Question

The following histogram shows

the percentage of residential
properties in negative equity or
near negative equity for 43
states of a certain country for
which data were available in
July 2012.
Complete parts (a) through (c)
below.
Frequency
35
30
25-
20-3
5
153
10
5-
0
(Type a whole number.)
...
(a) Describe the shape of the distribution. Choose the correct answer below.
A. The overall shape is right skewed.
B. The distribution is uniform.
C. The overall shape is normal.
D. The distribution is slightly left skewed.
12.5 22.5 32.5 42.5 52.5
Percentage
(b) How many states had their percentage between 10% and 14.9%?
8
(Type a whole number.)
(c) How many states had their percentage above 45%?

Answer 1

The overall shape of the distribution is right skewed, so the A is correct option.

The number of states having the percentage between 10% and 14.9% is 24.

The number of states has their percentage width above 45% is 3.

What is histogram?

Part A : The overall shape of the distribution is right skewed, so the A is correct option.

Part B: Each bar in the histogram is showing the percentage width of 5%

There are 8 bars from the mid point 12.5% to 52.5%.

Let's calculate the percentage width

Width in percentage = 52.5 -12.5/

= 5%

Each bar is of width 5 percentage.

The mid point of the first bar is 12.5%

Lower class width 12.5 - 2.5 = 10%

Upper class width 12.5 + 2.5 = 15% .

The first bar represents the number of states having their percentage between 10% and 14.9%.

The frequency corresponding to this bar is 24 (This is determined from the vertical axis)

The number of states having the percentage between 10% and 14.9% is 24.

Part C: It is asking for how many states had their percentage above 45%

First bar(10 - 15)%

Second bar(15 - 20)%

Third bar (20 - 25)%

Fourth bar(25 - 30)%

Fifth bar(30 - 35)%

Sixth bar (35 - 40)%

Seventh bar(40 - 45)%

Eighth bar(45 - 50)%

Only the last bar has percentage width above 45%.

This corresponds to frequency of 3.

The number of states that has their percentage width above 45% is 3.