College

Liliana wants to start a seventh-grade computer club at Hamden Middle School. She surveyed 20 seventh-grade students at the town park, asking each how many hours they spend on their computers each week. The results were as follows:

[tex]\[ 8, 15, 0, 11, 12, 13, 16, 13, 0, 4, 17, 14, 30, 13, 5, 12, 1, 13, 12, 21 \][/tex]

What is the ratio of the total number of students who used their computers to the total number of students surveyed?

A. [tex]\(\frac{2}{20}\)[/tex] or [tex]\(\frac{1}{10}\)[/tex]
B. [tex]\(\frac{2}{18}\)[/tex] or [tex]\(\frac{1}{9}\)[/tex]
C. [tex]\(\frac{18}{20}\)[/tex] or [tex]\(\frac{9}{10}\)[/tex]
D. [tex]\(\frac{18}{2}\)[/tex] or [tex]\(\frac{9}{1}\)[/tex]

Answer :

To solve this problem, we need to determine the ratio of the number of students who used their computers to the total number of students surveyed.

### Step-by-step Solution:

1. Understand the Data:
We have a list of the number of hours 20 seventh-grade students spend on their computers each week. The data is:
[tex]\[8, 15, 0, 11, 12, 13, 16, 13, 0, 4, 17, 14, 30, 13, 5, 12, 1, 13, 12, 21\][/tex]

2. Identify Students Who Use Computers:
We want to count how many students actually use their computers, which means counting the students whose hours are greater than 0.

3. Count Students Using Computers:
- Go through each number in the list.
- Count every number that is greater than 0.
- From the data, the numbers greater than 0 correspond to 18 students.

4. Determine Total Students Surveyed:
- The total number of students surveyed is the total number of data points, which is 20.

5. Calculate the Ratio:
- The ratio of the number of students who used their computers to the total number of students is [tex]\( \frac{18}{20} \)[/tex].

6. Simplify the Ratio (if possible):
- The fraction [tex]\( \frac{18}{20} \)[/tex] can be simplified by dividing both the numerator and the denominator by their greatest common divisor, which is 2.
- The simplified form of [tex]\( \frac{18}{20} \)[/tex] is [tex]\( \frac{9}{10} \)[/tex].

Thus, the ratio of the number of students who used their computers to the total number of students surveyed is [tex]\( \frac{18}{20} \)[/tex] or [tex]\( \frac{9}{10} \)[/tex].