Question

The histograms display the frequency of temperatures in two different locations in a 30-day period.

A graph with the x-axis labeled Temperature in Degrees, with intervals 60 to 69, 70 to 79, 80 to 89, 90 to 99, 100 to 109, 110 to 119. The y-axis is labeled Frequency and begins at 0 with tick marks every one unit up to 14. A shaded bar stops at 2 above 60 to 69, at 4 above 70 to 79, at 12 above 80 to 89, at 6 above 90 to 99, at 4 above 100 to 109, and at 2 above 110 to 119. The graph is titled Temps in Desert Landing.

A graph with the x-axis labeled Temperature in Degrees, with intervals 60 to 69, 70 to 79, 80 to 89, 90 to 99, 100 to 109, 110 to 119. The y-axis is labeled Frequency and begins at 0 with tick marks every one unit up to 16. A shaded bar stops at 2 above 60 to 69, at 4 above 70 to 79, at 9 above 80 to 89, at 9 above 90 to 99, at 4 above 100 to 109, and at 2 above 110 to 119. The graph is titled Temps in Flower Town.

When comparing the data, which measure of center should be used to determine which location typically has the cooler temperature?

Mean, because Flower Town is symmetric
Mean, because Flower Town is skewed
Median, because Desert Landing is skewed
Median, because Desert Landing is symmetric

Answer 1

I don’t think to much information sorry

Answer 2

When comparing the data from the two locations, we should use the median as the measure of center to determine which location typically has the cooler temperature.

The reason is that the histograms for both locations appear to be skewed, with the data skewed to the right (i.e., towards higher temperatures). In such cases, the median is a more appropriate measure of central tendency than the mean, because the mean is sensitive to the influence of extreme values and may not accurately represent the "typical" temperature.

Looking at the two histograms, we can see that the frequency of temperatures in Desert Landing is generally higher than that in Flower Town, particularly at the higher temperature ranges. However, to determine which location typically has the cooler temperature, we need to compare the medians.

For Desert Landing, the median appears to be somewhere between 90 and 99 degrees Fahrenheit, since that's where the highest frequency of temperatures is observed. For Flower Town, the median appears to be around 85 to 89 degrees Fahrenheit, since that's where the highest frequency of temperatures is observed.

Therefore, we can conclude that Flower Town typically has the cooler temperature, based on the median temperature range of 85 to 89 degrees Fahrenheit.