Question

The ages for each of the fifty states in the US are shown in Table 2

1. Construct a frequency and a percent frequency distribution of the ages begin the first class at 20.0 and use a class width of 9.
2. Construct a histogram.
3. Comment on the shape of the distribution.
4. which state has the highest age?
5. which state has the lowest age?

Table 2

Alabama	76.2	Montana	73.6
Alaska	65.9	Nebraska	78.3
Arizona	79.7	Nevada	75.1
Arkansas	70.9	New Hampshire	93.9
California	91.2	New Jersey	110.7
Colorado	45.6	New Mexico	54.5
Connecticut	107.5	New York	95.2
Delaware	61.0	North Carolina	76.5
Florida	75.5	North Dakota	87.0
Georgia	79.7	Ohio	80.9
Hawaii	89.7	Oklahoma	74.5
Idaho	67.1	Oregon	47.6
Illinois	68.7	Pennsylvania	86.8
Indiana	76.7	Rhode Island	95.1
Iowa	81.3	South Carolina	77.1
Kansas	79.9	South Dakota	72.0
Kentucky	24.5	Tennessee	73.4
Louisiana	82.6	Texas	82.0
Maine	77.8	Utah	35.7
Maryland	108.5	Vermont	85.1
Massachusetts	106.8	Virginia	97.2
Michigan	81.0	Washington	91.6
Minnesota	90.1	West Virginia	76.8
Mississippi	70.4	Wisconsin	82.3
Missouri	77.0	Wyoming	87.9

Answer 1

a) The classes are formed as follows and frequency and relative frequency is calculated for all the classes:

LL	UL	Class	Frequency	Relative Frequency (Frequency / 50)
20	29	20-29	1	0.02
29	38	29-38	1	0.02
38	47	38-47	1	0.02
47	56	47-56	2	0.04
56	65	56-65	1	0.02
65	74	65-74	8	0.16
74	83	74-83	20	0.4
83	92	83-92	8	0.16
92	101	92-101	4	0.08
101	110	101-110	3	0.06
110	119	110-119	1	0.02
			50	1

b) The histogram is:

c) The distribution is approximately normal distributed as the data is spread around the mean and is symmetric in nature.

d) The state having the highest age is: New Jersey (110.7)

e) The state having the lowest age is: Kentucky (24.5)