Download S.1 - DPS ARE

Algebra 2
ELG HS.S.1: Summarize, represent, and interpret data on a single
count or measurement variable
Vertical Progression:
th
7 Grade
Algebra 1
Algebra 2
7.SP.B Draw informal comparative inferences about two populations
o 7.SP.B.3 Informally assess the degree of visual overlap of two numerical data distributions with
similar variabilities, measuring the difference between the centers by expressing it as a multiple of a
measure of variability.
o 7.SP.B.4 Use measures of center and measures of variability for numerical data from random samples
to draw informal comparative inferences about two populations.
ELG.MA.HS.S.1: Summarize, represent, and interpret data on a single count or measurement variable.
o S-ID.1 Represent data with plots on the real number line (dot plots, histograms, and box plots).
o S-ID.2 Use statistics appropriate to the shape of the data distribution to compare center (median,
mean) and spread (interquartile range, standard deviation) of two or more different data sets.
o S-ID.3 Interpret differences in shape, center, and spread in the context of the data sets, accounting
for possible effects of extreme data points (outliers).
ELG.MA.HS.S.1 Summarize, represent, and interpret data on a single count or measurement variable
o S-ID.4 Use the mean and standard deviation of a data set to fit it to a normal distribution and to
estimate population percentages. Recognize that there are data sets for which such a procedure is
not appropriate. Use calculators, spreadsheets, and tables to estimate areas under the normal curve.
Students will demonstrate command of the ELG by:
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Using the 68-95-99.7 rule to estimate the percent of a normal population that falls within 1, 2, or 3
standard deviations of the mean. Recognizing that normal distributions are only appropriate for unimodal and symmetric shapes.
Using spreadsheets, graphing calculators and statistical software, and tables to analyze the fit between a
data set and normal distributions and estimate areas under the curve.
Vocabulary:
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areas under the curve
mean
normal distribution
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standard deviation
symmetric
unimodal
Revised August 2015
Algebra 2
ELG HS.S.1: Summarize, represent, and interpret data on a single
count or measurement variable
Sample Instructional/Assessment Tasks:
1) Standard(s): S-ID.4
Source: https://www.illustrativemathematics.org/content-standards/tasks/216
Item Prompt:
Correct Answer:
Page 2 of 4
Revised August 2015
Algebra 2
ELG HS.S.1: Summarize, represent, and interpret data on a single
count or measurement variable
2) Standard(s): S-ID.4
Source: https://www.illustrativemathematics.org/content-standards/tasks/1020
Item Prompt:
Page 3 of 4
Revised August 2015
Algebra 2
ELG HS.S.1: Summarize, represent, and interpret data on a single
count or measurement variable
Correct Answer:
Page 4 of 4
Revised August 2015