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.)
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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!