A1.D.1.1 Describe a data set using data displays, describe and compare data sets using summary statistics, including measures of central tendency, location and spread. Know how to use calculators, spreadsheets, or other appropriate technology to display data and calculate summary statistics.
In a Nutshell
Students will be able to communicate fluently about data sets using various displays and measures of central tendency, showing a deep understanding of the various summary statistics.
Student Actions

Teacher Actions


Students will analyze data in different displays including tables, scatter plots, stem and leaf plots and box and whisker plots and develop a deep and flexible conceptual understanding of the meanings of measures of central tendency in context.

Students will calculate mean, median, mode, range and all quartiles of the data with accurate and appropriate procedural fluency.

Students Develop a productive mathematical disposition as they make sense of data sets and their meanings in context.
 Students use various representations to share data sets with others and communicate mathematically the meanings of the measures of central tendency for those data sets to show understanding.


Implement tasks that promote reasoning and problem solving that include data sets and graphs which represent realworld problems.

Pose purposeful questions, asking students to not only find measures of central tendency but also to interpret their findings accurately.

Elicit and use evidence of student thinking as students justify their processes and explain their interpretations of solutions of data analysis in context to real world situations.

Key Understandings

Misconceptions

Example:
Students in biology earned the following scores on their exam. 87, 95, 100, 76, 65, 97, 62, 88

Find the mean, median, mode and range for the data.

Display the data in:

Scatterplot

Stem and leaf plot

Box and whisker plot
c. The teacher has promised the students a reward if the class average is an 85%. One student has not tested yet; what score must he earn to raise the class average to 85%?
Solution:

83.75, 87.5, none, 38 respectively
(desmos.comhttps://www.desmos.com/calculator/fzudneekir)
Sample size: 8
Median: 87.5
Minimum: 62
Maximum: 100
First quartile: 67.75
Third quartile: 96.5
Interquartile Range: 28.75
Outliers: none
(http://www.alcula.com/calculators/statistics/boxplot/)
c. 670 + x 9=85
670+x=765
x=95
The student must earn a 95% to raise the class
average to 85%.


OKMath Framework Introduction
Algebra 1 Introduction
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