 Examples, solutions, videos, and lessons to help Grade 6 students learn how to summarize numerical data sets in relation to their context.

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Lessons here include:
A. Reporting the number of observations.
B. Describing the nature of the attribute under investigation, including how it was measured and its units of measurement.
C. 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.
D. 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.

Common Core: 6.SP.5

### Suggested Learning Targets

• I can report the number of observations in a data set or display.
• I can organize and display data in tables and graphs.
• I can describe the data being collected, including how it was measured and its units of measurement.
• I can calculate quantitative measures of center, e.g., mean, median, mode.
• I can calculate measures of variance, e.g., range interquartile range, mean absolute
deviation.
• I can choose the appropriate measure of central tendency to represent the data.
• I can identify outliers.
• I can determine the effect of outliers on quantitative measures of a set of data, e.g., mean, median, mode, range, interquartile range, mean absolute deviation.
• I can analyze the shape of the data distribution and the context in which the data were gathered to choose the appropriate measures of central tendency and variability and justify why this measure is appropriate in terms of the context.
6.SP.5.a - Report the Number of Observations in a Data Set
This video explains how to report the number of observations, or the n, in a data set. This is very important, as it is the foundation for being able to find statistical measures such as mean and mean absolute deviation. This address Common Core Standards for Mathematics indicator 6.SP.5.a.

6.SP.5.b - Describe Attributes of Data
This video explains how to describe what attribute the data is measuring, how the data was measured and what the unit the f measurement is. This video addresses the Common Core Standards for Mathematics Grade 6 indicator of 6.SP.5.b.
What is being measured?
How was it measured?
What is the unit of measurement? 6.SP.5.c - Measures of Central Tendency - Mean, Median (and Mode)
This video explains how to find the measures of central tendency, which are mean, median and mode. 6.SP.5.c - Interquartile Range or IQR (Measure of Variation)
This video shows how to find the interquartile range, It explains not only the procedure but the concept behind what it tells us about the data. It addresses Common Core Standard for Mathematics 6.SP.5.c in the statistics domain. 6.SP.5.c - Mean Absolute Deviation (Measure of Variation)
This video on how to find the mean absolute deviation. It explains not only the procedure but the concept behind what it tells us about the data. It addresses Common Core Standard for Mathematics 6.SP.5.c in the statistics domain.

6 sp 5c (Part 1)
Mean Absolute Deviation
Inter Quartile Range (IQR). 6 sp 5c (Part 2)
Box Plots and Outliers. 6.sp.5c (Part 3)
The Common Core State Standards (CCSS) videos are designed to support states, schools, and teachers in the implementation of the CCSS. Each video is an audiovisual resource that focuses on one or more specific standards and usually includes examples/illustrations geared to enhancing understanding. The intent of each content-focused video is to clarify the meaning of the individual standard rather than to be a guide on how to teach each standard although the examples can be adapted for instructional use. Shapes of a data set - 6.SP.5.d
This video describes the 4 shapes a distribution of a data set may take and how the mean and median are related for every shape.

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