Shape of Data Distributions

My Notes Level 1 Support Level 2 Standard Level 3 Enrichment

Today's objectives

Content Objective: I can describe the shape of a data distribution as symmetric, skewed, or having clusters and gaps.

Language Objective: I can explain my description using the words symmetric, skewed, cluster, and gap.

📖 See Learn It for the explanation and worked examples, and the Vocab tab for the words. These are your notes to fill in and keep.

✏️ Fill in each blank as we go. Use the Word Bank to help you.

📚 Word Bank — fill each blank with the best word

👆 Tap any word to see what it means and a picture.

Level 3: try the blanks from memory first, then check the bank.

1A distribution where both sides look like mirror images is .
2A distribution with a tail stretching out to one side is .
3A group of data values bunched close together is a .
4An interval where there are no data values is a .
5The way data values are spread out across a range is the .
6How much the values in a data set differ from one another is the .

Write About the Math Guided ESOL writing

Use the support level you need. Every level answers the same math question.

1. Understand the Question

explain

As you match each data description to its shape, how can you tell a symmetric distribution from a skewed one just by looking?

Your job: Answer the question. Use math evidence. Explain how the evidence proves your answer.Responde la pregunta. Usa evidencia matemática. Explica cómo la evidencia demuestra tu respuesta.

2. Plan Your Math Words

Check at least two words you will use.

Symmetric — Data that looks about the same on the left and right.Simétrico — Datos que se ven casi iguales a la izquierda y a la derecha. Skewed — Data bunched on one side with a tail on the other.Sesgado — Datos amontonados de un lado con una cola del otro. Cluster — A group of numbers that are close together.Agrupamiento — Un grupo de números que están cerca unos de otros. Gap — A big empty space where there is no data.Hueco (espacio) — Un espacio grande y vacío donde no hay datos. Data distribution — How the data looks: where it sits and how spread out it is.Distribución de datos — Cómo se ven los datos: dónde están y qué tan separados están.

Say it first: Say your idea to a partner or quietly to yourself before you write.Di tu idea a un compañero o en voz baja antes de escribir.

A symmetric distribution has data that is ___ on both sides.Una distribución simétrica tiene datos ___ en ambos lados.

3. Build Your Explanation

Model the parts: This model shows the parts of an explanation. It does not answer your writing question.

Claim: Different real-world data sets form different distribution shapes: symmetric, skewed, or clustered.

Evidence: Students explain different data produces different shapes and can describe symmetric (balanced) versus skewed (lopsided) distributions.

Reasoning: This evidence connects the definition of data distribution to the mathematical claim.

Start

Most language support

Complete the frames. Use the word bank.Completa las oraciones. Usa el banco de palabras.

A symmetric distribution has data that is ___ on both sides.Una distribución simétrica tiene datos ___ en ambos lados.
A skewed distribution has a longer ___ on one side.Una distribución sesgada tiene una ___ más larga en un lado.

Build

Some language support

Write two connected sentences. Use because, so, or but.Escribe dos oraciones conectadas. Usa porque, entonces o pero.

My claim is ___.Mi afirmación es ___.
I know because ___.Lo sé porque ___.
So ___.Entonces ___.

Explain

Light language support

Write a claim, give math evidence, and explain your reasoning.Escribe una afirmación, da evidencia matemática y explica tu razonamiento.

My claim is ___.Mi afirmación es ___.
My math evidence is ___.Mi evidencia matemática es ___.
This proves ___ because ___.Esto demuestra ___ porque ___.

4. Check Your Explanation

I answered the question.Respondí la pregunta. I used math evidence: numbers, an equation, a model, or a comparison.Usé evidencia matemática: números, una ecuación, un modelo o una comparación. I explained how the evidence proves my answer.Expliqué cómo la evidencia demuestra mi respuesta. I used at least two math words.Usé por lo menos dos palabras matemáticas. I reread complete sentences and punctuation.Volví a leer mis oraciones completas y la puntuación.