Question

Suppose a researcher compiled a data set consisting of the following variables for a sample of 50 retired men. For each variable, select whether it is discrete or continuous.

a. The number of countries ever visited
b. Pounds of chocolate consumed in the past year
c. Shoe size
d. Height in inches
e. The number of pets currently living in the household

Answer 1

a. The number of countries ever visited). DISCRETE

b. Pounds of chocolate consumed in the past YEAR - CONTINOUS

c. Shoe SIZE - DISCRETE

d. Height in INCHES - CONTINOUS

e. The number of pets currently living in the HOUSEHOLD - DISCRETE

Explanation:

Discrete variables differ from continuous variables in that they have a finite Number of possible values which can be obtained by counting. However, continuous variables are usually obtained by taking measurement.

Hence, for the variables below :

a. The number of countries ever visited - This is a discrete variable as the number of countries ever visited is countable and obtained by counting.

b. Pounds of chocolate consumed in the past year is a continuous variable. This requires taking the measurement of chocolate in pounds.

c. Shoe size discrete variable as it is finite and countable.

d. Height in inches. The height of objects vary greatly and requures measurement in feets, meters, e.t.c. Hence, it is continuous

e. The number of pets currently living in the household = Discrete variable as it can be obtained through counting