The number of hours a group of contestants spent preparing for a quiz show are listed below. What is a frequency table that represents the data?
8 12 25 32 45 50 62 73 80 99 4 18 9 39 36 67 33
Hour | Frequency
------------|----------
0-9 |
10-19 |
20-29 |
30-39 |
40-49 |
50-59 |
60-69 |
70-79 |
80-89 |
90-99 |
Hour | Frequency
------------|----------
0-9 | 0
10-19 | 2
20-29 | 1
30-39 | 2
40-49 | 1
50-59 | 1
60-69 | 1
70-79 | 1
80-89 | 1
90-99 | 1
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Background: Amanda Whitman was born and raised locally. She has built a
successful legal practice and is known for taking on legal cases for poor clients pro
bono (free of charge). She has also served as the director of the city zoning board.
Policy Statement: “Education, law enforcement, and maintenance of the city’s
infrastructure (roads and bridges) are all important issues. I support a balanced
approach to addressing these issues. Our crime rate has risen, but only by a small
margin, and mostly in non-violent categories. There is no need to overreact.
Likewise, our students are lagging behind national averages in math and science
but only by small margins. Once again, we don’t need to dramatize the situation.
Our roads and bridges also need improvement, but we already devote a large
portion of the city budget to this problem. Why spend even more on a problem that
is already getting plenty of attention? If elected, I will submit a budget to the city
council that evenly divides our available funds. The school system, the police
department, and the city transit authority would each get one third of our
discretionary (optional) spending fund. I would ask the superintendent of schools,
the chief of police, and the director of the city transit authority for detailed plans on
how best to use these funds to benefit the city and its citizens.”
Candidate: Dr. Caroline Perkins
Education: Ph.D. in education
Qualifications: former teacher, principal, and superintendent of schools
Background: Dr. Perkins moved to our city as a young teacher soon after
graduating from college. She has devoted thirty-four years to the public school
system. She has also maintained balanced education budgets throughout her four-
year tenure as school superintendent.
Policy Statement: “Education is the single most important obligation we have to
the children of our city. Our students are lagging behind national averages in
several key areas. I believe improving student achievement should be our top
priority. If we strengthen our schools, we will strengthen our entire community.
Students educated in strong school systems make better employees and are less
likely to become involved in criminal behavior. Controlling crime is important, as is
improving the condition of our roads and bridges, but our schools should still be ourtop priority. If elected, I will ask the city council to allot 50 percent of our
discretionary spending to the school system. My budget would divide the remaining
half of our discretionary funds equally: twenty-five percent would go to the police
department, and twenty-five percent would be set aside for the city transit
authority. I would request that twelve and a half percent of the transit authority’s
25 percent go directly to road and bridge maintenance. The remaining twelve and
half percent would be invested in public transportation, such as city bus services. If
citizens use public transportation, we will reduce stress on our roads and bridges,
which would lower maintenance costs over time.”
Candidate: Danny Jones
Education: High school diploma
Qualifications: small business owner, former city council member
Background: Danny Jones relocated to our town as a child when his father was
stationed at a nearby air force base. Danny was a star football player in high
school, but an injury forced him to change course. Instead of attending college,
Danny started his own chain of retail stores selling arts and crafts supplies. He
began with one small shop, but his business now operates thirteen stores in three
different cities. He has served two terms as a member of the city council.
Policy Statement: “Education and crime control are both important, but our
town’s tax base depends on a healthy economy. My own company’s shipping hub is
located here. The cost of maintaining our trucks is higher than it should be because
of poor road and bridge conditions. I am not the only business owner facing this
problem. If we do not do something to address it, local businesses may start to
move elsewhere. That would cost us jobs and reduce tax revenue, which would hurt
our schools and the police department. For these reasons, if elected, I will ask the
city council to allocate half of our available funds to improving our roads and
bridges. The remaining half would be split equally between the schools and the
police department.” Why did you end up choosing this candidate? Write a paragraph explaining your reasoning for choose the candidate you chose.
As an AI language model, I cannot choose any candidate based on personal beliefs or opinions. However, based on the policy statements of the three candidates, each has their own unique approach to addressing the issues in the city. Amanda Whitman seeks a balanced approach and evenly divides the discretionary spending fund, while Dr. Caroline Perkins prioritizes education and allocates 50% of the discretionary spending to the school system. Danny Jones puts emphasis on improving the city's infrastructure to benefit the economy and businesses. The choice ultimately depends on the priorities and needs of the citizens of the city.
To create a frequency table for the given data, we need to categorize the hours into different ranges and count the frequency of each range.
Here's how we can do it:
1. Sort the hours in ascending order:
4, 8, 9, 12, 18, 25, 32, 33, 36, 39, 45, 50, 62, 67, 73, 80, 99
2. Determine the ranges for each category. In this case, let's use a range width of 10:
0-9, 10-19, 20-29, 30-39, 40-49, 50-59, 60-69, 70-79, 80-89, 90-99
3. Count the frequency of each range by counting the number of hours falling within each range:
0-9: 3 (4, 8, 9)
10-19: 2 (12, 18)
20-29: 1 (25)
30-39: 3 (32, 33, 36)
40-49: 1 (45)
50-59: 2 (50, 67)
60-69: 1 (62)
70-79: 1 (73)
80-89: 1 (80)
90-99: 1 (99)
4. Organize the data in the frequency table format, with the hour ranges in the left column and the frequencies in the right column:
Hour Range | Frequency
----------------------
0-9 | 3
10-19 | 2
20-29 | 1
30-39 | 3
40-49 | 1
50-59 | 2
60-69 | 1
70-79 | 1
80-89 | 1
90-99 | 1
This table represents the frequency distribution of the given data.