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.
c. The number of albums sold by the Monkees band

c. The number of albums sold by the Monkees band

Accepted Answer

Hello everyone. Let's take a look at this question together. And we are presented with a statement which says the total number of concert tickets sold by a famous singer, and we have to classify the nature of the above mentioned data using one of the following descriptions. Is it answer choice A, continuous because the number of possible values is unlimited and cannot be counted individually? Answer choice B, discrete because the number of possible values is infinite but still countable. Answer choice C, discrete because of the finite number of possible values or answer choice D, none of the above. So in order to solve this question. We have to recall what we have learned about understanding discrete versus continuous data, which we know that we can have discrete data that is finite, meaning it is a countable set with a limited number of values, such as the number of students in a class. As well as discrete data that is infinite but countable, meaning we have a countable set with an infinite number of values, such as the number of times a song is streamed, and lastly, we know we can have continuous data, which is a set with infinitely many values that cannot be counted individually, such as temperature, distance, or weight. So looking at the data that is provided to us, which says the total number of concert tickets sold by a famous singer, we want to know, is it discrete but finite, discrete but infinite, or continuous? Well, we know that the total number of concert tickets that can be sold by a famous singer. is a countable whole number as tickets cannot be sold in a fraction amount. So the amount of tickets sold by a famous singer could be 5000, 50,000, 500,000, but it must be a countable whole number. Therefore, the correct classification of the above-mentioned data. I answer choice C, which says discrete because of the finite number of possible values. As the number of possible values for the total number of concert tickets sold by a famous singer is finite. So answer choice C is the only correct answer choice. I hope you found this video to be helpful. Thank you and goodbye.

Key Concepts

Discrete Data

Continuous Data

Countable Infinity

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