which of the following numerical variables are continuous? which are discrete? a. number of injuries sustained in a fall b. fraction of birds in a large sample infected with avian flu virus c. number of crimes committed by a randomly sampled individual d. logarithm of body mass

Answer: a) b), c) are discrete variables and d) is continuous variable.

Explanation:

A continuous variable are those whose value is taking by measuring.

A discrete variable are those whose value is taking by counting.

So, a) Number of injuries sustained in a fall is done by counting - Discrete

b) Fraction of birds in a large sample infected with avian flue virus is done by counting - Discrete

c) Number of crimes committed by a randomly sampled individual is done by counting - Discrete

d) Logarithm of body mass is done by measuring - Continuous

Hence, a) b), c) are discrete variables and d) is continuous variable.