Question

homes connected out of 20 homes
town a
town b
note: 20 samples of 20 homes
each from 2 towns
how would you describe the overlap of the town samples?
some overlap between the means
no overlap
overlap on both sides of means
full overlap between the means

Explanation:

Step1: Understand the concept of overlap

Overlap in data sets (here comparing Town A and Town B samples) can be analyzed by looking at the spread (like IQR, MAD) and central tendency (mean, median) values.

Step2: Analyze the means

The mean of Town A is \(12.5\) and the mean of Town B is \(6.5\). The spread (IQR for both is \(3.8\)). The range of values around the mean (using a simple idea of considering a bit beyond the spread) for Town A: approximately from \(12.5 - 3.8=8.7\) to \(12.5 + 3.8 = 16.3\). For Town B: approximately from \(6.5-3.8 = 2.7\) to \(6.5 + 3.8=10.3\). There is no overlap between these two approximate ranges (based on IQR around the mean).

Answer:

no overlap