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The following table shows the marks of students of class 10 in a school. Find the average marks of the distribution.
Marks:1,2,3,4,5,6,7,8,9
No.of.students:5,9,1,2,4,6,7,8,3?
Marks:1,2,3,4,5,6,7,8,9
No.of.students:5,9,1,2,4,6,7,8,3?
Most Upvoted Answer
The following table shows the marks of students of class 10 in a schoo...
To find the average marks of the distribution provided, we will follow these steps:
Step 1: Organize the Data
- **Marks**: 1, 2, 3, 4, 5, 6, 7, 8, 9
- **Number of Students**: 5, 9, 1, 2, 4, 6, 7, 8, 3
Step 2: Calculate Total Marks
To find the total marks, we multiply each mark by the corresponding number of students and then sum these products.
- Total Marks = (1×5) + (2×9) + (3×1) + (4×2) + (5×4) + (6×6) + (7×7) + (8×8) + (9×3)
Calculating each term:
- 1×5 = 5
- 2×9 = 18
- 3×1 = 3
- 4×2 = 8
- 5×4 = 20
- 6×6 = 36
- 7×7 = 49
- 8×8 = 64
- 9×3 = 27
Adding these values together:
- Total Marks = 5 + 18 + 3 + 8 + 20 + 36 + 49 + 64 + 27 = 230
Step 3: Calculate Total Number of Students
Next, we sum the number of students:
- Total Students = 5 + 9 + 1 + 2 + 4 + 6 + 7 + 8 + 3 = 45
Step 4: Calculate Average Marks
Now, we can calculate the average marks using the formula:
- Average Marks = Total Marks / Total Students
- Average Marks = 230 / 45 ≈ 5.11
Conclusion
The average marks of the distribution is approximately **5.11**. This value represents the central tendency of the marks obtained by the students in class 10, providing insight into their overall performance.
Step 1: Organize the Data
- **Marks**: 1, 2, 3, 4, 5, 6, 7, 8, 9
- **Number of Students**: 5, 9, 1, 2, 4, 6, 7, 8, 3
Step 2: Calculate Total Marks
To find the total marks, we multiply each mark by the corresponding number of students and then sum these products.
- Total Marks = (1×5) + (2×9) + (3×1) + (4×2) + (5×4) + (6×6) + (7×7) + (8×8) + (9×3)
Calculating each term:
- 1×5 = 5
- 2×9 = 18
- 3×1 = 3
- 4×2 = 8
- 5×4 = 20
- 6×6 = 36
- 7×7 = 49
- 8×8 = 64
- 9×3 = 27
Adding these values together:
- Total Marks = 5 + 18 + 3 + 8 + 20 + 36 + 49 + 64 + 27 = 230
Step 3: Calculate Total Number of Students
Next, we sum the number of students:
- Total Students = 5 + 9 + 1 + 2 + 4 + 6 + 7 + 8 + 3 = 45
Step 4: Calculate Average Marks
Now, we can calculate the average marks using the formula:
- Average Marks = Total Marks / Total Students
- Average Marks = 230 / 45 ≈ 5.11
Conclusion
The average marks of the distribution is approximately **5.11**. This value represents the central tendency of the marks obtained by the students in class 10, providing insight into their overall performance.
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The following table shows the marks of students of class 10 in a school. Find the average marks of the distribution. Marks:1,2,3,4,5,6,7,8,9No.of.students:5,9,1,2,4,6,7,8,3?
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The following table shows the marks of students of class 10 in a school. Find the average marks of the distribution. Marks:1,2,3,4,5,6,7,8,9No.of.students:5,9,1,2,4,6,7,8,3? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about The following table shows the marks of students of class 10 in a school. Find the average marks of the distribution. Marks:1,2,3,4,5,6,7,8,9No.of.students:5,9,1,2,4,6,7,8,3? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The following table shows the marks of students of class 10 in a school. Find the average marks of the distribution. Marks:1,2,3,4,5,6,7,8,9No.of.students:5,9,1,2,4,6,7,8,3?.
The following table shows the marks of students of class 10 in a school. Find the average marks of the distribution. Marks:1,2,3,4,5,6,7,8,9No.of.students:5,9,1,2,4,6,7,8,3? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about The following table shows the marks of students of class 10 in a school. Find the average marks of the distribution. Marks:1,2,3,4,5,6,7,8,9No.of.students:5,9,1,2,4,6,7,8,3? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The following table shows the marks of students of class 10 in a school. Find the average marks of the distribution. Marks:1,2,3,4,5,6,7,8,9No.of.students:5,9,1,2,4,6,7,8,3?.
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