Describe the Data Using the Median

6.DS.4 · Unit 2 · Lesson 3

Name   Period

Objectives / Objetivos

Content Objective: I can find the median of a data set and use it to describe what is typical.

Language Objective: I can explain the median using the words order, middle, typical, and half.

Key Idea / Idea clave

Measures of Center: Median. Formula: Median = Middle value in an ordered set. 1. Order all data values from least to greatest. 2. Odd count: The median is the exact center number. 3. Even count: The median is the mean of the two middle numbers

I Notice / Observo

  • What are the highest and lowest scores?
  • Do any scores repeat?

I Wonder / Me pregunto

  • Will the mean and median be the same number?

Vocabulary / Vocabulario

Term / TérminoDefinition / Definición
Describe the Data Using the Median
Describir los datos con la mediana		Using the middle value of the ordered data to say what is typical for the whole set.
Usar el valor del medio de los datos ordenados para decir qué es típico en todo el conjunto.
Median
Mediana		The middle number when you put them in order.
El número del medio cuando los pones en orden.
Mode
Moda		The number that shows up most often.
El número que aparece más veces.
Outlier
Valor atípico		A number that is much bigger or smaller than the rest.
Un número mucho mayor o menor que los demás.
Data distribution
Distribución de datos		How the data looks: where it sits and how spread out it is.
Cómo se ven los datos: dónde están y qué tan separados están.
Variability
Variabilidad		How spread out the numbers are.
Qué tan separados están los números.

Practice Preview / Vista previa de práctica

  1. Find the mean of: 10, 14, 8, 12, 16
    1. 12
    2. 14
    3. 10
    4. 60
  2. Problem 2
  3. Match each measure to its definition.
  4. Find the Stats Error
    1. Step 1: Data set — 12, 15, 18, 15, 20
    2. Step 2: Find mean — Sum = 80, Count = 5, Mean = 80 ÷ 5 = 16
    3. Step 3: Find median — Ordered: 12, 15, 15, 18, 20 → Median = 15
    4. Step 4: Find mode — Mode = 18 (the biggest number)

    Which step has the mistake? Explain it and write the correct work.

Reflection / Reflexión

One thing I learned today / Una cosa que aprendí hoy: