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Liliana wants to start a seventh-grade computer club at Hamden Middle School. She surveyed 20 seventh-grade students at the town park. She asked each student how many hours they spend on their computers each week. She obtained the following results:

8, 15, 0, 11, 12, 13, 16, 13, 0, 4, 17, 14, 30, 13, 5, 12, 1, 13, 12, 21

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 :

Let's find the ratio of the total number of students who used their computers to the total number of students surveyed.

1. Identify Students Using Computers:
We need to determine how many students used their computers at least one hour. Look at the data:

```
8, 15, 0, 11, 12, 13, 16, 13, 0, 4, 17, 14, 30, 13, 5, 12, 1, 13, 12, 21
```

The numbers `0` indicate students who did not use their computers. Let's count the students who used their computers (numbers greater than 0):

- Students with hours greater than 0 are: 8, 15, 11, 12, 13, 16, 13, 4, 17, 14, 30, 13, 5, 12, 1, 13, 12, 21.
- Count these values. There are 18 students who used their computers.

2. Total Number of Students Surveyed:
The total number of students surveyed is the length of the list of hours. There are 20 students.

3. Calculate the Ratio:
We need the ratio of the number of students who used their computers to the total number of students surveyed.

[tex]\[
\text{Ratio} = \frac{\text{Number of students who used computers}}{\text{Total number of students}} = \frac{18}{20}
\][/tex]

4. Simplify the Ratio:
To simplify this fraction, find the greatest common divisor (GCD) of 18 and 20, which is 2.

[tex]\[
\frac{18}{20} = \frac{18 \div 2}{20 \div 2} = \frac{9}{10}
\][/tex]

So, the ratio of the number of students who used their computers to the total number of students surveyed is [tex]\(\frac{9}{10}\)[/tex]. Hence, the correct choice is:

[tex]\[
\frac{18}{20} \text{ or } \frac{9}{10}
\][/tex]

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