Grade 11 Math: Histograms

This worksheet focuses on understanding, interpreting, and constructing histograms, including frequency and relative frequency histograms, for Grade 11 math students.

Grade 11 Math Data and GraphingGraphing DataHistograms

Use This Worksheet

Includes

Multiple ChoiceTrue / FalseFill in the BlanksShort AnswerCustomLong Answer

Standards

CCSS.MATH.CONTENT.HSS.ID.A.1CCSS.MATH.CONTENT.HSS.ID.A.2

Topics

MathGrade 11HistogramsData AnalysisGraphing

8 sections · Free to use · Printable

← More Math worksheets for Grade 11

Grade 11 Math: Histograms

Name:

Date:

Score:

Read each question carefully and answer to the best of your ability. Show all work where applicable.

1. What is the primary difference between a bar chart and a histogram?

Histograms show categorical data, bar charts show numerical data.

Bars in a histogram touch, indicating continuous data; bars in a bar chart are separated.

Bar charts always have a title, histograms do not.

Histograms can only be vertical, bar charts can be horizontal.

2. Which of the following is NOT a characteristic of a histogram?

The horizontal axis is labeled with class intervals.

The vertical axis represents frequency or relative frequency.

There are gaps between the bars.

The area of each bar is proportional to the frequency of the class.

1. A relative frequency histogram shows the proportion of observations within each class interval.

True

False

2. It is always appropriate to use a histogram to display discrete data.

True

False

1. The of a class interval in a histogram represents the number of data points falling within that interval.

2. When constructing a histogram, the first step after collecting data is to determine the and of the class intervals.

1. Explain how changing the width of the class intervals can affect the appearance and interpretation of a histogram.

Use the histogram below to answer the following questions.

a. How many students scored between 70 and 79?

b. What is the total number of students whose scores are represented in this histogram?

c. What percentage of students scored 80 or above?

The following data represents the waiting times (in minutes) for customers at a bank during peak hours: 3.5, 7.2, 5.1, 8.0, 6.3, 4.9, 7.8, 6.5, 5.9, 4.2, 8.1, 7.0, 6.0, 5.5, 4.8, 7.1, 6.6, 5.3, 4.5, 6.8.

Construct a frequency histogram for this data using class intervals of width 1 minute, starting at 3.0 minutes. Label your axes clearly.