Represent and Describe Data in a Box Plot

6.DS.5 · Unit 2 · Lesson 4

Name   Period

Objectives / Objetivos

Content Objective: I can make and read a box plot to summarize a data set.

Language Objective: I can explain my box plot using the words box plot, median, quartile, and interquartile range.

Key Idea / Idea clave

Box Plots & 5-Number Summary. Formula: IQR = Q3 − Q1. 1. 5-Number Summary: Minimum, Lower Quartile (Q1), Median (Q2), Upper Quartile (Q3), Maximum. 2. Draw the Box: The box spans from Q1 to Q3 and contains the middle 50% of data. 3. Whiskers: Draw lines from the box out to the minimum and maximum

I Notice / Observo

  • What are the lowest and highest scores?
  • What score is in the middle of the data?

I Wonder / Me pregunto

  • How can you show the spread of all this data in one picture?

Vocabulary / Vocabulario

Term / TérminoDefinition / Definición
Display Data with Box Plots
Representar datos con diagramas de caja		Show a data set's five-number summary in a box-and-whisker display.
Mostrar el resumen de cinco números de un conjunto de datos en un diagrama de caja y bigotes.
Box Plot
Diagrama de caja		A graph that shows how data is spread using five key numbers.
Una gráfica que muestra cómo se reparten los datos con cinco números clave.
Median
Mediana		The middle number when you put them in order.
El número del medio cuando los pones en orden.
Quartile
Cuartil		Numbers that split the data into four equal parts.
Números que dividen los datos en cuatro partes iguales.
Interquartile Range
Rango intercuartílico		The spread of the middle half of the data (Q3 − Q1).
La extensión de la mitad central de los datos (Q3 − Q1).
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.

Practice Preview / Vista previa de práctica

  1. A box plot shows: Min = 10, Q1 = 15, Median = 20, Q3 = 28, Max = 35. What is the interquartile range (IQR)?
    1. 13
    2. 25
    3. 10
    4. 20
  2. Problem 2
  3. Match each box plot term to its meaning.
  4. Find the Box Plot Error
    1. Step 1: Data — 3, 7, 9, 12, 15, 18, 21
    2. Step 2: Min and Max — Min = 3, Max = 21
    3. Step 3: Median — Middle value = 12 ✓
    4. Step 4: Q1 and Q3 — Q1 = 9, Q3 = 18

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

Reflection / Reflexión

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