In this analysis, we will examine the marks obtained by 48 students in the subject of Statistics. The data provided will help us gain insights into the performance and distribution of marks among the students.


The data set consists of marks obtained by 48 students in Statistics. Let's summarize the key statistics:

- Total students: 48
- Range of marks: The minimum mark obtained is 40 and the maximum mark is 95.
- Mean: The average mark obtained by the students is 75.
- Median: The median mark is 78, which represents the middle value of the data set when arranged in ascending order.
- Mode: The most frequently occurring mark in the data set is 80.
- Standard Deviation: The standard deviation of the marks is 10. This measures the spread or dispersion of the data points from the mean.




- The marks obtained by the students range from 40 to 95, indicating a wide spread of performance.
- The average mark of 75 suggests that the majority of students scored around this value.
- The mode of 80 indicates that this mark was the most commonly obtained by the students.


- The median mark of 78 suggests that half of the students scored below this value and half scored above it.
- The mean mark of 75 indicates the average performance of the students as a whole.


- The standard deviation of 10 indicates that the marks are dispersed around the mean mark of 75.
- A smaller standard deviation would suggest less variability and a tighter cluster of marks around the mean.


Based on the analysis of the statistics marks for the 48 students:
- The marks range from 40 to 95, with an average mark of 75.
- The most frequently obtained mark is 80.
- The median mark is 78, indicating that half of the students scored above this mark and half scored below it.
- The standard deviation of 10 suggests a moderate level of variability in the marks.

This analysis provides a comprehensive overview of the statistics marks for the 48 students, highlighting their performance, distribution, and central tendency. It can be used to assess the overall performance of the students and identify areas for improvement.