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Data & Statistics · Lesson 2 of 14

Counting with Tally Marks

A tally mark is a quick line you draw each time you count one thing. Every fifth mark crosses the first four, so groups of five are easy to count.

What you will learn

  • Record counts with tally marks.
  • Count tally marks in fives.
  • Read a tally chart and compare the groups.

Before you start: you should be able to count in fives. See Skip Counting.

The idea

When you count things as they happen, such as cars passing or votes coming in, you cannot stop to write each number. Instead you make a quick tally mark (a short line) for each one. Every fifth mark is drawn across the first four, so each group of five is one bundle.

Tally chart: Cats 12, Dogs 7, Fish 5Tally chart: Cats 12, Dogs 7, Fish 5. Groups of five are four lines with a strike through.Cats12Dogs7Fish5
A tally chart of pets. Count the bundles in fives, then add the extra lines. Cats: 5 + 5 + 2 = 12.

Counting a tally

Count in fives for each full bundle, then count on in ones. For three bundles and two extra lines, say “5, 10, 15, 16, 17”.

Tally chart: 5 5, 10 10, 17 17, 23 23Tally chart: 5 5, 10 10, 17 17, 23 23. Groups of five are four lines with a strike through.5101723
The tally for 5, 10, 17 and 23. Each crossed bundle is worth 5.

From tally to totals

Once you have counted each group, you can write the frequency (how many) as a number, compare the groups and add them for a total. A tally chart is often the first step before drawing a graph.

Bar comparison of Cats, Dogs and FishCats is 12; Dogs is 7; Fish is 5. Longer bars are bigger amounts.Cats12Dogs7Fish5
The same pet data drawn as bars. The tally gives the counts and the bars make the comparison easy to see.

Worked examples

Example 1: Reading a tally

A tally shows 22 full bundles and 44 extra marks. How many is that?

  1. 2×5=102 \times 5 = 10.
  2. 10+4=1410 + 4 = 14.

Answer: 1414

Example 2: Comparing

Cats 1212, dogs 77, fish 55. Which is most common and how many animals are there?

  1. The biggest count is 1212, for cats.
  2. Total: 12+7+5=2412 + 7 + 5 = 24.

Answer: cats are most common, and there are 2424 animals.

Example 3: Making a tally

Draw the tally for 1313.

  1. 13=5+5+313 = 5 + 5 + 3.
  2. Draw two crossed bundles and then three single lines.

Answer: two bundles and three extra marks

Tip: leave a small gap between bundles so you can see each group of five at a glance.

Why it matters

Tally marks are used for stock counts, election counts, sports scores and traffic surveys. They let you record fast and count without mistakes later. Next you will learn to read data from tables and pictograms.

Practice

Your turn. Type or choose an answer, then press Check. Getting one wrong is fine, that is what practice is for. You can try as many times as you like.

Question 1 of 8

A tally shows 33 full groups of five and 22 extra marks. What is the total?

Question 2 of 8

How many full groups of five are in 2323?

Question 3 of 8

A tally shows 1212 cats and 77 dogs. How many more cats than dogs?

Question 4 of 8

A tally shows 1212 cats, 77 dogs and 55 fish. How many animals in total?

Question 5 of 8

A tally shows 44 groups of five and 33 extra marks. What is the total?

Question 6 of 8

Votes: 1414 for team A and 99 for team B. How many votes were counted in all?

Question 7 of 8

How do you draw the fifth tally mark?

Choose one answer

Question 8 of 8

A class has counted 2727 cars so far and wants to reach 4040. How many more tally marks are needed?