Grade 5 Math: Dot Plots
Use repeated dots to describe counts and frequencies. Choose supported, standard, or challenge practice with a worked example, printable visual, and explained answers.
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Reading frequency dot plots
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Use repeated dots to describe counts and frequencies.
Grade 5 review and application of earlier data skills. Use the stated units and scales. These activities do not claim to cover an entire Grade 5 standard.
Supported practice
Example: Three dots above 2 mean three students each read two books. They do not mean three books altogether.
1. How many students read exactly 1 book?
2. How many students read no books?
3. What number of books was most common?
4. How many students are represented?
Supported answers
1. 2 students.
2. 1 student.
3. 2 books, reported by 3 students.
4. 8 students: 1 + 2 + 3 + 1 + 1.
Standard practice
Example: Two students who each read one book account for 2 × 1 = 2 books.
1. How many students read at least 2 books?
2. How many books were read altogether?
3. How many more students read 2 books than 4 books?
4. Write the complete data list in order.
Standard answers
1. 5 students: 3 + 1 + 1.
2. 15 books: 0 × 1 + 1 × 2 + 2 × 3 + 3 × 1 + 4 × 1.
3. 2 more students: 3 − 1.
4. 0, 1, 1, 2, 2, 2, 3, 4.
Challenge practice
Example: The horizontal values count books; the stacked dots count students. Keep those two quantities separate.
1. The student who read 0 books now reads 2. Describe the changes to the plot.
2. After that change, what is the total number of books?
3. Does the tallest stack show the largest number of books any student read?
4. A ninth student reports 5 books. What must change on the horizontal axis?
Challenge answers
1. Remove the dot at 0 and add one at 2. There are still 8 students.
2. 17 books: the original 15 plus 2.
3. No. It shows the most frequent value, 2. The largest individual value is 4.
4. Extend the axis to include 5 at the same spacing, then add one dot above 5.
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