Pregunta
roblems, the terms mean and average refer to the arithmetic mean, unless otherwise stated. Simone's average score for seven tests is 82 points. If she scores 90 points on her eighth est, what is the average of all eight test scores?
Ask by Higgins Beck. in the United States
Jan 23,2025
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Simone's new average after the eighth test is 83 points.
Solución
To determine Simone's new average after her eighth test, follow these steps:
1. **Calculate the total score for the first seven tests:**
\[
\text{Total for 7 tests} = 7 \times 82 = 574 \text{ points}
\]
2. **Add the score of the eighth test:**
\[
\text{New total} = 574 + 90 = 664 \text{ points}
\]
3. **Compute the new average for all eight tests:**
\[
\text{New average} = \frac{664}{8} = 83 \text{ points}
\]
**Answer:** The average of all eight test scores is 83 points.
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Simplifique esta solución The Deep Dive
To find Simone's new average after scoring 90 on her eighth test, we first calculate the total score from her seven tests. Since the average is 82, the sum is 82 × 7 = 574. Adding her eighth test score of 90 gives a total score of 574 + 90 = 664. Then, we divide by the new total number of tests, which is 8: 664 ÷ 8 = 83. So, her new average is 83 points! To help you cement this concept, consider how averages can shift with every new data point. A single score that's significantly higher or lower than the current average can pull the average up or down. It's a great reminder that averages are "mean," but they can dance around with a bit of data change!
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