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Mean Absolute Deviations Guided Notes w/ Doodles | Measure of Variability (MAD)
$4.25
Overview
- Standards: CCSS 6.SP.A.3, CCSS 6.SP.B.5.c
- Units: 7th Grade → Unit 8: Statistics, 6th Grade → Unit 7: Data & Statistics
- Grades: 7th Grade, 6th Grade
Get the Lesson Materials
Mean Absolute Deviations Guided Notes w/ Doodles | Measure of Variability (MAD)
$4.25
Learning Objectives
After this lesson, students will be able to:
- Define mean absolute deviation (MAD) as a measure of variability in a set of data
- Calculate the mean absolute deviation of a given data set
- Explain real-life applications of mean absolute deviation in various contexts
Prerequisites
Before this lesson, students should be familiar with:
- Knowledge of the mean and how to calculate it
- Basic math skills, including addition, subtraction, multiplication, and division of positive integers and decimals
Materials
- Pencils
- Colored pencils or markers
- Mean Absolute Deviations Guided Notes
Key Vocabulary
- Mean Absolute Deviation (MAD)
- Statistics
- Measure of Variability
Procedure
Introduction
As a hook, ask students why understanding variability in data is important in real life. You can provide examples like comparing the variability of temperatures in different cities, or comparing the variability in test scores of different classrooms. Refer to the last page of the guided notes as well as the FAQs below for ideas.
Use the first page of the guided notes to introduce mean absolute deviation (MAD) and its significance as a measure of variability. Explain that MAD measures how spread out the data values are from the mean. Walk through the key points of the topic of the guided notes to teach, including the 3 steps to calculate MAD.
Based on student responses, reteach concepts that students need extra help with. If your class has a wide range of proficiency levels, you can pull out students for reteaching, and have more advanced students begin work on the practice exercises.
Practice
Have students practice calculating mean absolute deviation using the second page of the guided notes. The practice problems include tables which break down the problem into 3 steps. Step 1 is to calculate the mean of the data set. Step 2 is to calculate the difference between the data value and the mean. Lastly, step 3 is to calculate the MAD by finding the mean of the numbers in Step 2.
Fast finishers can then move on to the maze activity (page 3) and color by number activity (page 4) for additional practice. You can assign the practice worksheet as homework for the remainder of the class.
Real-Life Application
Bring the class back together, and introduce the concept of real-life applications of mean absolute deviation. Discuss how mean absolute deviation is a measure of how spread out the data is from the mean. Explain that mean absolute deviation is used in various real-life situations to understand the variability or dispersion of a data set.
Use the last page of the guided notes for students to read about a detailed example of MAD in weather forecasting and analysis. For example, you can discuss how mean absolute deviation is used in analyzing weather data. Explain how meteorologists use mean absolute deviation to measure the variability in temperature or rainfall over a period of time. A higher mean absolute deviation indicates a greater variability in weather conditions, while a lower mean absolute deviation suggests more consistent weather patterns.
You can also mention other real-life applications of mean absolute deviation, such as in analyzing test scores.
Refer to the FAQs section of the lesson plan for more ideas on how to engage students in exploring and discussing real-life applications of mean absolute deviation. Encourage students to think of other examples on their own and share with the class.
Extensions
Additional Print Practice
A fun, no-prep way to practice mean absolute deviation is Doodle Math — they’re a fresh take on color by number or color by code. It includes multiple levels of practice, perfect for a review day or sub plan.
Here are some activities to try:
- Mean Absolute Deviation | Doodle Math Color by Number | Measures of Variability
- Mean Absolute Deviation Activity BUNDLE | Print & Digital
Additional Self-Checking Digital Practice
If you’re looking for digital practice for simple interest, try my Pixel Art activities in Google Sheets. Every answer is automatically checked, and correct answers unlock parts of a mystery picture. It’s incredibly fun, and a powerful tool for differentiation.
Here are some activities to explore:
Codebreaker (Video & Print Activity):
A fun way to wrap this lesson with your students is with one of my math codebreaker video and print activities. Students watch a video that immerses them as detectives, having to solve math problems to find the secret code. If students successfully solve the math problems and find the code, you would play the mission success video to end the activity.
Here are some activities to explore:
FAQs
Mean absolute deviation (MAD) is a measure of how spread out the data points are in a data set. It measures the average distance between each data point and the mean of the data set.
To calculate the mean absolute deviation (MAD), follow these steps:
- Find the mean of the data set.
- Calculate the absolute value of the difference between each data point and the mean.
- Find the mean of the absolute values calculated in the previous step.
Mean absolute deviation is important in statistics because it gives us a measure of how much variation or spread there is in a data set. It helps us understand the average distance of each data point from the mean and provides insights into the overall variability of the data.
Mean absolute deviation can be used in real-life situations to analyze and compare data sets. It can help in various fields such as finance, economics, and scientific research to understand the variability and make informed decisions based on the data.
Examples of mean absolute deviation application include:
- Analyzing stock market fluctuations to measure the volatility of a stock.
- Examining temperature fluctuations to determine the average daily temperature deviation from the mean.
- Evaluating test scores of students to understand the distribution of scores and identify outliers.
Mean absolute deviation and standard deviation are both measures of variability, but they have a slight difference. The mean absolute deviation calculates the average absolute difference of each data point from the mean, while the standard deviation calculates the average squared difference of each data point from the mean.
No, mean absolute deviation cannot be negative. Since absolute values are always positive, the mean absolute deviation will always be a positive value.
The mean absolute deviation can be interpreted as the average distance between each data point and the mean. A smaller mean absolute deviation indicates that the data points are closely clustered around the mean, while a larger mean absolute deviation indicates that the data points are more spread out from the mean.