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A distribution of data has a maximum value of 96 , a median value of 59.5 , and a minimum of 23 . Use the range rule of thumb to estimate the standard deviation. Round results to the nearest tenth. (1 point) 14.6 36.5 18.3 9.7

Ask by Dawson Cox. in the United States
Feb 19,2025

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The estimated standard deviation is 18.3.

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To estimate the standard deviation using the range rule of thumb, you can use the formula: Standard Deviation ≈ (Max - Min) / 4. Here, Max is 96, and Min is 23, so the calculation would be (96 - 23) / 4 = 73 / 4 = 18.25. Rounding this result to the nearest tenth gives us 18.3. Now, remember that the range rule of thumb is an estimate. It simplifies calculations and gives a quick ballpark figure for the standard deviation, but actual data can often tell you more nuanced stories. Don't shy away from calculating it directly if precision is what you're after!

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