Graphical Analysis In Exercises 9–12, determine whether the gr...

Question

Graphical Analysis In Exercises 9–12, determine whether the graph on the number line represents a discrete random variable or a continuous random variable. Explain your reasoning.

The attendance at concerts for a rock group

Graph showing attendance at concerts marked on a number line from 40,000 to 50,000 with discrete points indicated.

Accepted Answer

Hello, everyone, let's take a look at this question together. The following graph shows the number of goals scored by a local soccer team in their last 8 matches. Determine whether the graph represents a discrete random variable or a continuous random variable. Explain your reasoning. And here we have our graph of the number of goals in the last 8 matches, where we have the match number on the X axis and the amount of goals scored on the Y axis. And we have to determine whether the graph represents a discrete random variable or a continuous random variable. Is it answer choice A? It is a continuous random variable because the graph connects the data points with a line. Answer choice B, it is a discrete random variable because the number of goals is counted in whole numbers. Answer choice C, it is a continuous random variable because the number of goals can take any value within a range, including decimals or answer choice. It is a discrete random variable because the graph shows a continuous line, which means the variable has an infinite number of possible values. So in order to solve this question, we have to recall what we have learned about the differences between a discrete random variable and a continuous random variable to determine which the graph represents. And why and so looking at our graph for the number of goals in the last 8 matches, our first step is to identify the variable which we know we are examining the number of goals scored in soccer matches and recalling what we have learned about discrete random variables versus continuous random variables. We know that a discrete random variable includes values that can be counted, like the number of goals, such as them being 012, and so on, and a continuous random variable can take any value within an interval, such as weight or height. And given that the graph represents the number of goals scored. In the last eight matches, we know that the number of goals scored in matches can only be whole numbers such as 012, and so on, as the number of goals scored in a match cannot be a fraction since you cannot have 1.5 goals. Therefore, the graph represents a discrete. Random variable, because the number of goals scored is a whole number and it is countable. And looking at our answer choices, we can identify that answer choice B is the correct answer. As answer choice B says, the graph represents a discrete random variable because the number of goals is counted in whole numbers, and all other answer choices are incorrect. I hope you found this video to be helpful. Thank you and goodbye.

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Graphical Analysis In Exercises 9–12, determine whether the graph on the number line represents a discrete random variable or a continuous random variable. Explain your reasoning.

The attendance at concerts for a rock group

Key Concepts

Discrete Random Variable

Continuous Random Variable

Graphical Representation

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Graphical Analysis In Exercises 9–12, determine whether the graph on the number line represents a discrete random variable or a continuous random variable. Explain your reasoning.The attendance at concerts for a rock group