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9. The American Housing Survey is done every year by the Bureau of the Census. D

ID: 3355535 • Letter: 9

Question

9. The American Housing Survey is done every year by the Bureau of the Census. Data from the 2003 survey can be used to find the distribu- tion of occupied housing units (this includes apartments) by number of rooms. Results for the whole U.S. are shown below, separately for "owner- occupied" and "renter-occupied" units. Draw a histogram for each of the two distributions. (You may assume "10 or more" means 10 or 11; very few units have more than 11 rooms.) (a) The owner-occupied percents add up to 100.2% while the renter- occupied percents add up to 100.0%. Why? (b) The percentage of one-room units is much smaller for owner-occupied housing. Is that because there are so many more owner-occupied units in total? Answer yes or no, and explain briefly c) Which are larger, on the whole: the owner-occupied units or the renter-occupied units? Renter-occupied (percent) 1.0 2.8 22.7 34.5 22.6 10.4 3.6 1.2 0.5 0.7 100.0 33.6 million Owner-occupied (percent) 0.0 Number of rooms in unit 1.4 9.7 23.3 26.4 17.5 10.4 5.0 6.4 100.2 72.2 million 6 10 or more Total Number

Explanation / Answer

Answer:

a).

The percentages adds up to 100.2 because rounding up of two percentage points in the owner occupied.

b).

Yes, this is because number of owner occupied one room units are much smaller than the total number of units. There fore the result is less than one decimal value.

c).

Owner occupied units are larger because percentages of 5,6,7,8,9 and 10 and above rooms for owner occupied are larger than renter occupied percentages.