What is the mean? If the answer is a decimal, round it to the nearest tenth. \( \begin{array}{lllllllll}8,237 & 8,232 & 8,251 & 8,230 & 8,233 & 8,222 & 8,244 & 8,234 & 8,252\end{array} 8,249 \quad 8,234 \)
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To find the mean, first, add all the numbers together: \( 8,237 + 8,232 + 8,251 + 8,230 + 8,233 + 8,222 + 8,244 + 8,234 + 8,252 + 8,249 + 8,234 = 90,874 \). Next, divide the sum by the total number of values (11): Mean = \( \frac{90,874}{11} \approx 8,261.3 \). Rounded to the nearest tenth, the mean is 8,261.3. Calculating the mean is a great way to summarize data and see the "average" value. Whether you’re analyzing test scores, sales figures, or even heights, the mean gives you a snapshot of what is typical in your dataset. Just remember, it's sensitive to outliers; a single extraordinarily high or low number can skew your average! When computing the mean, one common mistake is forgetting to count all the values correctly. It’s crucial to ensure you include every number in your sum before dividing. Also, rounding should happen as the final step to avoid any inaccuracies—you want to keep those decimals straight until the very end!