College

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 and obtained the following results:

[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]\(\frac{8}{1}\)[/tex]

Answer :

To find the ratio of the total number of students who used their computers to the total number of students surveyed, let's break it down step by step:

1. Understand the Information Given:
- Liliana surveyed 20 seventh-grade students.
- She recorded the number of hours each student spends on their computer.

2. Review Collected Data:
- The hours recorded for each student are: 8, 15, 0, 11, 12, 13, 16, 13, 0, 4, 17, 14, 30, 13, 5, 12, 1, 13, 12, and 21.

3. Identify Students Using Computers:
- Look for the number of students who used their computers, which means more than 0 hours were recorded.
- From the data, the students who used their computers have hours greater than 0.

4. Count Students Who Used Computers:
- Go through the list and count how many entries are greater than 0.
- There are 18 students who spend more than 0 hours on their computers.

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

6. Simplify the Ratio:
- Simplify [tex]\( \frac{18}{20} \)[/tex] by dividing both the numerator and the denominator by their greatest common divisor, which is 2.
- [tex]\( \frac{18}{20} = \frac{9}{10} \)[/tex].

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