Tally marks are the way of recording and presenting data using vertical bars 'I'. They are also called hash marks used for counting. Tally marks are used to make tally marks based on scores, marks, or any type of counting numbers. They are seen in a set of groups or with five lines (4 lines are vertical and 1 line across them horizontally). In this article, we will study Tally marks, their definition, tally marks chart, and tally marks use.
For Example: Let's see the frequency table with tally marks.
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1
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2
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3
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4
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5
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6
| ,|||| |
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What is Tally Marks?
Tally marks are frequently used in a variety of situations when a rapid and visible way to count is required, such as maintaining scores, tallying votes, noting attendance, etc. Although tally marks are effective for counting, greater numbers where a more formal numeral system is frequently employed could not be as well represented by them. Even, they are also known as hash marks as well.
Tally Marks Definition
Tally Marks is way of recording data using vertical bars. It is a type of number that is utilized in counting. Tally marks are typically written as a group or as a series of five lines. Each of the fifth line's lines crosses over the preceding four vertical lines diagonally after the first four are drawn vertically.
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Counting Tally Marks
Tally marks are represented by the symbol of '|'. To make tally marks easier to read, they are grouped into five groups as a hashed mark pattern. Therefore, it can be drawn as a separate line for each of the first four counts, and for the fifth count, the line crosses over the lines from the previous four counts. We will resume drawing separate lines for the sixth count and the same pattern can be followed for every 5 counts in tally marks. Let's see the example of tally counting:
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3
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4
| ||||
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6
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8
| |||| |||
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Tally Marks Symbols
Tally Marks are represented using vertical Lines. For examples 1 is represented by single vertical line i.e. I and for 2 two vertical lines II are used. Similary used for 3 and 4. The significant number is 5 which is represented using four vertical lines and a strikethrough. The detailed symbol for numbers 1 to 10 are shown below in Tally Marks Chart
Tally Marks Chart
Tally Marks Chart contains the tally mark representation of numbers from 1 to 10. Based on this we can write Tally Marks 1 to 100.
Tally Marks ChartTally Marks Table
A chart with tally marks indicates that the data is presented in a tabular manner. A tally mark chart helps to provide the data with a clear perspective. The most practical technique to keep track of numbers in groups of five is to use tally markings on a table. The following is the Tally Marks table:
Example: A burger vendor created the chart that is shown below, which has two columns: "day" and "Burger sold on each day." Rather than counting, the vendor utilized tally marks to indicate how many Burgers were sold each day. There are tally marks in the column for sold burgers. Let's see how many burgers are sold equally in the day.
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Monday
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Tuesday
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Wednesday
| |||
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Thursday
| |||| |||
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Friday
| |||| ||||
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Saturday
| ||
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Solution:
According to the above table
No. of burgers sold equally on Monday and Thursday are 8 burgers.
Tally Marks Uses
Tally marks are commonly used in tasks like tracking the frequency of an event, recording scores, and counting votes. To teach us the fundamentals of math and counting in the classroom, teachers utilize tally marks. Think of them as the small lines we hastily draw to represent numbers. To sum up, tally marks are an easy and flexible method to work with numbers, whether you're using them to keep track of attendance in class or to calculate gaming scores.
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Example: Let’s consider the marks of 20 students in standard "IV" in a particular school. The scores are as follows: 52,43,56,45,52,43,56,73,43,52,43,52,56,73,43
Solution:
Let's allot the score and tally marks and frequency.
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52
| ||||
| 4
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43
| ||||
| 5
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56
| |||
| 3
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45
| |
| 1
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73
| ||
| 2
|
Total:
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| 15
|
Solved Examples on Tally Marks
Example 1: Consider a chocolate box with lots of chocolates. Meena has different types of chocolates which are given in the table below:
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KitKat
| ||||
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Amul
| ||
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Cadbury
| |||| ||||
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Mars
| |||| ||
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Milky bar
| |||| ||||
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Use the table, and answer the following questions:
- How many Mars chocolates are there?
- Which two chocolates are the same number?
- Which chocolate is the minimum in the numbers?
Solution:
Using the given tally mark table, we can easily answer the given questions with the required information:
- It can be seen that there are 7 tally marks in front of the Mars row. So the number of Mars chocolates is 7.
- It can be seen that in front of Cadbury and Milky Bar, the number of tally marks is 10. So both Cadbury and Milky Bar have the same number of chocolates.
- It can be seen Amul have a minimum number of chocolates.
Example 2: John looks at the variety of colorful toys in the market. These are the outcomes that he mentioned. Red, Orange, Blue, Green, Orange, Blue, White, Red, Blue, and so on. Make a tally of John's results. Sort the information into tally marks to determine the number of orange toys he saw.
Solution:
Let's make a table according to outcomes:
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Red
| ||
| 2
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Orange
| ||
| 2
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Blue
| |||
| 3
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Green
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| 1
|
White
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| 1
|
John has seen "2" orange toys in the market.
Example 3: Imagine you are recording the number of students who prefer different fruits. Use tally marks to create a frequency table for apples, bananas, oranges, and grapes.
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Apples
| 10
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Bananas
| 20
|
Oranges
| 15
|
Grapes
| 5
|
Total
| 50
|
Solution:
The Tally Marks Table for the above data is given below:
|
Apples
| 10
| |||| ||||
|
Bananas
| 20
| |||| |||| |||| ||||
|
Oranges
| 15
| |||| |||| ||||
|
Grapes
| 5
| ||||
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Total
| 50
|
|
Example 4. Mohan surveyed to find out the favorite colors of students in his class. He recorded the data using tally marks.
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Red
| ||||| |
Blue
| ||||||| |
Green
| ||| |
Yellow
| |||||| |
Purple
| || |
Calculate the total number of students surveyed.
Solution:
To find the total number of students surveyed, count the tally marks for each color and add them.
- Red: 5
- Blue: 7
- Green: 3
- Yellow: 5
- Purple: 1
Total students surveyed = 5 + 7 + 3 + 5 + 1 = 21
Therefore, Alex surveyed 21 students.
Example 5: Draw a tally marks table for the following data: A, B, A, B, C, G, F, G, C, B, A, F, C, G, B, F, A, F, C, G, B, F, C, F.
Solution:
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A
| ||||
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B
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C
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F
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G
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Tally Marks - Worksheet
Q1. How to write 2 in Tally marks?
Q2. Let's maintain the marks obtained by students in tally marks frequency: 7, 8, 7, 8, 9, 10, 7, 8, 9, 10, 9, 8, 7, 10, 9
Q3. Make a tally marks table for the following data: 1, 2, 3, 3, 2, 1, 2, 3, 1, 2, 3, 4, 4, 3, 1, 2
Q4. Mohan looks at the variety of colorful pants in the market. These are the outcomes that he mentioned.
Outcomes: Black, blue, brown, blue, black, brown, brown, blue, white, white, black, blue
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