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August 3rd, 2017 
admin Mathematics
explain your brain week 5
Project description
Use the table below each of your assigned problems to write out each step needed to solve the problem along with the calculations necessary to find the answer to your assigned problem.
• The “Calculations” column needs to show each step that you would need to write out if you were showing your work when doing this problem by hand or trying to teach the concept to a friend.
• For each step, you will also have to provide a thorough a description of your thought processes for the calculation in the “Explanations” column.
• The first row (or step) should always be to copy the entire problem into the “Calculations” column or write out the important information. You can use copy and paste.
• Make sure that your final answer is clearly stated.
• You do not have to use all of the rows provided. However, if you need more rows to write out all of the steps you took to complete the problem, add rows.
NOTE: This assignment requires that everyone must submit at least 2 problems. Therefore, each person in the group must complete Question #3; however, you can choose any of the 4 remaining problems as your second choice.
Week 5
W5.1
The principal of an elementary school wishes to determine the average family size of the children who attend the school. Which one of the following procedures would be the most appropriate for obtaining a sample of the school’s family size? Explain briefly why you chose your answer.
a. survey every fourth child coming into the school late.
b. survey a random sample of all students in the school.
c. survey students who volunteer.
d. visit each classroom and select four students closest to the corners of the room.
Calculations Explanations
1 Copy the problem or write out important information.
2
3
(Add rows as needed).
W5.2
A professor had students keep track of their social interactions for a week. The number of social interactions over the week is shown in the following grouped frequency distribution. How many students had at least 60 social interactions for the week?
Number of Social Interactions Frequency
45-49 7
50-54 16
55-59 11
60-64 17
65-69 12
70-74 11
75-79 5
80-84 8
85-89 0
90-94 3
Calculations Explanations
1 Copy the problem or write out important information.
2
(Add rows as needed).
W5.3
For the following set of numbers, find the median.
43, 60, 56, 35, 48, 47
Calculations Explanations
1 Copy the problem or write out important information.
2
3
(Add rows as needed).
W5.4
The stem-and-leaf plot shown compares the ages of actresses for 30 winners of the Oscar at the time they won the award.
Stems Actresses
2 14667
3 00113344455778
4 1129
5 3
6 011
7 45
8 0
What age is the mode?
Calculations Explanations
1 Copy the problem or write out important information.
2
(Add rows as needed).
W5.5
The government of a large city needs to determine whether the city’s residents will support the construction of a new jail. The government decides to conduct a survey of a sample of the city’s residents. Which one of the following procedures would be most appropriate for obtaining a sample of the city’s residents?
a. Survey a random sample of the employees and inmates at the old jail.
b. Survey every 5th person who walks into City Hall on a given day.
c. Survey a random sample of persons within each geographic region of the city.
d. Survey the first 200 people listed in the city’s telephone directory.
Calculations Explanations
1 Copy the problem or write out important information.
2
(Add rows as needed).
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