NY Next Generation Math NY-6.SP.5.d
The Standard
Relate the range and the choice of measures of center to the shape of the data distribution and the context in which the data were gathered.
New York State Next Generation Mathematics Learning Standards
Teacher's field guide
What This Standard Means
What Students Need to Do
- Students relate range and the choice of mean, median, or mode to a distribution’s shape and context. They explain why one center may be more useful than another.
What Mastery Looks Like
- The student compares center measures and range for a displayed distribution. The student chooses a center based on skew, unusual values, or the question being asked.
Common Misconceptions
- Students may always choose mean because it uses every value. They may use range as a center or ignore how context affects which summary is useful.
How to Assess It
- Give a skewed set of wait times with one large value. Ask students to calculate range and choose mean, median, or mode to describe a typical wait.
Lesson moves
Ways to Teach It
Shift one data card far from a cluster and recalculate mean, median, mode, and range.
Ask students which center best describes a skewed distribution and why.
Play Best Measure Debate with data plots and different contextual questions.
Choose a typical home price from a skewed neighborhood data set and justify the measure.
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Related Standards
- NY-6.SP.3
Recognize that a measure of center for a quantitative data set summarizes all of its values with a single number while a measure of variation describes how its ...
- NY-7.SP.4
Use measures of center and measures of variability for quantitative data from random samples or populations to draw informal comparative inferences about the po...
- NY-6.SP.5.c
Calculate range and measures of center, as well as describe any overall pattern and any striking deviations from the overall pattern with reference to the conte...
- NY-6.SP.2
Understand that a set of quantitative data collected to answer a statistical question has a distribution which can be described by its center, spread, and overa...
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