MAT 205 WU Distribution of The Unemployment Data by State Question

MAT 205 Fall 2021LRA 4
3. The Acme Corporation created a histogram of their employee’s salaries. Use the||
histogram to answer the questions below.
Figure 1. Distribution of salaries of the Acme Corporation
name
date
a. What is the class width?
600
500
1. Create a grouped frequency distribution for the unemployment data by state
from 2020 shown below. Use classes starting with 4.0-4.9 and end with a class
16.0-16.9.
400
b. One class is the least
frequent, approximately how
many employees were in this
class?
300
Alabama
7.9
Indiana
7.8
Nebraska
4.8
8.6
200
South
Carolina
South Dakota
Alaska
11.6
Iowa
6.6
14
6.3
100
C. Which class is the most
frequent?
Arizona
10.6
Kansas
7.2
8.1
Tennessee
9.5
0
Nevada
New
Hampshire
New Jersey
New Mexico
7.1
5.7
13.8
Texas
8
0-10 11-21 22-32 33-43 44-54 55-65 66-76 77-87 88+
Salary($thousands)
d. Can you tell exactly what
the highest salary is? Explain.
13.3
9.4
12.7
Utah
4.5
7.4
9.9
New York
15.9
8.3
10.2
7.6
8.5
8
Arkansas
California
Colorado
Connecticut
Delaware
Florida
Georgia
Hawaii
North Carolina
North Dakota
10.4
10.3
Kentucky
Louisiana
Maine
Maryland
Massachusetts
Michigan
Minnesota
Mississippi
Missouri
Montana
16.1
8.7
Vermont
Virginia
Washington
West Virginia
Wisconsin
Wyoming
11.3
6.6
8.9
7.1
Ohio
9.9
4. The stem and leaf display below give the ages of 20 people in an office. Use the
display to answer the questions that follow.
7.6
7.7
7
13.1
10.8
10.4
7.1
Oklahoma
Oregon
Pennsylvania
Rhode Island
5 5
6.9
13.7
Ages of people in an office
Idaho
Illinois
a. How old is the
oldest person?
11.3
6.4
11.2
stem
b. How many people
are in their twenties?
2. Construct a Histogram using the frequency distribution from problem 1.
1
2
3
4
5
leaf
8 9 9
1 3 6 7 7 7 9
0 2 2 5 8
1 6 7
3 5
C. How old is the
youngest person in
their thirties?
key: 2 | 3 means 23 years
d. What is the most
common age?
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5. The students in Mrs. R’s class were asked what their favorite sport is. Here are the
answers – football, baseball, soccer, soccer, football, tennis, tennis, golf, soccer,
baseball, baseball, baseball, football, golf
Draw a bar graph for these data. Label the graph.
Extra Credit
The circle graph shows how the family budgets its annual income. If the total
$80,000, what is budgeted for entertainment?
ome
Entertainment
1496
Rent
25%
Savings
12%
Insurance
11%
Food
1596
Clothing
239