Identify the following quantitative variables as discrete or continuous.
(a) population in a particular area of Canada:discrete or continuous
(b) weight of newspapers recovered for recycling on a single day: discrete or continuous
(c) time to complete a sociology exam: discrete or continuous
(d) number of consumers in a poll of 1000 who consider nutritional labelling on food products to be important: discrete or continuous

a) Discrete

b) Continuous

c) Continuous

d) Discrete

Step-by-step explanation:

A measure is discrete if it only accept integer numbers. For example, 0, 1, 2, 3, ...

If it accepts real numbers, for example, 0.5, 1.5, it is continuos.

So let's analyze each option:

(a) population in a particular area of Canada:

Population is a discrete number. For example, you cannot have a population of 10.5.You can only have 1,2,3,100,...

So this is discrete

(b) weight of newspapers recovered for recycling on a single day:

The weight can be a decimal number, for example, 10.5kg, 10.7kg, etc...

So this is continuous

(c) time to complete a sociology exam:

Time can be a decimal number, for example, 10.5s

So this is continuous

(d) number of consumers in a poll of 1000 who consider nutritional labelling on food products to be important:

Same logic as a), number of people is discrete.

So this is discrete.

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