Let's break down the problem and understand the given data clearly. We have a table that indicates the marks obtained by students and the number of students who scored those particular marks. Here is the data rephrased:
| Marks | 28 | 38 | 48 | 68 | 60 | 18 | 10 |
|--------|----|----|----|----|----|----|----|
| No. of students | 38 | 40 | 50 | 60 | 70 | 80 | 90 |
1. Marks Obtained:
- 28 marks are scored by 38 students.
- 38 marks are scored by 40 students.
- 48 marks are scored by 50 students.
- 68 marks are scored by 60 students.
- 60 marks are scored by 70 students.
- 18 marks are scored by 80 students.
- 10 marks are scored by 90 students.
2. Understanding the Data:
- The first row represents the different marks scored by students.
- The second row represents the number of students who have scored those respective marks.
3. How to Use This Data:
- If you need information on how many students scored a particular mark, you can look it up directly.
- Example: 60 students scored 68 marks.
4. Further Analysis:
- Total Number of Students: To get the total number of students, sum up all the values given in the second row.
Total students = 38 + 40 + 50 + 60 + 70 + 80 + 90 = 428 students.
- Mean Marks: If we were to calculate the mean marks (average marks), we would use the formula:
[tex]\[
\text{Mean Marks} = \frac{\sum (\text{Marks} \times \text{Number of Students})}{\text{Total Number of Students}}
\][/tex]
This requires calculating the product of each mark with the number of students who scored that mark, summing these products, and then dividing by the total number of students.
In summary, the table gives a clear distribution of how many students scored each of the given marks. This data can be used to perform various statistical analyses, such as calculating the mean, median, mode, range, variance, and standard deviation, which are fundamental to understanding the performance distribution of the students.
