Question

geraldo wants to start a group bike ride on sunday mornings for students at his school. he asked 30 students in the lunchroom how many miles they ride their bikes each month. he obtained the following results.
8, 3, 0, 1, 2, 3, 6, 3, 0, 4, 13, 1, 3, 12, 15, 2, 1, 3, 2, 2, 0, 3, 4, 2, 6, 7, 12, 8, 4,
the fraction \\( \frac { x } { 30 } \\) shows the ratio of the number of students who ride their bikes more than 10 miles each month to the number of students surveyed. what is the value of x?

Explanation:

Step1: Count the number of students who ride more than 10 miles

We go through the data set \(8, 3, 0, 1, 2, 3, 6, 3, 0, 4, 13, 1, 3, 12, 15, 2, 1, 3, 2, 2, 0, 3, 4, 2, 6, 7, 12, 8, 4\).
The values more than 10 are \(13,12,15,12\).

Step2: Calculate the value of \(x\)

Since the fraction \(\frac{x}{30}\) represents the ratio of the number of students who ride more than 10 miles to the total number of students surveyed (\(n = 30\)). And we found 4 values more than 10. So \(x\) is the number of students who ride more than 10 miles.

Answer:

\(4\)