 # Data Driven

## Data Driven

CRA Description :
Students will represent, compare, and analyze sales data from two businesses. In the process, students will calculate measures of central tendency and variability and interpret the results. Students will evaluate their data to make decisions and determine which company has the greatest income potential for a prospective employee.
Subjects:
Mathematics
Mathematical Models with Applications
Key Concepts and Terms:
Bar Graphs
Box-and-whisker Plot
Commission
Data Distribution
Five-number Summary (Minimum Value, 1st Quartile, Median, 3rd Quartile, Maximum Value)
Measures of Center (Mean, Median)
Range
Scale
Standard Deviation
Variability
Prior Knowledge:
Students should be able to draw and interpret data in graphical representations, specifically bar graphs and box-and-whisker plots. They should be able to calculate measures of center and variability from a discrete set of data, and compare and interpret these measures. Students should be familiar with the meaning and use of standard deviation and have working knowledge of the process for calculating it.

### Data Driven

An investigation of various types of graphs to analyze data is a strong component of this lesson, and connects directly to the Mathematical Process Standard G.1F, "The student is expected to analyze mathematical relationships to connect and communicate mathematical ideas.
I would add a component after the explanation of calculating standard deviation, and show students how the graphing calculator can complete that calculation.  Students should have some background knowledge from Grade 8 Mathematics, 8.11B when students are asked to determine the mean absolute deviation and use this quantity as a measure of the average distance data are from the mean using a data set of no more than 10 data points.  I would review this 8th grade content during this lesson.

Submitted by Beth.Loughry@re... (not verified) on

### Thanks for these tips about 