Display Data: Histograms

6.DS.5 · Unit 8 · Lesson 6

Name   Period

Objectives / Objetivos

Content Objective: I can make and read a histogram to display data in intervals.

Language Objective: I can explain my histogram using the words histogram, frequency, interval, and distribution.

Key Idea / Idea clave

Each bar's height shows how many data values land inside that interval.

I Notice / Observo

  • Where do most of the scoring averages seem to cluster?
  • Are there many players at the very low or very high end?

I Wonder / Me pregunto

  • What size intervals would work best for this data?

Vocabulary / Vocabulario

Term / TérminoDefinition / Definición
Histogram
Histograma		A bar graph that groups data into equal ranges. The bars touch.
Una gráfica de barras que agrupa datos en rangos iguales. Las barras se tocan.
Frequency
Frecuencia		How many times a value shows up.
Cuántas veces aparece un valor.
Interval
Intervalo		A range of numbers used to group data.
Un rango de números para agrupar datos.
Distribution
Distribución		How the data is spread out.
Cómo están repartidos los datos.
Variability
Variabilidad		How spread out the numbers are.
Qué tan separados están los números.

Practice Preview / Vista previa de práctica

  1. A histogram shows these frequencies: 0–4: 3 players, 5–9: 8 players, 10–14: 12 players, 15–19: 5 players. How many players are represented in total?
    1. 28
    2. 12
    3. 20
    4. 15
  2. Problem 2
  3. A histogram of test scores shows: 50–59: 2, 60–69: 5, 70–79: 10, 80–89: 8, 90–99: 3. Which interval has the most students?
    1. 70–79 with 10 students
    2. 80–89 with 8 students
    3. 60–69 with 5 students
    4. 90–99 with 3 students
  4. Find the Histogram Error
    1. Step 1: Data — Test scores: 55, 62, 68, 70, 72, 75, 78, 80, 82, 85, 88, 90, 95
    2. Step 2: Intervals — 50–59, 60–69, 70–79, 80–89, 90–100
    3. Step 3: Frequency table — 50–59: 1, 60–69: 2, 70–79: 3, 80–89: 4, 90–100: 2
    4. Step 4: Conclusion — The histogram is symmetric because the bars go 1, 2, 3, 4, 2.

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

Reflection / Reflexión

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