19. Housing in San Jose How do rented housing units differ from units occupied by their owners? Here are the distributions of the number of rooms for owner-occupied units and renter-occupied units in San Jose,
California:

Let X = the number of rooms in a randomly selected owner-occupied unit and Y = the number of rooms in a randomly chosen renter-occupied unit.
(a) Make histograms suitable for comparing the probability distributions of X and Y. Describe any differences that you observe.
(b) Find the mean number of rooms for both types of housing unit. Explain why this difference makes sense.
(c) Find the standard deviations of both X and Y. Explain why this difference makes sense.

Given in the question is a table , we have to consider $X=$the number of rooms in a randomly selected owner-occupied unit and $Y=$the number of rooms in a randomly chosen renter-occupied unit.

We need to make histograms suitable for comparing the probability distributions of $X$and $Y$.

Housing in San Joise had the following histograms:

The histogram for rented housing in San Joise is as follows:

According to the graph, the owners have more rooms than the tenants. Owned has a generally symmetric distribution, while rented has a roughly right-skewed distribution.

The owned center has about six rooms, whereas the rented facility has about four rooms. Both histograms have nearly the same spread.

Given in the question that, the distributions of the number of rooms for owner-occupied units and renter-occupied units in San Jose.

We have to find the mean number of rooms for both types of housing unit.

Let's compute the mean for house owned by using the Ti-83 calculator as follow:

Compute the mean for a rental residence using the Ti-83 calculator as follows:

Because of the different types of distributions, there is a discrepancy in the two means.

Given in the question that, the distributions of the number of rooms for owner-occupied units and renter-occupied units in San Jose,

We have to compute the value for the standard deviations of both $X$and $Y$.

To compute standard deviation, use the calculator Ti-83 as follows: