Represent and Describe Data in a Box Plot
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 / Término | Definition / 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
Read each task. Show your work in the spaces provided and explain how you know.
1. A box plot shows: Min = 10, Q1 = 15, Median = 20, Q3 = 28, Max = 35. What is the interquartile range (IQR)?
- A 10
- B 13
- C 20
- D 25
Answer:
2.
Complete each empty cell. Show your reasoning below.
| Measure | Value |
|---|---|
| Data: 5, 8, 12, 15, 18, 20, 25, 30, 35 | |
| Minimum | |
| Q1 (median of lower half: 5, 8, 12, 15) | |
| Median | |
| Q3 (median of upper half: 20, 25, 30, 35) | |
| Maximum | |
| IQR (Q3 − Q1) |
3. Match each box plot term to its meaning.
Write the letter of the matching item in the blank.
| 1. | Minimum | A. | Middle value of the entire data set | |
| 2. | Q1 | B. | Q3 − Q1 (spread of middle 50%) | |
| 3. | Median | C. | Median of the lower half | |
| 4. | Q3 | D. | Median of the upper half | |
| 5. | IQR | E. | Smallest value in the data set | |
| 6. | Maximum | F. | Largest value in the data set |
4. Find the Box Plot Error
Which step has the mistake, and what should it be?
Reflection / Reflexión
One thing I learned today / Una cosa que aprendí hoy: