NY Next Generation Math NY-6.SP.3
The Standard
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 values vary with a single number.
New York State Next Generation Mathematics Learning Standards
Teacher's field guide
What This Standard Means
What Students Need to Do
- Students recognize that mean, median, or mode summarizes a data set’s center with one number. They use range to summarize variation with one number.
What Mastery Looks Like
- The student calculates or identifies mean, median, mode, and range correctly. The student explains that center describes a typical location while range describes overall spread.
Common Misconceptions
- Students may confuse mean with median or include frequency labels as data values. They may calculate range by adding the endpoints instead of subtracting minimum from maximum.
How to Assess It
- Give the data 3, 5, 5, 7, 10. Ask students for mean, median, mode, and range, then explain what center and variation describe.
Lesson moves
Ways to Teach It
Balance linking-cube towers to model the mean, then order the towers to locate median and range.
Ask students why one number can summarize center but cannot describe all variation.
Play Measure Match by pairing data sets with mean, median, mode, and range cards.
Summarize a week of daily temperatures with a measure of center and the range.
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Printable NY-6.SP.3 Worksheet
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Related Standards
- 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.5.d
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.
- 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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