Understanding Student Data Across Different College Courses

This question asks us to analyze the provided table containing the total number of students, percentage of male students, and percentage of female students for various college courses. We need to calculate the ratio of the total number of female students in graduation courses (B.Sc. and B.A.) to the total number of female students in post-graduation courses (M.Sc. and M.A.).

Analyzing the Student Data Table

Let's first look at the data presented in the table:

We are interested in the number of female students in B.Sc., B.A., M.Sc., and M.A. courses.

Calculating Female Students per Course

To find the number of female students in each course, we multiply the total number of students by the percentage of female students for that course and divide by 100.

• Female students in B.Sc.:

  Total students in B.Sc. are 400. Percentage of female students is 35%.

  Number of female students in B.Sc. $= 400 \times \frac{35}{100} = 4 \times 35 = 140$

• Female students in B.A.:

  Total students in B.A. are 650. Percentage of female students is 46%.

  Number of female students in B.A. $= 650 \times \frac{46}{100} = 6.5 \times 46 = 299$

• Female students in M.Sc.:

  Total students in M.Sc. are 280. Percentage of female students is 25%.

  Number of female students in M.Sc. $= 280 \times \frac{25}{100} = 280 \times \frac{1}{4} = 70$

• Female students in M.A.:

  Total students in M.A. are 340. Percentage of female students is 45%.

  Number of female students in M.A. $= 340 \times \frac{45}{100} = 3.4 \times 45 = 153$

Total Female Students in Graduation (B.Sc. + B.A.)

Graduation courses considered here are B.Sc. and B.A. We add the number of female students from these two courses.

Total female students in Graduation $= \text{Female students in B.Sc.} + \text{Female students in B.A.}$

Total female students in Graduation $= 140 + 299 = 439$

Total Female Students in Post-Graduation (M.Sc. + M.A.)

Post-graduation courses considered here are M.Sc. and M.A. We add the number of female students from these two courses.

Total female students in Post-Graduation $= \text{Female students in M.Sc.} + \text{Female students in M.A.}$

Total female students in Post-Graduation $= 70 + 153 = 223$

Determining the Ratio of Female Students

We need to find the ratio of female students in graduation (B.Sc. + B.A.) to female students in post-graduation (M.Sc. + M.A.).

Ratio $= \frac{\text{Total female students in Graduation}}{\text{Total female students in Post-Graduation}}$

Ratio $= \frac{439}{223}$

The ratio of female students in graduation and female students in post-graduation is 439/223.

Revision Table: Key Calculations

• Total female students in Graduation (B.Sc. + B.A.) = $140 + 299 = 439$
• Total female students in Post-Graduation (M.Sc. + M.A.) = $70 + 153 = 223$
• Ratio = $\frac{439}{223}$

Additional Information on Data Interpretation

Data interpretation questions often involve extracting specific information from tables, charts, or graphs and performing calculations based on that data. Key skills include:

• Reading and understanding the data labels and units.
• Identifying the specific data points required for the calculation.
• Performing arithmetic operations (addition, subtraction, multiplication, division) accurately.
• Calculating percentages and ratios correctly.
• Being careful with units and conversions if necessary (though not required in this problem).
• For ratio questions, ensure the terms are in the correct order (e.g., A to B means A/B).

Practicing with different types of data representation helps improve data interpretation skills for exams.