Math · Stage 4
Sort data with Venn and Carroll diagrams; read frequency tables and find the mode
Venn circles for overlapping groups, a Carroll grid for two yes/no rules, a frequency table to count — and the mode is the value that shows up most.
✦ Math📘 Stage 4 · S4⏱ ~10 min🧒 Ages 8–9★ Free to start
I can sort data with Venn and Carroll diagrams; read frequency tables and find the mode.
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Kavi Sorts the Class 📋
Kavi asked everyone two questions and the answers piled up! "If groups overlap, I use a Venn — two circles that share a middle," hoots Kavi. "If I sort by two yes/no rules, I use a Carroll grid. Then I count each group in a frequency table — and the one counted most is the mode! 🦉"
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What your child will learn
1Venn diagram: the shared middleA Venn diagram uses circles that overlap. One circle is "likes dogs", the other is "likes cats". A child who likes both goes in the middle, where the circles cross. Tap each friend into the right part →
2Carroll diagram: a 2 × 2 gridA Carroll diagram sorts by two yes/no rules at once, making four boxes. Here the rules are even? and under 10?. Every number lands in exactly one box. Tap each number into its box →
3Frequency table → find the modeA frequency table lists each group and how many times it happened — its frequency. The group with the highest frequency is the mode: the most common value. The bars show the same counts — the tallest bar is the mode.
4Pick the right toolThree data tools, three jobs. Venn for groups that can overlap. Carroll for two yes/no rules with no overlap. A frequency table to count — then the mode is the group counted most.
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A peek inside
In a Venn, 3 friends like only dogs, 4 like only cats, and 2 like both. Where do the 2 'both' friends go?
both groups at once → the overlap
Try this at home: In a Venn diagram of 'likes dogs' and 'likes cats', where does someone who likes BOTH go? __
Ready to play and learn?
Start the free interactive lesson, or print the handout for screen-free play.
Part of Math · Stage 4 · S4 on KAVI Academy — a secular, whole-child learning platform for ages 5–12.