Represent and Describe Data in a Histogram

6.DS.5 · Unit 2 · Lesson 2

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

Histograms & Frequency Distributions. 1. Set equal intervals along the horizontal axis with no gaps. 2. Count the frequency (how many data values fall into each interval). 3. Draw adjacent bars with heights equal to frequency

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
Display Data with Histograms
Representar datos con histogramas
Group numerical data into intervals and show each interval's frequency with a bar.
Agrupar datos numéricos en intervalos y mostrar la frecuencia de cada intervalo con una barra.
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

Read each task. Show your work in the spaces provided and explain how you know.

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. A 12
  2. B 15
  3. C 20
  4. D 28

Answer:

2.

Complete each empty cell. Show your reasoning below.

Interval (Yards)Frequency
Player rushing yards per game: 0, 5, 12, 15, 18, 22, 25, 28, 31, 35, 40, 45
0–9
10–19
20–29
30–39
40–49

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. A 60–69 with 5 students
  2. B 70–79 with 10 students
  3. C 80–89 with 8 students
  4. D 90–99 with 3 students

Answer:

4. Find the Histogram Error

Which step has the mistake, and what should it be?

Reflection / Reflexión

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