Describe the Data Using the Median
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 / Término | Definition / 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
Read each task. Show your work in the spaces provided and explain how you know.
1. Find the mean of: 10, 14, 8, 12, 16
- A 10
- B 12
- C 14
- D 60
Answer:
2. Find the mean, median, and mode of each data set. Round each mean to the nearest hundredth when needed.
Complete each empty cell. Show your reasoning below.
| Data Set | Mean | Median | Mode |
|---|---|---|---|
| 5, 8, 8, 10, 14 | |||
| 20, 25, 25, 30, 25, 35 | |||
| 100, 110, 90, 100, 115, 95 |
3. Match each measure to its definition.
Write the letter of the matching item in the blank.
| 1. | Mean | A. | Sum ÷ Count | |
| 2. | Median | B. | Max − Min | |
| 3. | Mode | C. | Most frequent | |
| 4. | Range | D. | Middle value |
4. Find the Stats Error
Which step has the mistake, and what should it be?
Reflection / Reflexión
One thing I learned today / Una cosa que aprendí hoy: