The given data consists of information about the male and female students in the commerce and science departments of a college over a period of 5 years.


To understand the data and draw meaningful insights, we need to analyze the information provided.


Let's break down the data year-wise to analyze the trends in each department over the 5-year period.


- Number of male students in commerce department: X1
- Number of female students in commerce department: Y1
- Number of male students in science department: A1
- Number of female students in science department: B1


- Number of male students in commerce department: X2
- Number of female students in commerce department: Y2
- Number of male students in science department: A2
- Number of female students in science department: B2


- Number of male students in commerce department: X3
- Number of female students in commerce department: Y3
- Number of male students in science department: A3
- Number of female students in science department: B3


- Number of male students in commerce department: X4
- Number of female students in commerce department: Y4
- Number of male students in science department: A4
- Number of female students in science department: B4


- Number of male students in commerce department: X5
- Number of female students in commerce department: Y5
- Number of male students in science department: A5
- Number of female students in science department: B5


To identify trends and patterns in the data, we can compare the numbers across different years and departments.

- Overall Gender Distribution: Calculate the total number of male and female students in both departments for each year and identify any significant changes or imbalances.
- Gender Ratios: Calculate the male-female ratio in each department for each year to see if there are any variations or trends over time.
- Department Preferences: Compare the number of students in commerce and science departments for each year to identify any shifts in student preferences over time.
- Yearly Changes: Analyze the changes in the number of students in each department from year to year to identify any patterns or fluctuations.


By analyzing the given data, we can identify trends and patterns in the male and female student population in the commerce and science departments of the college over a 5-year period. This analysis can provide insights into gender distribution, gender ratios, department preferences, and yearly changes, helping the college administration make informed decisions and plan strategies accordingly.