Question

The following histogram shows the percentage of residential properties in negative equity ornear negative equity for 82 states of a certain country for which data were available in July2012Complete parts (a) through (c) below.35302518105Percentage(a) Describe the shape of the distribution. Choose the correct answer belowA The distribution is uniformB. The overall shape is normalC. The distribution is slightly left skewedMo. The overall shape is right skewed(1) How many states had their percentage benveen 20% and 50%?(Type a whole number)

Answer 1

(a). The answer already presented for part (a) is correct.

(b). In order to solve this question, we need to observe the histogram. We see that between 12.5% and 22.5% there are: half of a bar, then a whole bar, then half o another bar. This means that the width of 2 whole bars is:

22.5% - 12.5% = 10%

Then, the width of each bar is

(10%)/2 = 5%

Now, since the midpoint of the third bar is located at 22.5%, this means it goes from 20% to 25%.

And, using the same thought, we can identify that the eighth bar goes from 45% to 50%.

Thus, the states that had their percentage between 20% and 50% are represented from the third to the eighth bars.

Therefore, the number of states in this category is the sum of the heights (frequencies) of each of those bars:

17 + 15 + 8 + 2 + 4 + 4 = 32 + 10 + 8 = 42 + 8 = 50

Answer: 50