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Which week had greater variability in high temperature? Explain your reasoning.

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Final answer:

To determine which week had greater variability in high temperature, one would typically calculate the variance or standard deviation of the temperatures from each week, identifying which week had a larger spread in temperature data.

Step-by-step explanation:

The question 'Which week had greater variability in high temperature?' requires an analysis of the statistical variance or standard deviation of the temperatures from each week. We would typically do this by calculating these statistics for each data set that represents a week's high temperatures, allowing us to compare the dispersion of values. The variance is the average of the squared differences from the mean, while the standard deviation is the square root of the variance.

Unfortunately, without the specific numerical data for the weekly high temperatures, we cannot calculate the actual variance or standard deviation. However, if we had the data, the week with the higher variance or standard deviation would be the one with the greater variability in high temperature.

Example:

If Week 1 had high temperatures of 70, 72, 68, 73, and 71 degrees Fahrenheit and Week 2 had high temperatures of 65, 80, 65, 80, and 65 degrees, we would calculate the mean and the variance for each week's temperatures. Upon doing the calculations, one would likely find that Week 2 had a higher variance due to the larger spread between its temperatures, indicating a greater variability.

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