Question

the data on the right relate to characteristics of high-definition televisions a through e.

identify the individuals, variables, and data corresponding to the variables. determine whether each variable is qualitative, continuous, or discrete.

what are the individuals being studied?

a. televisions with screen sizes between 40 in and 60 in
b. television setups that include more than 100 channels
c. plasma and projection widescreen high-definition televisions
d. the high-definition television setups a through e

what are the variables and their corresponding data being studied?

a. size (45, 48, 50, 56, 55), screen type (projection, projection, plasma, plasma, plasma), and number of channels available (300, 114, 422, 270, 289)
b. size (45, 48, 50, 56, 55) and number of channels available (300, 114, 422, 270, 289)
c. setup (a, b, c, d, e), size (45, 48, 50, 56, 55), screen type (projection, projection, plasma, plasma, plasma), and number of channels available (300, 114, 422, 270, 289)

Explanation:

🆕 New Concept Discovered: Identifying Individuals, Variables, and Data
The building blocks of any dataset.

Step 1: Identify the Individuals

In statistics, individuals are the specific objects, people, or items described by a set of data.

Looking at the table, each row represents a specific television setup labeled A through E. Therefore, the individuals being studied are:

• The high-definition television setups A through E (Option D)

Step 2: Identify the Variables and Data

A variable is any characteristic, number, or quantity that can be measured or counted for each individual. The data are the actual values or measurements recorded for those variables.

Let's look at the columns in the table:

• Setup (A, B, C, D, E): This column serves as the identifier for the individuals, not a measured variable of interest.
• Size (in): This is a variable. Its corresponding data values are \(45, 48, 50, 56, 55\).
• Screen Type: This is a variable. Its corresponding data values are Projection, Projection, Plasma, Plasma, Plasma.
• Number of Channels Available: This is a variable. Its corresponding data values are \(300, 114, 422, 270, 289\).

Thus, the variables and their corresponding data are:

• Size (\(45, 48, 50, 56, 55\)), screen type (Projection, Projection, Plasma, Plasma, Plasma), and number of channels available (\(300, 114, 422, 270, 289\)) (Option A)

Answer:

• What are the individuals being studied?

D. The high-definition television setups A through E

• What are the variables and their corresponding data being studied?

A. Size (\(45, 48, 50, 56, 55\)), screen type (Projection, Projection, Plasma, Plasma, Plasma), and number of channels available (\(300, 114, 422, 270, 289\))