Question

rachel asked 10 students how many courses they have taken so far at her college. here is the list of answers.
6, 21, 4, 15, 12, 19, 15, 2, 9, 13
what is the percentage of these students who have taken fewer than 6 courses?

Explanation:

Step1: Count the number of students who took fewer than 6 courses

The data set is \(6,21,4,15,12,19,15,2,9,13\). The numbers fewer than 6 are \(4\) and \(2\). So there are \(2\) students.

Step2: Calculate the percentage

The formula for percentage is \(\text{Percentage}=\frac{\text{Number of favorable cases}}{\text{Total number of cases}}\times100\). Here, the number of favorable cases (students with fewer than 6 courses) is \(n = 2\), and the total number of cases (total students) is \(N=10\).

$$ \text{Percentage}=\frac{2}{10}\times 100 $$

$$ \text{Percentage}=20 $$

Answer:

\(20\)