Level of Measurement

1. In order to select a new design logo, a company randomly selects 150 adults ages 21 to 35. They are asked to choose the most appealing logo from three different designs.
 

I. What is the population?
 

II. What is the sample?
 

III. Is the study observational or experimental? Justify your answer. 

IV. What are the independent and dependent variables?
 

V. For each of those variables, what level of measurement was used to obtain data from these variables?

 VI. Classify those variables as either attribute or numerical.

 

2. Classify the following variable as nominal, ordinal, discrete, or continuous and state why it is such a variable:
state high school football standing 

3. Classify the following as an example of a nominal, ordinal, interval, or ratio level of measurement, and state why it represents this level: salaries of the CEOs of seven regional banks 

4. Construct a frequency distribution table to organize the following set of data:

21.5 21.6 21.2 21.5 21.6 22.0 22.0 21.1 21.4 21.4

21.8 21.5 21.6 21.3 21.8 21.9 21.9 21.1 21.5 21.3

5. Construct a grouped frequency distribution for the following 28 scores using a class width of 4:

15 32 23 31 29 26 21 15 34 25 26 33 27 17

26 12 24 19 27 30 22 30 30 24 25 35 18 24 

6. Provide a different example for each of the following types of variables from your work or home:

Quantitative – discrete

Qualitative – ordinal