🔢 MathGrade 2Lesson 33
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Create Bar Graphs and Tally Charts

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What you will learn

  • 1Use tally marks to record data, grouping every fifth mark
  • 2Read a tally chart
  • 3State the total for each category
  • 4Read a bar graph to find which category has the most or fewest responses
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Mini Lesson

When we collect information about a group of things, we call it data. Two great ways to organize and show data are tally charts and bar graphs.

Tally marks

  • Each tally mark stands for 1 item.
  • After 4 marks, draw the 5th mark across the group — this makes a bundle of 5 that is easy to count quickly.
  • To find the total, count the bundles of 5 first, then add the extras.
  • Example: 4 marks crossed + 2 extras = 5 + 2 = 7.

Tally charts

  • A tally chart has a category column (what you are counting) and a tally column (the marks).
  • You can also add a total column to write the number.
  • Ask a survey question and add one tally mark for each answer you hear.

Bar graphs

  • A bar graph uses bars to show how many are in each category.
  • The taller the bar, the more items in that category.
  • Always check the title and the labels on the axes before reading.
  • Compare bars to answer questions like "Which is most?" or "How many more?"

Words to know

Data

Information that has been collected

e.g. We collected data about favorite fruits.

Tally mark

A line that stands for one item

e.g. Each tally mark counts as one vote.

Tally chart

A chart with categories and tally marks

e.g. I made a tally chart of pets on our street.

Bar graph

A graph that uses bars to show how many

e.g. The tallest bar on the bar graph showed dogs.

Category

A group of things that are alike

e.g. Each fruit was its own category.

Total

The full count for a category

e.g. The total for dogs was 7.

How tally marks workA diagram showing tally marks: four strokes for 1 to 4, a diagonal 5th stroke across four verticals for 5, then one bundle of 5 plus 2 extras for a total of 7.How Tally Marks WorkMarks 1-4 (one stroke each):= 4Mark 5 (diagonal cross):= 55 + 2 extra = 7 total:= 7Favorite Pet - Tally ChartDogs|||| X ||7Cats|||| X5Fish|||3
How to draw tally marks — single strokes for 1-4, a diagonal cross for the 5th, and a sample tally chart.
Bar graph showing favorite petsA bar graph titled Favorite Pet with four categories: Dogs 7, Cats 5, Fish 3, Birds 2. The tallest bar is labeled Most and the shortest is labeled Fewest.Favorite Pet - Bar Graph012345678DogsCatsFishBirdsMost!FewestCategory (type of pet)Number of votes
A bar graph of favorite pets — Dogs (7), Cats (5), Fish (3), Birds (2) — showing the tallest (Most) and shortest (Fewest) bars.
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Ask yourself: "What is the title? Which axis shows the numbers? Which bar is tallest — and which is shortest?"

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