## Reflection: Real World Applications Playing with Measures of Central Tendency - Section 4: Closure and Ticket to Go

In addition to the closure, I wanted to see if students could apply what they had learned about the mean to a new situation.  I told students that a student in math class had an average of a 70% as his grade.  I asked for a volunteer to explain what it meant to have an average of 70%.  I wanted to make sure that students understood the process of calculating the mean.

Then I presented three situations: a) on the next test this student gets a 90%, or b) on the next test this student gets a 75%, or c) on the next test the student receives a 65%.  For each situation I asked students to predict whether the new test grade would cause the mean to increase, decrease, or stay the same.  I had students use their thumbs to express their opinion.  Students were engaging in MP2: Reason abstractly and quantitatively and MP8: Look for and express regularity in repeated reasoning.  After students expressed their opinions I called on a few students to explain their reasoning.  I wanted students to connect with their work during the lesson to realize how the mean would change when there is a new value added to the data set.

How will it affect the mean?
Real World Applications: How will it affect the mean?

# Playing with Measures of Central Tendency

Unit 9: Statistics
Lesson 11 of 22

## Big Idea: What will happen to the mode, median, and mean of data set when you add a new value? Students work to make predictions and understand how new data will affect measures of central tendency.

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Standards:
Subject(s):
Math, Statistics, measures of central tendency, mode, median, mean, 6th grade, master teacher project
50 minutes

### Andrea Palmer

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