Description:
In Unit 6, Students recognize statistical questions. They understand statistical variability and
apply that understanding as they summarize, describe, and display
distributions. Students will use
various methods to represent and analyze data. Students will also examine relationships
among multiple representations of the same data set.

Standards:
Additional
Cluster

Statistics
and Probability

Develop
understanding of statistical variability


6.SP.1

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.

6.SP.2

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.

6.SP.3

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.

Summarize and describe distributions

6.SP.4

Display numerical data in plots on a number line, including
dot plots, histograms, and box plots.

6.SP.5

Summarize numerical data sets in relation to their context,
such as by:
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), 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.


Enduring Understandings:
·
Data
can be collected, organized, sorted, represented, and analyzed in a variety
of ways.
·
The
results of a statistical investigation can be used to support or refute an
argument.
·
A
statistical question should anticipate variability or more than one answer.

Essential
Questions:
·
How
do you ask a question to collect statistical data?
·
What
is the best way to summarize data collected from a study?
·
How
can understanding and use of measures of central tendency be useful for
interpreting and drawing conclusions about data?
·
What
does variability mean?
·
What
is the difference between measures of center and measures of variation?
