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In graphs below, "true intake over time" represent the actual value, while “Sample average” and dots represent measured data. Which of the following indicates high accuracy and low precision in the measurement process?

In graphs below, "true intake over time" represent the actual value, while “Sample average” and dots represent measured data. Which of the following indicates high accuracy and low precision in the measurement process?

Chemistry
Chemistry
10th Edition
ISBN:9781305957404
Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Chapter1: Chemical Foundations
Section: Chapter Questions
Problem 1RQ: Define and explain the differences between the following terms. a. law and theory b. theory and...
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**Understanding Accuracy and Precision in Measurement** In the graphs below, “true intake over time” represents the actual value, while “Sample average” and dots represent measured data. These visuals will help you understand the concepts of accuracy and precision in measurements. ### Graphs Description: - **Graph a.** - **True Intake Over Time** is shown as a blue dashed line. - **Sample Average** is represented by a red dotted line that aligns with the blue dashed line. - Red dots (measured data) are closely clustered around the lines, indicating both high accuracy and high precision. - **Graph b.** - **True Intake Over Time** is shown as a blue dashed line. - **Sample Average** is represented by a red dotted line. - Red dots (measured data) are spread out along the true intake line, indicating low precision but the average lies close to the true value, suggesting high accuracy. - **Graph c.** - **True Intake Over Time** is shown as a blue dashed line. - **Sample Average** is represented by a red dotted line which is below the blue dashed line. - Red dots (measured data) are closely clustered around the sample average line, indicating high precision but low accuracy. - **Graph d.** - **True Intake Over Time** is shown as a blue dashed line. - **Sample Average** is represented by a red dotted line which is below the blue dashed line. - Red dots (measured data) are widely spread around the dotted line, indicating both low accuracy and low precision. ### Question: Which of the following graphs indicates high accuracy and low precision in the measurement process? - ☐ a) - ☐ b) - ☐ c) - ☐ d) **Explanation:** In order to understand whether a measurement process is accurate or precise, look at how the measured data points relate to the true value and how much they vary: - **Accuracy** refers to how close the sample average (red dotted line) is to the true intake over time (blue dashed line). - **Precision** refers to how closely the measured data points (red dots) are clustered around each other. **Answer:** - The correct answer is **☐ b)** - Graph **b)** shows high accuracy because the sample average lies close to the true intake over time, but it shows low precision because the measured data
Transcribed Image Text:**Understanding Accuracy and Precision in Measurement** In the graphs below, “true intake over time” represents the actual value, while “Sample average” and dots represent measured data. These visuals will help you understand the concepts of accuracy and precision in measurements. ### Graphs Description: - **Graph a.** - **True Intake Over Time** is shown as a blue dashed line. - **Sample Average** is represented by a red dotted line that aligns with the blue dashed line. - Red dots (measured data) are closely clustered around the lines, indicating both high accuracy and high precision. - **Graph b.** - **True Intake Over Time** is shown as a blue dashed line. - **Sample Average** is represented by a red dotted line. - Red dots (measured data) are spread out along the true intake line, indicating low precision but the average lies close to the true value, suggesting high accuracy. - **Graph c.** - **True Intake Over Time** is shown as a blue dashed line. - **Sample Average** is represented by a red dotted line which is below the blue dashed line. - Red dots (measured data) are closely clustered around the sample average line, indicating high precision but low accuracy. - **Graph d.** - **True Intake Over Time** is shown as a blue dashed line. - **Sample Average** is represented by a red dotted line which is below the blue dashed line. - Red dots (measured data) are widely spread around the dotted line, indicating both low accuracy and low precision. ### Question: Which of the following graphs indicates high accuracy and low precision in the measurement process? - ☐ a) - ☐ b) - ☐ c) - ☐ d) **Explanation:** In order to understand whether a measurement process is accurate or precise, look at how the measured data points relate to the true value and how much they vary: - **Accuracy** refers to how close the sample average (red dotted line) is to the true intake over time (blue dashed line). - **Precision** refers to how closely the measured data points (red dots) are clustered around each other. **Answer:** - The correct answer is **☐ b)** - Graph **b)** shows high accuracy because the sample average lies close to the true intake over time, but it shows low precision because the measured data
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