Tally Marks

Before numbers were invented people found it difficult to keep the records of their belongings and hence they used to do counting by sticks which is further known as tally marks.Tally marks, or hash marks, are a form of unary numeral system used for counting. Tally marks are most commonly used to represent the scoreboard in games and sports.A frequency of data can be easily represented using Tally marks.

Tally marks are denoted by a single vertical bar ‘ | ‘.

Here are 1 to 4 counting numbers represented in tally marks:

(Image to be added soon)

Tally records counting using a mark ‘|’. You may use the tally method to solve addition, subtraction, or word problems.


Tally Marks Definition

Tally marks is a way to mark or record your counting.Tally marks are a numerical system used to make counting easier. As the name suggests, it is a system that helps keep “tally” of things by number. Tally marks are commonly used for counting scores, points, number of people, etc.Tally marks differ from country to country, as each culture has developed their own systems.

The general way of writing tally marks is four lines  drawn vertically and the fifth line runs across the previous four vertical lines, i.e., from the top of the first line to the bottom of the fourth line. Then continue with the single lines again Tally mark is the set of five lines. Set of five lines are expressed as below:

(Image to be added soon)

The sixth line will be written in this way-

(Image to be added soon)


Counting Tally Marks

Let us understand how to use tally marks for counting 1 to 10 numbers. Here are the counting numbers and the tally marks representing it.

Number 1 – 10

1

|

••

2

||

•••

3

|||

••••

4

||||

•••••

5

(Image to be added soon)

••••••

6

(Image to be added soon)

•••••••

7

(Image to be added soon)

••••••••

8

(Image to be added soon)

•••••••••

9

(Image to be added soon)

••••••••••


(Image to be added soon)

 

  • One is expressed by ‘|’ tally marks.

  • Two one is represented by ‘| |’ tally marks.

  • Three is represented by ‘| | |’ tally marks.

  • Four is denoted by ‘||||’ tally marks.

  • Five is not denoted by  five ‘| | | | |’ tally marks. For the number 5, draw four vertical lines (||||) and a line across the four lines (\). It is represented as ( Image to be added soon)

  • Sixth line is written as a single mark after a set of five lines, represented as ‘(Image to be added soon)|.and similarly you can continue.

  • And then tenth line is represented as (Image to be added soon).


Tally Mark Chart

In statistics, a tally mark chart or graph is used for  a graphical representation of the data. It helps us in organising data in a clear view. Tally marks on graphs are a quick way of keeping track of numbers in groups of five. When you see lots of tally marks showing data information in a table, you have a tally chart.

Let's look at an example for how to read and interpret tally charts.

For Example:

Let's say you decided to make a tally chart to show what your and your friends favorite types of candy are. If you record it by using numbers every time you have to erase the previous data and write the new one. So instead of using numbers, you use tally marks.it will become easier for you to record the data.

Chocolate Bars

(Image to be added soon)

Fruit – Flavored Hared candy 

||||

Chocolate with caramel 

||

Butterscotch – Flavored chews

|||

None

|


To read this chart, all you have to do is count how many tally marks are there next to each type of candy.

  • First is ‘Chocolate Bars’ six of your friends like it so you will write first the set of five tally marks and then one tally mark in this way you will write six tally marks.

  • Second candy is  'Fruit-Flavored Hard Candy,' four of your friends like this type of candy so you make four tally marks next to it.

  • Third is 'Chocolate with Caramel Inside,' 2 of your friends like this type of candy so there are 2 tally marks.

  • Next is 'Butterscotch-Flavored Chews,'3 of your friends like this type of candy, so  there are 3 tally marks.

  • Next is 'None,' 1 of your friends doesn't like any of the candies listed, so write 1 tally mark.

If you take a look at the tally marks next to Chocolate Bars , you'll see they look a little different. Tally marks are grouped by 5. Once you get to the fifth tally mark, you must draw that one across the other tally marks like in the picture.

After the fifth tally mark, you need to start a new group.

This is what tally marks that show more than 5 look like:

(Image to be added soon)  = 19 tally marks


Fun Facts:

  • The successive strokes of 正 (Image to be added soon) are used in China, Japan and Korea to represent tally marks.

  • In France, Spain, South America, and some parts of Africa, instead of four vertical lines and a fifth diagonal one, they create a square with a diagonal through it (from upper right to bottom left). 

(Image to be added soon)

  • Tally Using Dots and Lines

(Image to be added soon)

There is another way to use tally that is Tukey Tallying. But it is a little slower, as drawing dots takes a long time.

 

Solved Examples

Example 1:

Rita recorded the vowels (a, e, i, o and u) from a page of her book, with the following results:

a, e, e, i, o, a, a, e, e, e, o, a, i, u, u, e, a, a, i, e, e, e, a, u, o, o, e, e, a, a, o, e, a, e, i, o, i, e, a, e

Make a tally of Rita's results.

How many more of the letter "e" did she get than the letter "u"?

Solution:


Letter

Tally

Frequency

a

(Image to be added soon)

11

c

(Image to be added soon)

15

(Image to be added soon)

5

o

(Image to be added soon)

6

|||

3


Total

40


She got 15 e's a0nd 3 u's.

So she got 12 more e's than u's.


Example 2:

John counted the different colored cars that passed the school gate in five minutes with the following results:

Red, Black, Green, Red, White, Blue, Yellow, Red, Blue, White

Make a tally of John's results.

How many blue cars did he see?

Solution: 

Color

Tally

Frequency 

Red 

|||

3

Black

|

1

Green

|

1

White

||

2

Blue

||

2

Yellow

|

1


Total 

10


He saw 2 blue cars.


Quiz Time

  1. Daisy did a survey of the numbers of brothers and sisters for each of the children in her class with the following results:

0, 1, 5, 3, 6, 4, 0, 0, 1, 2, 3, 1, 0, 1, 5, 4, 2, 1, 3, 3, 2, 1, 0, 1

Make a tally of Daisy's results.

How many children had no brothers or sisters?


  1. Eaan sat thirty different quizzes with ten questions each. 

The number of questions he got correct each time were as follows:

4, 2, 6, 8, 3, 5, 5, 3, 6, 6, 7, 4, 3, 10, 5, 4, 9, 7, 6, 3, 8, 8, 4, 4, 5, 3, 6, 4, 7, 9

Make a tally of Ian's results.

In how many quizzes did he score 8 or more?

FAQ (Frequently Asked Questions)

1. What is Frequency Distribution ?

The representation of the various observations and tally marks in a form of table is the frequency distribution. The frequency is the number of the times an observation occurs. It is the number of repetitions. Consider a class of 30 students, 5 like badminton,3 like tennis, 4 like football, 7 like volleyball,10 students like cricket, and 1 likes hockey.

Frequency Distribution Representation of this data:

(Image to be added soon)

This table is the frequency distribution table or the frequency table. Each item of this table, badminton, cricket etc. is an observation. The number of the students is the frequency.

2. What is The Tally Chart?

A tally chart is a simple means of recording small samples of categorical data in an organized way. The information gathered by a tally chart is to be separated into categories.A tally chart is often the stepping stone between gathering information to displaying information in a graph. Use tally charts or a frequency table to prepare for bar graphs and other visual data displays.Making tally marks next to a category is much more efficient than listing items as they are reported.

Tally charts are very easy to make, and very easy to use.