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7-D-1-1

Page history last edited by Brenda Butz 6 years, 3 months ago

7.D.1.1 Design simple experiments, collect data and calculate measures of central tendency (mean, median, and mode) and spread (range). Use these quantities to draw conclusions about the data collected and make predictions.

In a Nutshell

Measures of central tendency include mean, median, and mode. The spread of data is represented by the range which is the difference between the highest and lowest data points in a set of data regardless of outliers. Experiments should be designed with the data collection process in mind. Sets of data should be displayed appropriately to allow for the calculation of mean, median, mode, and range and to allow for conclusions to be drawn in order to generalize or make predictions.

Student Actions	Teacher Actions
Develop the ability to communicate about sets of data as they discuss relevancy and translate tables to words as they compare multiple sets of data. Develop strategies for problem solving as they design appropriate experiments to collect data and question the reasonableness of each piece of data in a set. Develop the ability to model and make predictions/draw conclusions based on the data.	Eliciting and gathering evidence of student understanding at strategic points during instruction such as asking for explanations of students during the experiment design phase, noticing and encouraging students to discuss any abnormal data points, and having students defend their conclusions. Pose purposeful questions as students communicate the relationships they find in the data. Implement tasks that promote reasoning as students design their own experiments to collect data.
Key Understandings	Misconceptions
Collect and organize data in a variety of displays. Compare data sets. Predict patterns and trends in data. Find a missing value if mean is known. For example if there are 3 scores, one is 21 and one is 19, and the mean score is 20, what is the missing score? Understand that inserting or deleting data points may impact mean, median, and mode differently. Design simple experiments to collect data. Display data in a variety of ways like tables, graphs, and algebraically when appropriate. Make general statements about data collected including making comparisons between sets of data.	When finding the median of a set of even numbered data, they may struggle to see that the median may NOT be listed, and that it could be the mean of the middle two numbers. When students are asked to find the mean of a data set using a calculator, they may forget to enter the calculations using correct order of operations; i.e., entering 2 + 3 + 4 + 5+ 6 / 5 in one line. When graphing data, it is important that they use the same scales on the graphs so that it is easier to compare the graphs/data. If asked to find the median or range, students could forget to put the data in order from least to greatest first before trying to find the middle number.