Question

multiple choice (8 points each). circle your answer. no work is necessary.

1. determine which of the four levels of measurement is most appropriate given the following situation:

the subjects in which college students major.
a) interval
b) nominal
c) ratio
d) ordinal

1. determine which branch of statistics was used to make the following statement:

in 2026, the world population is predicted to be 8.6 billion people.
a) descriptive statistics
b) inferential statistics
c) time series statistics
d) differential statistics

1. determine which of the following describes qualitative data.

i) the volume of a shipping container, in gallons
ii) the name of the material from which the container is made
iii) the shape of the container
a) i, ii, and iii
b) i and iii only
c) ii and iii only
d) i and ii only

1. what type of sampling is being employed if the country is divided into economic classes and a sample is chosen from each class to be surveyed?

a) cluster sampling
b) random sampling
c) stratified sampling
d) systematic sampling

1. state the reason why the following frequency distribution is incorrectly constructed.

class	frequency
54–59	9
60–65	0
66–72	6
67–78	4
73–78	3

a) a class has been omitted
b) class width is not uniform
c) there is no percent column
d) class limits overlap

1. the following distribution is not a probability distribution because

x	-2	-1	0	1	2

a) the probability values are not increasing.
b) the values of the variable are negative.
c) the probability values do not add to 1.
d) the probability values are not discrete

Explanation:

Question 1

The levels of measurement: Nominal is for categorizing without order (like college majors). Interval has order and equal intervals, Ratio has a true zero, Ordinal has order but unequal intervals. College majors are just categories, so Nominal (B).

Descriptive stats summarize data, Inferential stats make predictions/generalizations. Predicting world population is inferential (B), as it's a prediction about a population using data.

Qualitative data is non - numerical (descriptive). i) volume (numerical - quantitative), ii) name of material (qualitative), iii) shape (qualitative). So ii and iii (B).

Answer:

B. Nominal

Question 2