Question

daily temperatures for two cities, salem and oxford, were recorded for one week. using statistics, answer the question: which city had the highest variability in temperatures?

Explanation:

Step1: Calculate the range for Salem

The range is calculated as \( \text{Range}=\text{Max}-\text{Min} \).
For Salem, the temperatures are \( 56,61,55,62,58,61,60 \).
The maximum value \( \text{Max}_{Salem}=62 \), the minimum value \( \text{Min}_{Salem}=55 \).
So, \( \text{Range}_{Salem}=62 - 55=7 \).

Step2: Calculate the range for Oxford

For Oxford, the temperatures are \( 71,52,58,50,89,60,61 \).
The maximum value \( \text{Max}_{Oxford}=89 \), the minimum value \( \text{Min}_{Oxford}=50 \).
So, \( \text{Range}_{Oxford}=89 - 50 = 39 \).

Since the range is a measure of variability (a larger range indicates more variability), and \( 39>7 \).

Answer:

Oxford.