Definition of Sets

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A set is defined as a collection of objects and is often used in math to describe lists of numbers that can be compared. Consider using a Venn diagram to show and compare two sets of numbers with information from a tutor in this free video on math.

Part of the Video Series: Math Lessons
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Video Transcript

Hi my name is Samir Malik and I'm a tutor for middle-school and high-school students. Today we're going to be discussing the definition of a set. Now a set is a collection of objects. So set in mathematics could be used to describe a list of percentages from test scores, and comparing sets would be test scores for boys in a class, and test scores for girls in a class. And now you have those two sets of numbers and you want to compare and contrast them. So I'd like to illustrate an example of being able to understand these sets better, by illustrating them with a Venn diagram. So if you'd like to take a look here for a brief moment I can show you how that is illustrated. We have a Venn diagram with A, B and A would be scores of boys, B would be scores of girls. And then whatever is in the center would be what they have in common. So 72, 83, 42, 55, and 65. Then we have for girls we have 64, 37, 22, 81, and 89. And in common you can have 100. So these would be the scores of the boys, set of the scores for the girls, and what they have in common. This shows us, the Venn diagram will show us the set of numbers for boys, and the set of numbers for girls, along with what both parties have in common. So now we're able to understand the definition of set, along with an example that I have provided you for helping to understand how sets are viewed by taking a Venn diagram.


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