Four research teams measured the density of a new alloy, and what each team wrote in its team notebook is shown in the table below. 3 Suppose a later and more reliable measurement gives 3.1 g/cm³ for the density of the same alloy. Decide which of the earlier measurements was the most accurate, and which was the most precise. team A B с D what was written in the notebook "2.1g/cm³" "between 3.6g/cm³ and 4.6g/cm³" "2.9g/cm³ ±1.0g/cm³" "1.1g/cm³ ±20.%" most precise most accurate measurement measurement O X

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### Measurement Accuracy and Precision: Understanding Density Measurements

Four research teams measured the density of a new alloy, and the results recorded in their notebooks are shown in the table below.

Suppose a later and more reliable measurement gives a density of \(3.1 \text{ g/cm}^3\) for the same alloy. Your task is to determine which of the earlier measurements is the most accurate and which one is the most precise.

| Team | What was written in the notebook                            | Most accurate measurement | Most precise measurement |
|------|-------------------------------------------------------------|---------------------------|--------------------------|
| A    | "2.1 g/cm\(^3\)"                                            |                           |                          |
| B    | "between 3.6 g/cm\(^3\) and 4.6 g/cm\(^3\)"                 |                           |                          |
| C    | "2.9 g/cm\(^3\) ± 1.0 g/cm\(^3\)"                           |                           |                          |
| D    | "1.1 g/cm\(^3\) ± 20.%"                                     |                           |                          |

#### Definitions:
- **Accuracy:** How close a measured value is to the actual (true) value.
- **Precision:** How close the measured values are to each other.

Use this information to analyze and determine the most accurate and the most precise measurement from the teams' results.

**Note:** Select your choices carefully based on the definitions of accuracy and precision.
Transcribed Image Text:### Measurement Accuracy and Precision: Understanding Density Measurements Four research teams measured the density of a new alloy, and the results recorded in their notebooks are shown in the table below. Suppose a later and more reliable measurement gives a density of \(3.1 \text{ g/cm}^3\) for the same alloy. Your task is to determine which of the earlier measurements is the most accurate and which one is the most precise. | Team | What was written in the notebook | Most accurate measurement | Most precise measurement | |------|-------------------------------------------------------------|---------------------------|--------------------------| | A | "2.1 g/cm\(^3\)" | | | | B | "between 3.6 g/cm\(^3\) and 4.6 g/cm\(^3\)" | | | | C | "2.9 g/cm\(^3\) ± 1.0 g/cm\(^3\)" | | | | D | "1.1 g/cm\(^3\) ± 20.%" | | | #### Definitions: - **Accuracy:** How close a measured value is to the actual (true) value. - **Precision:** How close the measured values are to each other. Use this information to analyze and determine the most accurate and the most precise measurement from the teams' results. **Note:** Select your choices carefully based on the definitions of accuracy and precision.
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