11. In a mathematics test, the following marks were obtained by 40 students of class VI. 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
(i) Find how many students obtained marks equal to or more than 7?
(ii) How many students obtained marks below 4?
Answer (2)
To organize the data provided into a table using tally marks, we first need to list the unique marks obtained by students and then tally these occurrences. Let's break this down step by step:
Step 1: List Unique Marks
The unique marks obtained by students are: 1, 2, 3, 4, 5, 6, 7, 8, 9.
Step 2: Count Occurrences Using Tally Marks
Marks: 1
Occurrences: 2
Tally: ||
Marks: 2
Occurrences: 3
Tally: |||
Marks: 3
Occurrences: 3
Tally: |||
Marks: 4
Occurrences: 7
Tally: |||| |||
Marks: 5
Occurrences: 6
Tally: |||| |
Marks: 6
Occurrences: 7
Tally: |||| |||
Marks: 7
Occurrences: 5
Tally: ||||
Marks: 8
Occurrences: 4
Tally: ||||
Marks: 9
Occurrences: 3
Tally: |||
Step 3: Sum Up the Tally Marks for Each Query
(i) Students with Marks Equal to or More Than 7:
Marks 7: 5 students
Marks 8: 4 students
Marks 9: 3 students
Total: 5 + 4 + 3 = 12 students
(ii) Students with Marks Below 4:
Marks 1: 2 students
Marks 2: 3 students
Marks 3: 3 students
Total: 2 + 3 + 3 = 8 students
Conclusion
The tally table helps visualize the frequency of each mark clearly. 12 students obtained marks equal to or more than 7 , and 8 students obtained marks below 4. This arrangement of data makes it easier to analyze and interpret the results of the test.
In total, 12 students scored marks equal to or greater than 7, while 8 students scored below 4. The tally marks help in visualizing the frequency of each score clearly. The process involved listing unique marks, counting occurrences, and organizing them into a table with tally marks.
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