Question

Thirty-four cities provided information on vacancy rates (in percent) for local apartments in the following frequency distribution

Vacancy Rate (in percent) Frequency
0 up to 3 9
3 up to 6 6
6 up to 9 9
9 up to 12 6
12 up to 15 4

Answer 1

The frequency distribution of apartment vacancy rates gives an overview of how common certain vacancy rates are across 34 cities. The most frequent vacancy rate is between 0 to 3 percent, while other intervals show varied frequencies. Further statistical analysis could reveal more insights into the distribution of these rates.

Step-by-step explanation:

The frequency distribution you've provided is a way of summarizing data regarding vacancy rates in a group of 34 cities. This data can be analyzed to understand the distribution of vacancy rates across these cities. By examining the frequency of each interval, we can see, for example, that a vacancy rate of 0 up to 3 percent is the most common, occurring in 9 cities. Similarly, the rates from 9 up to 12 percent are observed in 6 cities, indicating a different level of apartment availability in those areas.

To further analyze this data, one might calculate the mean, median, mode, or create graphical representations such as histograms to visually represent the distribution of apartment vacancy rates. It's also possible to use the data to calculate the probability of finding an apartment with a certain vacancy rate, if the distribution is assumed to be uniformly spread among the reported intervals.