Analysis of College Q Student Data (2016-2021)

The question asks us to find the approximate percentage of students who left College Q compared to the total number of students admitted to College Q over the years 2016 to 2021.

To solve this, we need to extract the relevant data for College Q from the provided table for the specified years and then perform the required calculation.

Extracting Student Data for College Q (2016-2021)

We will list the number of students admitted (A) and left (L) for College Q for each year from 2016 to 2021 based on the table.

Calculating Total Admissions and Total Students Leaving for College Q

Next, we sum up the number of students admitted and the number of students who left College Q over the period from 2016 to 2021.

• Total Students Admitted to College Q (2016-2021):
  $2400 + 840 + 800 + 720 + 680 + 820 = 6260$
• Total Students Left from College Q (2016-2021):
  $0 + 460 + 500 + 450 + 480 + 560 = 2450$

Calculating the Percentage of Students Leaving

Now, we calculate the percentage of students leaving relative to the number of students admitted in College Q from 2016 to 2021. The formula for the percentage is:

$\text{Percentage} = \left( \frac{\text{Total Students Leaving}}{\text{Total Students Admitted}} \right) \times 100$

Substituting the calculated total values:

$\text{Percentage} = \left( \frac{2450}{6260} \right) \times 100$

$\text{Percentage} \approx 0.39137 \times 100$

$\text{Percentage} \approx 39.137\%$

Approximation and Final Answer

The calculated percentage of students leaving is approximately $39.137\%$. We need to find the closest option among the given choices:

• Option 1: $37\%$
• Option 2: $43\%$
• Option 3: $39\%$
• Option 4: $41\%$

The value $39.137\%$ is approximately equal to $39\%$.

Revision Table: College Student Data Analysis

Additional Information: Data Interpretation Tips

• Always read the question carefully to understand exactly what is being asked (e.g., total over years, specific year, specific college).
• Identify the correct data points from the table based on the college and years specified.
• Pay attention to whether the question asks for absolute numbers, percentages, ratios, averages, etc.
• For percentage calculations, ensure you use the correct base value (the denominator). In this case, it's the total number of students admitted.
• When asked for an approximation, calculate the exact value first and then choose the closest option.
• Ensure correct summation when dealing with data spread across multiple years or categories.