1. The reported high temperatures (in degrees Fahrenheit) for selected world cities on an October day are shown below. Which measure of central tendency do you think best describes these data? 62, 72, 66, 79, 83, 61, 62, 85, 72, 64, 74, 71, 42, 38, 91, 66, 77, 90, 74, 63, 64, 68, 42
To determine the best measure of central tendency for these data, we need to consider the characteristics and distribution of the data set.
First, let's take a look at the range of temperatures. The lowest temperature is 38 degrees Fahrenheit, while the highest temperature is 91 degrees Fahrenheit. This suggests that the data set has some variability.
Next, let's examine the frequencies of the temperatures. The data set includes multiple instances of 62, 66, 72, and 74 degrees Fahrenheit, which may suggest that these temperatures are more common or "typical" for an October day in these cities.
Considering both the range and the frequencies, in this case, the best measure of central tendency would be the mode, which represents the most frequently occurring value in the data set. In this case, the temperatures of 62, 66, 72, and 74 degrees Fahrenheit occur multiple times, making them good candidates for the mode.