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Let us answer the following questions using the tally chart. Example 3: The approximate heights of 42 students (in cm) of class V are listed below:
( a) What is the maximum score? 20 142 145 150 152 142 142 148
( b) What is the minimum score? 9 145 155 150 150 152 145 145

( c) How many students got less than 15 marks? 15 155 152 152 155 148 148 150
( d) How many students got more than 17 marks? 8 145 150 155 150 145 145 148
( e) How many students got 19 marks? 2 142 145 142 155 148 150 148
142 152 150 150 155 142 142

Think Tank Logical Thinking Tabulate the above data using tally marks and then answer the following questions.
A maths teacher of class V collects information about the colour each student likes. ( a) What is the approximate height of the least number of students?
Red, Pink, Blue, Red, Green, Black, Purple, Blue, Red, Black, Purple, Pink, Blue, Yellow, Red, Blue,
Purple, White, Pink, Yellow, Brown, Pink, Brown, Green, Red, Black, Blue, Purple, Black, Blue ( b) What is the approximate height of the most students?
Read the above information and answer the following questions. ( c) How many students have a height of approximately 148 cm?
1. How many students like red? 2. How many students like yellow?
3. Which is the least preferred colour? 4. Which is the most preferred colour? ( d) How many students have a height of approximately 155 cm?

Organising Data using tally marks Solution:
Height (in cm) Tally marks No. of students
Example 2: The sizes of shoes worn by 32 students of class V are given below:
142 ||| 8
5 6 4 6 7 5 6 5 145 ||| 8
6 5 4 6 5 6 5 6 |
7 7 6 6 7 7 6 6 148 6
4 7 7 5 5 6 5 6 150 |||| 9

Organise the data in tabular form using tally marks. 152 5
Solution: Step 1: Look at the given data. In how many categories can the data be 155 | 6
grouped? Here, the shoe sizes are 4, 5, 6 and 7. Total 42
Step 2: Make a table with a suitable Shoe Tally Number of ( a) 152 cm is the approximate height of the least number of students.

number of columns and rows size marks students ( b) 150 cm is the approximate height of the most students.
(here, 3 columns and 6 rows) and 4 ||| 3
label them as shown alongside. 5 |||| 9 ( c) 6 students have a height of approximately 148 cm.
Step 3: Now, cross out one number at 6 ||| 13 ( d) 6 students have a height of approximately 155 cm.
a time and add a bar to the 7 || 7
corresponding row of tally marks. Total = 32 Practice time 13a
Continue adding the tally marks by
crossing out all the items (data). 1. Complete the table given below.
Step 4: Now, write the number of students for each shoe size by counting the Fruits Tally marks Number of fruits
bars in each respective row. Mango 6

Step 5: Find the total number of students by adding the number of students Banana |||
in all the rows.
Apple 4
We can easily find the number of students wearing a particular shoe size. Papaya ||||

Teacher’s Encourage the children to arrange the given data in ascending order before grouping the data into categories. Orange
Tip Grapes 16

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