Question

In a Mathematics test, the following marks were obtained by \[40\] students. Arrange these marks in a table using tally marks.

\[8\]	\[1\]	\[3\]	\[7\]	\[6\]	\[5\]	\[5\]	\[4\]	\[4\]	\[2\]
\[4\]	\[9\]	\[5\]	\[3\]	\[7\]	\[1\]	\[6\]	\[5\]	\[2\]	\[7\]
\[7\]	\[3\]	\[8\]	\[4\]	\[2\]	\[8\]	\[9\]	\[5\]	\[8\]	\[6\]
\[7\]	\[4\]	\[5\]	\[6\]	\[9\]	\[6\]	\[4\]	\[4\]	\[6\]	\[6\]

(a) Find how many students obtained marks equal to or more than \[7\].
(b) How many students obtained marks below \[4\]?

Answer 1

Hint: In the given question, we are given the marks that were obtained by \[40\] students and we have to arrange these marks in a table using tally marks. Tally marks are a form of numeral used for counting and are useful in counting or tallying ongoing results. Tally marks are useful in various spheres of life.

Complete step-by-step answer:
Here, we have a total of \[40\]students and their marks obtained by them in a test.
We count the number of students scoring a particular score in order to make a table using tally marks.
So, the number of students obtains \[1\] mark $ = 2$
The number of students obtains \[2\] marks $ = 3$
The number of students obtains \[3\] marks $ = 3$
The number of students obtains \[4\] marks $ = 7$
The number of students obtains \[5\] marks $ = 6$
 The number of students obtains \[6\] marks $ = 7$
The number of students obtains \[7\] marks $ = 5$
The number of students obtains \[8\] marks $ = 4$
The number of students obtains \[9\] marks $ = 3$

Marks	Tally Marks	No. of students
1	$||$	2
2	$|||$	3
3	$|||$	3
4	${{||||}}\,||$	7
5	${{||||}}\,|$	6
6	${{||||}}\,||$	7
7	${{||||}}$	5
8	$||||$	4
9	$|||$	3

Tally marks representation is as shown above.
(a) Total number students obtained marks equal to or more than \[7\]
= Number of students obtained \[7\] marks + Number of students obtained \[8\] marks + Number of students obtained \[9\] marks\[ = 5 + 4 + 3 = 12\]
Thus, twelve students obtained marks equal to or more than \[7\].

(b) Total number students obtained marks below \[4\]
= Number of students obtained \[1\] mark + Number of students obtained \[2\] marks + Number of students obtained \[3\] marks\[ = 2 + 3 + 3 = 8\]
Thus, eight students obtained marks below \[4\].


Note: In these types of questions, we first arrange the given data in proper order and then try to answer the questions that follow. Tally is a basic statistical representation of data that is used for counting purposes.