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Question 3 of 25 An online weather report says the temperature is between \( 40^{\circ} \) and \( 50^{\circ} \), when it is really \( 54,4^{\circ} \) outside. Which of the following is true? A. The weather report is accurate, but not precise, B. The weather report is both accurate and precise, C. The weather report is precise, but not accurate, D. The weather report is neither accurate nor precise,

Ask by Chen Chan. in the United States
Feb 04,2025

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Answer

The weather report is precise but not accurate.

Solution

To determine whether the weather report is **accurate**, **precise**, both, or neither, let's define the terms: - **Accuracy** refers to how close a reported value is to the true value. - **Precision** refers to the consistency or specificity of the reported values. Given: - **True temperature:** \(54.4^{\circ}\) - **Weather report:** Between \(40^{\circ}\) and \(50^{\circ}\) **Analysis:** 1. **Accuracy:** - The true temperature (\(54.4^{\circ}\)) is **outside** the reported range (\(40^{\circ}\) to \(50^{\circ}\)). - **Conclusion:** The report is **not accurate**. 2. **Precision:** - The report provides a specific range (\(40^{\circ}\) to \(50^{\circ}\)), indicating a certain level of detail. - Even though the range is broad, it consistently provides this specific interval. - **Conclusion:** The report is **precise** in its range specification. **Final Determination:** - The weather report is **precise** but **not accurate**. **Answer:** C. The weather report is precise, but not accurate.

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In this scenario, accuracy refers to how close a reported value is to the actual value, while precision relates to the consistency of multiple measurements. Since the temperature reported (between \( 40^{\circ} \) and \( 50^{\circ} \)) does not include the actual temperature of \( 54.4^{\circ} \), it is not accurate. Furthermore, providing a range rather than a specific temperature shows a lack of precision. Therefore, the correct answer is D: The weather report is neither accurate nor precise. Weather reporting has come a long way since the days of guessing based on animal behaviors or basic barometers! Modern meteorology relies on sophisticated satellites and computer models to predict conditions. Nevertheless, human error and the unpredictability of nature can still lead to inaccuracies—just another reason to keep an eye on the skies!

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