Questions: Rachel asked 12 students how many courses they have taken so far at her college. Here 16,7,21,14,9,11,22,19,17,12,5,25 What is the percentage of these students who have taken fewer than 11 courses?

Solution Steps

To determine the percentage of students who have taken fewer than 11 courses, we need to:

1. Count the number of students who have taken fewer than 11 courses.
2. Divide this count by the total number of students.
3. Multiply the result by 100 to get the percentage.

We need to count the number of students who have taken fewer than 11 courses. From the given data: \[ \{16, 7, 21, 14, 9, 11, 22, 19, 17, 12, 5, 25\} \] The students who have taken fewer than 11 courses are: \[ \{7, 9, 5\} \] Thus, the count is: \[ \text{count\_fewer\_than\_11} = 3 \]

The total number of students surveyed is: \[ \text{total\_students} = 12 \]

To find the percentage of students who have taken fewer than 11 courses, we use the formula: \[ \text{percentage\_fewer\_than\_11} = \left( \frac{\text{count\_fewer\_than\_11}}{\text{total\_students}} \right) \times 100 \] Substituting the values: \[ \text{percentage\_fewer\_than\_11} = \left( \frac{3}{12} \right) \times 100 = 25.00\% \]

Final Answer