Answer:
Explanation:
Part A: Calculate The Measure of Center Bayside: Mean 17.1 Median =16 Seaside: Mean 19.5 Median = 18 Part B: Bayside: Range 42-5= 37 IQR 22-10= 12 Seaside: Range 36-5= 31 IQR 27-11= 16 If you are interested in a smaller class size, which school is a better choice for you? Explain your reasoning
To determine which school is a better choice for you based on class size, we need to consider both the measure of center and the measure of spread.
Measure of Center:
Bayside: Mean = 17.1, Median = 16
Seaside: Mean = 19.5, Median = 18
The mean is the average of all the data points, while the median is the middle value when the data points are arranged in ascending order. Comparing the means and medians, we can see that Bayside has a lower mean and median compared to Seaside. This suggests that, on average, the class sizes at Bayside are smaller than at Seaside.
Measure of Spread:
Bayside: Range = 42-5 = 37, IQR = 22-10 = 12
Seaside: Range = 36-5 = 31, IQR = 27-11 = 16
The range is the difference between the largest and smallest values in the dataset, while the interquartile range (IQR) is the difference between the first quartile (Q1) and the third quartile (Q3). The IQR gives us an idea of the spread of the middle 50% of the data. Comparing the ranges and IQRs, we can see that Bayside has a smaller range and IQR compared to Seaside. This indicates that the class sizes at Bayside have less variability and are more consistent compared to Seaside.
Conclusion:
If you are interested in a smaller class size, Bayside would be a better choice for you. Bayside has a lower mean and median, indicating smaller average class sizes. Additionally, Bayside has a smaller range and IQR, suggesting less variability in class sizes. Overall, these measures indicate that Bayside is likely to offer a more consistently smaller class size experience compared to Seaside.