Question

brianna surveyed a representative sample of students at her school to collect data about the numbers of internet - compatible devices they own. use the data in the table. select all the valid inferences.
internet - compatible devices

number of devices	number of students
2	25
3 or more	7

• students are more likely to own exactly 2 devices than any other number.
• more students own 3 devices than own more than 3 devices.
• less than half as many students own 3 or more devices as compared to students who own 1 device.
• 10 more students own 1 device than own 3 or more devices.
• none of the students own exactly 5 devices.

Explanation:

1. For "Students are more likely to own exactly 2 devices than any other number": The number of students with 2 devices (25) is more than those with 1 device (18) and 3 or more (7). So this is valid.
2. For "More students own 3 devices than own more than 3 devices": The table groups "3 or more" together, so we can't tell how many own exactly 3 vs more than 3. This is invalid.
3. For "Less than half as many students own 3 or more devices as compared to students who own 1 device": Half of 18 is 9, and 7 (students with 3 or more) is less than 9. So this is valid.
4. For "10 more students own 1 device than own 3 or more devices": 18 - 7 = 11, not 10. This is invalid.
5. For "None of the students own exactly 5 devices": The "3 or more" category includes 5, but we don't know the exact number for 5. So we can't infer this. This is invalid.

Answer:

• Students are more likely to own exactly 2 devices than any other number.
• Less than half as many students own 3 or more devices as compared to students who own 1 device.