Carroll Diagram

Definition of Carroll Diagram

A Carroll Diagram is a diagram used to sort objects and numbers, based on certain properties.

More About Carroll Diagram

    Carroll diagram is named after famous author Lewis Carroll (alias name of Charles Lutwidge Dodgson).

Example of Carroll Diagram

  • By using the attributes Prime and Not prime, the numbers 1, 2, 3, 4, 5, 6, 7, 8, 9 can be represented by Carroll diagram as:
    • example of Carroll Diagram1

Video Examples: MATH TUTORIAL VENN AND CARROLL DIAGRAMS


Solved Example on Carroll Diagram

Ques: Identify the Carroll diagram for the factors of 18 and 20 with the attributes as ‘even’ and ‘odd’.

    example of Carroll Diagram
    Choices:
    A. Figure 1
    B. Figure 2
    C. Figure 3
    D. Figure 4
    Correct Answer: C

Solution:

    Step 1: Write the factors for each number.
    18: 1, 2, 3, 6, 9, 18
    20: 1, 2, 4, 5, 10, 20
    Step 2: The factors of 18 with attribute ‘even’ is 2, 6, and 18.
    Step 3: The factors of 18 with attribute ‘odd’ is 1, 3, and 9.
    Step 4: The factors of 20 with attribute ‘even’ is 2, 4, 10, and 20.
    Step 5: The factors of 20 with attribute ‘odd’ is 1 and 5.
    Step 6: The ‘even’ and ‘odd’ attributes are correctly given in Figure 3.
    Step 7: So, Figure 3 is the Carroll diagram for the factors of 18 and 20.