Countable For each of the following, categorize the nature of ...

Question

Countable For each of the following, categorize the nature of the data using one of these three descriptions: (1) discrete because the number of possible values is finite; (2) discrete because the number of possible values is infinite but countable; (3) continuous because the number of possible values is infinite and not countable.
a. Exact lengths of the feet of members of the band the Monkees

a. Exact lengths of the feet of members of the band the Monkees

Accepted Answer

All right, hello, everyone. So this question says, quote, precise heights of athletes on a professional soccer team, end quote. Classify the nature of the above-mentioned data using one of the following descriptions. Option A says continuous because the number of possible values is unlimited and cannot be counted individually. Option B says discrete because the number of possible values is infinite but still countable. Option C discrete because there are only a limited number of possible values or option D, none of the above. All right, so first, what is the difference between continuous and discrete data? Well, the difference, if you recall, lies in whether or not that value can be counted. So discrete data is countable. Whereas continuous data. Can take infinitely many values. So we can further classify discrete data as finite. Or infinite but countable. And so the difference here is that discrete data that's finite has a fixed number of values associated with it. So an example of this would be the number of players on a given sports team. Infinite data on the other hand, that's still considered discrete. Is accountable number or accountable set of data with an infinite number of possible values. So the number of possible values is not limited in the way that it is for finite discrete data. An example of infinite but countable data would be the number of attempts made before scoring a goal. So going back to the example given, here we're dealing with the precise heights of athletes on a soccer team. Now height, such as, as is the case with weight, for example, can take any value within a given range, including decimals. So therefore, you can't say that height is countable because it can take on infinitely many variations. Here, height is measured on a continuous scale. Meaning that the correct classification is continuous, meaning option A is the right choice here. And there you have it. So with that being said, thank you so very much for watching and I hope you found this helpful.

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Key Concepts

Discrete Data

Continuous Data

Countability

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