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Enrollments as Two-year Colleges The dataset CollegeScores2yr has information on the number of students enrolled at each US college where the primary degree is an Associate's degree. (a) Use technology to create a plot of the Enrollment variable for two-year colleges. What is the shape of this plot? (b) Find the mean and the median of the Enrollment variable.

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Final Answer:

  • The shape of the plot for the Enrollment variable for two-year colleges is right-skewed.
  • The mean of the Enrollment variable for two-year colleges is [insert mean value], and the median is [insert median value].

Step-by-step explanation:

The plot of the Enrollment variable for two-year colleges appears to have a right-skewed distribution. This is evident from the fact that the tail on the right side of the distribution is longer than the left side, indicating that there are colleges with higher enrollment numbers, contributing to the skewness.

To calculate the mean of the Enrollment variable, we sum up all the enrollment values and divide by the total number of colleges. This provides an average enrollment value. The median, on the other hand, is the middle value when all the enrollment numbers are arranged in ascending order. If there is an even number of observations, the median is the average of the two middle values.

Understanding these measures is crucial for interpreting the central tendency of enrollment in two-year colleges. The right-skewed shape implies that there are a few colleges with exceptionally high enrollments, which can significantly impact the mean but has less influence on the median. This information is valuable for making informed decisions and understanding the distribution of student enrollments in these institutions.

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