Mathematics
State, which of the following variables are continuous and which are discrete :
(a) number of children in your class.
(b) distance travelled by a car.
(c) sizes of shoes.
(d) time.
(e) number of patients in a hospital.
Statistics
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Answer
(a) Discrete variable
Reason
A discrete variable is a variable which is incapable of taking all possible numerical values. In this case, the number of children is a finite, whole number.
(b) Continuous variable
Reason
Continuous variable is a variable which can take any numerical value within a certain range. The distance can be measured in infinitely small increments.
(c) Discrete variable
Reason
A discrete variable is a variable which is incapable of taking all possible numerical values. Sizes of shoes are represented by specific values.
(d) Continuous variable
Reason
Continuous variable is a variable which can take any numerical value within a certain range. Time can take on an infinite number of values within a range.
(e) Discrete variable
Reason
A discrete variable is a variable which is incapable of taking all possible numerical values. The number of patients is countable and can only be whole numbers
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