The average distance of data values from the mean; it describes spread.
Example: (3 + 0 + 3) ÷ 3 = 2
Describe Data by Mean Absolute Deviation
I can find the mean absolute deviation (MAD) to describe how spread out data is.
Speaking and writing goal: I can explain my work using the words mean absolute deviation, deviation, absolute value, and spread.
What Your Child Is Learning
In this lesson, students practice how to find the mean absolute deviation (mad) to describe how spread out data is. They learn to show their thinking with numbers, pictures, words, or a model. The goal is not just getting an answer. Students should be able to explain why the answer makes sense.
Why This Matters
Data helps people make decisions. Students use these skills to read sports stats, compare survey results, notice patterns, and decide what a graph is really saying.
What It May Look Like In Class
Your child may use the interactive lesson, guided notes, examples from the board, partner talk, and short practice problems. They may be asked to solve, draw a model, label important numbers, and explain their reasoning in a sentence.
How You Can Help At Home
You do not need to teach a new method. Ask your child to read the problem out loud, circle the important numbers, and explain what they tried first. Helpful questions include: What do you know? What are you trying to find? Does your answer make sense?
Apoyo para familias en español
Qué está aprendiendo su hijo/a
En esta lección, su hijo/a practica leer datos, hacer gráficas y explicar patrones. Puede usar dibujos, números, palabras o modelos para mostrar su pensamiento. Lo más importante es que pueda explicar por qué su respuesta tiene sentido.
Por qué es importante
Los datos ayudan a tomar decisiones. Su hijo/a aprende a leer gráficas, comparar resultados y explicar patrones.
Cómo puede ayudar en casa
No necesita ser experto/a en matemáticas. Pídale a su hijo/a que lea el problema en voz alta, marque los números importantes y explique su primer paso. Puede preguntar: ¿Qué sabes? ¿Qué necesitas encontrar? ¿Tu respuesta tiene sentido?
Key Vocabulary
How far a number is from the mean.
Example: 7 being 3 away from a mean of 10
How far a number is from zero. It is never negative.
Example: The absolute value of −4 is 4
How far apart the numbers are.
Example: Values running 5 to 25
How the data looks: where it sits and how spread out it is.
Example: “Most scores cluster near 85, with one down at 68”
How spread out the numbers are.
Example: Scores running from 68 to 94
Try It Together
Pick one or two problems. Let your child explain the first step before opening the answer.
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Find the mean of 4, 6, 8, and 10.
Show answer
7
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Find the median of 3, 5, 9, 12, and 20.
Show answer
9
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A dot plot has four dots above 6. What does that mean?
Show answer
The value 6 appears four times.
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Name one question data could help answer.
Show answer
Answers vary, such as which lunch is most popular.