Mathematics
Grade 6
15 min
Create histograms (Tutorial only)
Create histograms (Tutorial only)
Tutorial Preview
1
Introduction & Learning Objectives
Learning Objectives
Define what a histogram is and explain its purpose.
Distinguish between a bar graph and a histogram.
Organize a given dataset into a frequency table with appropriate, equal-width intervals.
Determine suitable scales for the horizontal (x) and vertical (y) axes of a histogram.
Draw and label the axes of a histogram correctly, including a title.
Construct bars of correct height and width for each interval in a histogram.
Interpret basic information and trends presented in a completed histogram.
Ever wonder how to make sense of a long list of numbers, like everyone's test scores or daily temperatures? 📊 It can be tricky to see patterns!
In this lesson, you'll learn how to create a special type of graph called a histogram. Histograms help us vis...
2
Key Concepts & Vocabulary
TermDefinitionExample
DataInformation, facts, or numbers collected for analysis.A list of student heights: 140 cm, 145 cm, 138 cm, 150 cm.
FrequencyThe number of times a particular value or item appears in a dataset.If 5 students scored between 80-89 on a test, the frequency for that interval is 5.
Interval (or Bin)A range of values into which data is grouped. All intervals in a histogram must be of equal width.For test scores from 0-100, intervals could be 0-10, 11-20, 21-30, and so on.
Frequency TableA table that lists intervals (or categories) and the frequency (count) of data points that fall into each interval.A table showing 'Score Range' (e.g., 60-69) and 'Number of Students' (e.g., 7).
HistogramA type of bar graph that shows the frequency distribution of contin...
3
Core Formulas
Rule for Interval Construction
All intervals (bins) in a histogram must be of equal width and cover the entire range of the data without overlap.
This rule ensures that each interval represents an equal 'chunk' of the data range, preventing misrepresentation of frequency and making the graph fair and easy to compare.
Rule for Bar Adjacency
In a histogram, the bars representing consecutive intervals must touch each other, with no gaps between them.
This visual characteristic is crucial for distinguishing a histogram from a bar graph. It signifies that the data is continuous, meaning there are no 'gaps' in the possible values.
Rule for Axis Labeling and Scaling
The horizontal (x-axis) must be labeled with the data intervals, and the vertical (y-axis)...
4 more steps in this tutorial
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Challenging
A dataset of 30 students' heights ranges from 138 cm to 165 cm. Which of the following interval sets is the BEST choice for creating a clear and useful histogram?
A.130-149, 150-169
B.135-139, 140-144, 145-149, 150-154, 155-159, 160-165
C.138-165
D.138-138.9, 139-139.9, 140-140.9, ...
Challenging
A histogram is made from 25 data points. The frequency for interval 0-9 is 6. The frequency for 10-19 is 11. The frequency for 30-39 is 3. What is the frequency for the missing interval, 20-29?
A.5
B.4
C.6
D.20
Challenging
A student labels the x-axis intervals on a histogram as 10-20, 20-30, 30-40. Why is this labeling problematic for continuous data like measurements?
A.The intervals are too wide.
B.The intervals must start at 0.
C.It's unclear which interval a value like 20 or 30 belongs to.
D.The numbers are too large for a Grade 6 student.
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