Question

1. in each study, the data collected is what level of measurement?

a) the year in todays date: select an answer
b) gender: select an answer
c) a persons age: select an answer
d) year in school; freshman, sophomore, junior and senior: select an answer
e) weight of a package: select an answer

1. are the following variables discrete or continuous?

a) the number of customers served at a bank: select an answer
b) height of an building: select an answer
c) the time it takes to finish a race: select an answer

Explanation:

1. a) The year in today's date: It is an interval - level variable as differences between years are meaningful but there is no true zero (the year 0 is arbitrary in the Gregorian calendar).

• b) Gender: It is a nominal - level variable as it classifies data into non - ordered categories (male and female).
• c) A person's age: It is a ratio - level variable as it has a true zero (age 0 represents the start of life) and ratios are meaningful (a 40 - year - old is twice as old as a 20 - year - old).
• d) Year in school (Freshman, Sophomore, Junior and Senior): It is an ordinal - level variable as the categories have a natural order.
• e) Weight of a package: It is a ratio - level variable as it has a true zero (0 weight means no mass) and ratios are meaningful (a 10 - kg package is twice as heavy as a 5 - kg package).

1. a) The number of customers served at a bank: It is a discrete variable as it can only take on whole number values (you can't serve half a customer).

• b) Height of a building: It is a continuous variable as it can take on any value within a range and can be measured with infinite precision (e.g., 10.532 meters).
• c) The time it takes to finish a race: It is a continuous variable as it can take on any value within a range and can be measured with great precision (e.g., 10.23 seconds).

Answer:

1.
a. Interval
b. Nominal
c. Ratio
d. Ordinal
e. Ratio
2.
a. Discrete
b. Continuous
c. Continuous