Question

A bar graph shows the number of students in 5 departments of a college. If the average number of students is 240 and the number of students in the Science department is 320, how many students are there in total in the other four departments?

• A. 960
• B. 880
• C. 920
• D. 800

Hint:

To find the total from an average, multiply by the number of groups. Subtract known values to get the rest.

Answer 1

The Correct Option is B

To resolve this issue, we must ascertain the aggregate student count across the remaining four academic units. This is contingent upon the provided mean student enrollment and the specific count from one unit.

1. Fundamental Principles:

- Mean: The arithmetic mean is computed by summing all values and dividing by the count of those values.
- Aggregate Count: To determine the total, multiply the mean by the total number of units.
- Deduction: The student count from the Science department is to be subtracted from the aggregate to yield the total for the remaining units.

2. Provided Data:

- Mean student enrollment = 240
- Total number of academic units = 5
- Student enrollment in Science = 320

3. Computations: Aggregate and Remainder:

Aggregate student enrollment across all units = \( 240 \times 5 = 1200 \)
Student enrollment in the other four units = \( 1200 - 320 = 880 \)

Conclusion:

The student enrollment across the other four academic units totals 880.