuilders.com/
http://multiplication.com/
February 2013 Enduring Understandings from this Unit
Recognize a statistical question as one that anticipates variability in the data related to the question and accounts for it in the answers
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.
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.
Understand that numerical data can be displayed in plots on a number line, including dot plots, histograms, and box plots.
Summarize numerical data sets in relation to their context, such as by:
Reporting the number of observations.
Describing the nature of the attribute under investigation, including how it was measured and its units of measurement.
Giving quantitative measures of center (median and/or mean) and variability (interquartile range and/or mean absolute deviation), as well as describing any overall pattern and any striking deviations from the overall pattern with reference to the context in which the data were gathered.
Relating the choice of measures of center and variability to the shape of the data distribution and the context in which the data were gathered
February 2013 Examples & Explanations
1. Below are the 25 birth weights, in ounces, of all the Labrador Retriever puppies born at Kingston Kennels in the last six months.
13, 14, 15, 15, 16, 16, 16, 16, 17, 17, 17, 17, 17, 17, 17, 18, 18, 18, 18, 18, 18, 18, 18, 19, 20
Use an appropriate graph to summarize these birth weights.
February 2013 2. Below are the 25 birth weights, in ounces, of all the Labrador Retriever puppies born at Kingston Kennels in the last six months.
13, 14, 15, 15, 16, 16, 16, 16, 17, 17, 17, 17, 17, 17, 17, 18, 18, 18, 18, 18, 18, 18, 18, 19, 20
Describe the distribution of birth weights for puppies born at Kingston Kennels in the last six months. Be sure to describe shape, center, and variability.
The distribution of birth weights is centered at approximately 17 (median = 17 ounces, mean = 16.92 ounces), and the interquartile range is 2 ounces and the MAD is 1.15 ounces. The distribution has a longer tail for lower values.
The student edition for Unit 6 can be found at https://www.georgiastandards.org/Common- Core/Pages/Math-6-8.aspx
On the left side, please look under mathematics, 6 – 8. Then, the right side has a pull-down menu to access the units.
Additional parent guides will be posted to the parent resource page on http://www.hallco.org/boe/index.php (right had menu) as they become available.
February 2013