Mathematics
State, which of the following variables are continuous and which are discrete :
(i) marks scored in a test.
(i1) daily temperature of a city.
(iii) sizes of shoes.
(iv) distance covered by a train.
(v) time.
Statistics
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Answer
(i) Marks scored in a test is a discrete variable.
Reason: Marks scored in a test are countable and can only take specific values, with no values between them.
(ii) Daily temperature of a city is a continuous variable.
Reason: Temperature is measured and can take any value within a range, without gaps between possible values.
(iii) Sizes of shoes is a discrete variable.
Reason: Shoe sizes are countable and generally represented by specific numbers (e.g., 8, 8.5, 9, etc.), with no values in between.
(iv) Distance covered by a train is a continuous variable.
Reason: Distance can take any value within a range and can be measured to any degree of precision, without gaps between values.
(v) Time is a continuous variable.
Reason: Time is measured and can take any value within a range (e.g., 2.5 seconds, 2.55 seconds, etc.), and there are no distinct gaps between possible values.
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