Pregunta
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Part (c) If you were to build a new community college, which piece of information would be more valuable: the mode or the mean? A the mode B the mean Part (d) Calculate the sample mean. (Round your answer to one decimal place.) \( \bar{x} \approx \) Enter your answer Part (e) Calculate the sample standard deviation. (Round your answer to one decimal place.) s Enter your answer 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.)

Ask by Adkins Moreno. in the United States
Jan 25,2025

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**Part (c):** **B) the mean** is more valuable for building a new community college because it provides a comprehensive average that helps in planning resources and facilities. **Parts (d), (e), and (f):** Please provide the necessary data to calculate the sample mean, standard deviation, and the number of standard deviations for an enrollment of 9,000.

Solución

### Part (c) **Question:** If you were to build a new community college, which piece of information would be more valuable: the mode or the mean? - **A)** the mode - **B)** the mean **Answer:** **B) the mean** **Explanation:** When planning to build a new community college, the **mean** (average) provides a more comprehensive understanding of the data, such as average enrollment numbers, average population in the target area, or average income levels. This average information helps in making informed decisions about resource allocation, facility size, staffing needs, and program offerings to meet the overall demand. On the other hand, the **mode** represents the most frequently occurring value in a dataset. While it can be useful in specific contexts (e.g., identifying the most common program desired by students), it doesn't provide as complete a picture as the mean, especially when the data distribution is skewed or has multiple modes. ### Parts (d), (e), and (f) To assist you with calculating the sample mean, sample standard deviation, and determining how many standard deviations away a particular enrollment number is from the mean, I would need the actual dataset or the summary statistics (such as individual data points or relevant summary data). Please provide the necessary data, and I'll be happy to help with these calculations!

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Bonus Knowledge

Understanding the difference between the mode and the mean is crucial for making informed decisions when building a community college. The mode, which represents the most frequently occurring value, can be particularly useful when assessing the most common needs or interests of potential students. This might include popular course offerings or desired facilities. On the other hand, the mean provides a general sense of the average, which is helpful for understanding overall enrollment trends. Depending on the context, one may be more valuable than the other! To calculate the sample mean, you'll sum all the data points and divide by the total number. For example, if your enrollment figures are 8000, 8500, 9000, and 9500, you would add these (8000 + 8500 + 9000 + 9500 = 35000) and then divide by 4 to find the mean, which is 8750. For the sample standard deviation, you’d find the variance first by computing the differences from the mean, squaring those differences, averaging them, and then taking the square root of that average. Happy calculating!

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