question_answer

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:

The table with tally marks is shown below:
Marks	Tally marks	Number of students
1	\[||\]	2
2	\[|||\]	3
3	\[|||\]	3
4	\[\bcancel{||||}\,\,\,||\]	7
5	\[\bcancel{||||}\,\,\,|\]	6
6	\[\bcancel{||||}\,\,\,||\]	7
7	\[\bcancel{||||}\,\,\,\]	5
8	\[||||\]	4
9	\[|||\]	3
Total		40
(a) Here, we have to find out the students who obtained marks equal to 7 or more than 7. So, we have to add the number of students who obtained marks equal to 7 or more than 7 i.e., 7, 8 and 9. \[\therefore \] Number of those students = 5 + 4 + 3 = 12 Hence, 12 students obtained marks equal to 7 or more than 7.
(b) Here, we have to find out the students who obtained marks below 4. So, we have to add the number of students who obtained marks below 4 i.e., 1, 2 and 3. \[\therefore \] Number of those students = 3 + 3 + 2 = 8 Hence, 8 students obtained marks below 4.