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. Draw a valid inference about students who own three or more devices. Select all that apply.

Internet-Compatible Devices
Number of Devices Number of Students
1 18
2 25
3 or more 7

A.


Students are more likely to own exactly 2 devices than any other number.
B.


More students own 3 devices than own more than 3 devices.
C.


Less than half as many students own 3 or more devices as compared to students who own 1 device.
D.


About 10 more students own 1 device than own 3 or more devices.
E. None of the students own exactly 5 devices.

Answer 1

The true statements are: A, C and D

Explanation:

According to the data of the table :

• 18 Students own 1 Internet-compatible devices.
• 25 Students own 2 Internet-compatible devices.
• 7 Students own 3 or more Internet-compatible devices.

So, we will check the options according to the given data:

A. Students are more likely to own exactly 2 devices than any other number.

True ⇒ Because the number of students own exactly 2 devices is greater than the other categories.

B. More students own 3 devices than own more than 3 devices.

Wrong ⇒ Because there is no information, all we know there are 7 students own 3 or more devices.

C. Less than half as many students own 3 or more devices as compared to students who own 1 device.

True ⇒ 18 students own 1 device, the half of them is 9, and the number of students own 3 or more devices is 7 which is less than 9.

D. About 10 more students own 1 device than own 3 or more devices.

True ⇒ The difference between students own 1 device and those own 3 or more devices = 18 - 7 = 11 which is about 10 more.

E. None of the students own exactly 5 devices.

Wrong ⇒ Because there is no information about this.

The true statements are: A, C and D