Question Video: Comparing Data in Two Histograms Mathematics

These histograms compare the heights of tall buildings in two cities. Which city has more buildings that are at least 500 but less than 600 feet tall?

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Video Transcript

These histograms compare the heights of tall buildings in two cities. Which city has more buildings that are at least 500 but less than 600 feet tall?

Before starting any question like this, it is important to look at both axes and understand what they show. The horizontal or 𝑥-axis shows the height in feet. The first bar in each histogram is the number of buildings between 400 and 500 feet. We then have the number of buildings between 500 and 600, 600 and 700, and so on. The 𝑦-axis is represented by the number of buildings or frequency. This type of graph is also sometimes called a frequency diagram.

The numbers on this axis range from zero to 10. Each block or line represents one building. In this question, we’re interested in the buildings that are between 500 and 600 feet. This is the second bar of each histogram. In city A, this corresponds to eight buildings, whereas, in city B, the second bar corresponds to five buildings. As eight is greater than five, the correct answer is city A. This city has more buildings that are at least 500 but less than 600 feet tall.

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