Using and Interpreting Concepts

Finding the R...

Question

Using and Interpreting Concepts

Finding the Range of a Data Set In Exercises 9 and 10, find the range of the data set represented by the graph.

graph

Accepted Answer

Hi everyone, let's take a look at this practice problem. This problem says a frequency histogram displays the annual tuition fees at private colleges. And below the texts we're given our histogram, which has the annual tuition fee in thousands of dollars on the X-axis and frequency on the Y axis. For each class, we're actually given the class midpoint. And for the class midpoint of 30, we, it has a frequency of 2. For 35, we have a frequency of 2. For 40, we have frequency of 5, for 45, we have frequency of 7, or 50, we have a frequency of 5, or 55, we have a frequency of 11, or 60, we have a frequency of 9 or 65, we have a frequency of 7, and 470, we have frequency of 6. What is the range of the annual tuition fees represented in the histogram? And we give 4 possible choices as our answers. For choice A, approximately $35,000. For choice B, approximately $40,000. For choice C, approximately $60,000 and for choice D, approximately $70,000. Now, to answer this problem, we need to use our histogram here to determine the range of the annual tuition fees. Now, since we're only given the class midpoints, we're not able to determine the actual minimum and maximum values of our data set, which would be our actual range, but we can approximate the range by subtracting the smallest class midpoint from the largest class midpoint. So that means that our range is going to be approximately equal to or our largest class midpoint, that's going to be 70, and then we'll have minus the smallest class midpoint, which is 30. And when we do the subtraction, we get our range is going to be approximately equal to 40. And so that is $40,000 since our annual tuition fee is given in thousands of dollars. So that it's gonna be your actual range. Which is going to be $40,000. So that is the answer that we're actually looking for, for this problem. And if we compare that to our answer choices, we see that the correct answer choice actually corresponds to answer choice B. So I hope that this explanation has been useful, and I'll see you in the next video.

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Using and Interpreting Concepts

Finding the Range of a Data Set In Exercises 9 and 10, find the range of the data set represented by the graph.

Key Concepts

Range

Histogram

Frequency Distribution

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Using and Interpreting ConceptsFinding the Range of a Data Set In Exercises 9 and 10, find the range of the data set represented by the graph.