Who among the following scored the maximum overall percentage? Marks (out of 100)
Name English Hindi Maths Science IT Simran 78 65 89 78 66 Sanjana 87 70 95 84 84 Payal 93 73 65 77 85 Bhumika 74 84 88 87 79 Neha 82 87 84 85 89 Jyoti 69 90 93 88 92
Calculating Maximum Overall Percentage
This solution explains how to determine which student achieved the highest overall percentage based on their marks in different subjects. We will calculate the total marks for each student and then find their overall percentage.
Student Marks Data
| Name | English (out of 100) | Hindi (out of 100) | Maths (out of 100) | Science (out of 100) | IT (out of 100) |
|---|---|---|---|---|---|
| Simran | 78 | 65 | 89 | 78 | 66 |
| Sanjana | 87 | 70 | 95 | 84 | 84 |
| Payal | 93 | 73 | 65 | 77 | 85 |
| Bhumika | 74 | 84 | 88 | 87 | 79 |
| Neha | 82 | 87 | 84 | 85 | 89 |
| Jyoti | 69 | 90 | 93 | 88 | 92 |
Step 1: Calculate Total Marks for Each Student
First, we need to sum the marks obtained by each student across all five subjects. Since each subject is marked out of 100, the total maximum possible marks for each student is $5 \times 100 = 500$.
The calculation for total marks involves adding the scores from each subject:
Total Marks = English + Hindi + Maths + Science + IT
Let's calculate the total marks for every student:
- Simran: $78 + 65 + 89 + 78 + 66 = 376$ marks
- Sanjana: $87 + 70 + 95 + 84 + 84 = 420$ marks
- Payal: $93 + 73 + 65 + 77 + 85 = 393$ marks
- Bhumika: $74 + 84 + 88 + 87 + 79 = 412$ marks
- Neha: $82 + 87 + 84 + 85 + 89 = 427$ marks
- Jyoti: $69 + 90 + 93 + 88 + 92 = 432$ marks
Step 2: Calculate Overall Percentage
After finding the total marks for each student, the next step is to calculate their overall percentage. This is done by dividing the student's total marks by the total possible marks (500) and multiplying by 100.
The formula used is:
Percentage = \frac{Total \, Marks}{Total \, Possible \, Marks} \times 100
Applying this formula to the total marks calculated earlier:
- Simran: $\frac{376}{500} \times 100 = 75.2\%$
- Sanjana: $\frac{420}{500} \times 100 = 84.0\%$
- Payal: $\frac{393}{500} \times 100 = 78.6\%$
- Bhumika: $\frac{412}{500} \times 100 = 82.4\%$
- Neha: $\frac{427}{500} \times 100 = 85.4\%$
- Jyoti: $\frac{432}{500} \times 100 = 86.4\%$
Step 3: Identify Maximum Overall Percentage
Finally, we compare the calculated overall percentages for all students to find out who scored the highest.
| Name | Total Marks (out of 500) | Overall Percentage |
|---|---|---|
| Simran | 376 | 75.2% |
| Sanjana | 420 | 84.0% |
| Payal | 393 | 78.6% |
| Bhumika | 412 | 82.4% |
| Neha | 427 | 85.4% |
| Jyoti | 432 | 86.4% |
Comparing the percentages:
- Simran: 75.2%
- Sanjana: 84.0%
- Payal: 78.6%
- Bhumika: 82.4%
- Neha: 85.4%
- Jyoti: 86.4%
The highest percentage among all students is 86.4%. This percentage was achieved by Jyoti.
Therefore, Jyoti scored the maximum overall percentage.
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Source
Amit
Suresh
Nitin
Varun
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Arrears
6000
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5000
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1000
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Students
P1
P2
P3
P4
S1
89
100
92
91
S2
62
52
72
37
S3
57
55
70
65
S4
76
85
76
58
S5
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70
66
62
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Savings
(in Rs.)
Number of people
5
1
15
3
20
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25
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30
1
35
1
40
2
What is the mode of the given data?
