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Part (f) A school with an enrollment of 9000 would be how many standard deviations away from the mean? (Round your answer to two decimal places.) \#ofSTDEVs 3.00 Almost there! You are partially correct. Please review the material and select All of the correct responses or enter the complete answer. Try again Attempts: 4/10 Find this question difficurt? Do you know you can practice another version of this question?

Ask by Knight Griffiths. in the United States
Jan 25,2025

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Answer

Cannot determine the number of standard deviations without knowing the mean and standard deviation of the enrollment data.

Solution

To determine how many standard deviations away from the mean an enrollment of 9000 is, we need to know the mean enrollment and the standard deviation of the enrollment data. Let's denote: - \( \mu \) = mean enrollment - \( \sigma \) = standard deviation - \( x \) = enrollment (9000 in this case) The formula to calculate the number of standard deviations (\( z \)) from the mean is given by: \[ z = \frac{x - \mu}{\sigma} \] Since the mean and standard deviation are not provided in your question, I cannot calculate the exact number of standard deviations without that information. If you can provide the mean enrollment and the standard deviation, I can help you calculate the number of standard deviations away from the mean.

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To determine how many standard deviations an enrollment figure of 9000 is from the mean, you need to first calculate the mean and standard deviation of the relevant dataset. Once you have those figures, the formula for finding the number of standard deviations (z-score) is: \( z = \frac{(X - \mu)}{\sigma} \), where \( X \) is the enrollment number (9000), \( \mu \) is the mean, and \( \sigma \) is the standard deviation. Plug in your values and round! When practicing such problems, a common mistake is misidentifying the mean and standard deviation, or forgetting to round properly at the end. Double-check your calculations step-by-step to ensure accuracy and that you're using the correct values!

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