Final Statistics Problem Set
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School
Arizona State University *
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Course
142
Subject
Mathematics
Date
Apr 3, 2024
Type
Pages
6
Uploaded by AmbassadorWorld8115
Final: Statistics: Written Problem Set
Please note that the draft version is a different form
Directions
:
1.
Type your answers and explanations in the shaded space provided. The
boxes will expand as you type.
2.
E
xplain
your reasoning using complete English sentences. Note this is
not your answer in a sentence. Explain
why
you did what you did to
arrive at your answer. The text box will expand as you type.
3.
Hand write
your solutions showing all steps to the problem solution. Take
a picture of that work. Insert that image, cropped to only show the solution
and work for the specified part of the problem with no extra white space,
as a replacement for the
italicized
words after the problem.
4.
Once you are done, you will click File --> Download --> PDF Document
(.pdf) to save a pdf copy to your computer or drive.
5.
Return to the assignment page where you will click the submit button. You
will get an upload window where you will click choose file and navigate to
this saved file.
IMPORTANT: This is not a test. You are allowed to ask for help on InScribe.
Make sure you post an image of the question you are asking about AND what
you have tried so far.
1.
[3 pts]
The average weight of 6 people in an elevator is 173 pounds. A 7
th
person gets on and now the average weight is 165 pounds. How much did the
7
th
person weigh?
(Grade breakdown: 1 for set up and calculation; 1 for correct work; .5 for
correct answer; .5 for correct explanation)
Type your Answer:
117
Statistics Written Problem Set
Type your explanation of the process you used to solve this problem and
why:
The mean or average of a number ‘n’ of measurement is defined as the sum of all
values divided by ‘n’. The question gives us some data, the average weight and
amount of people, that we plug into the equation. From that, we know the sum of the
first 6 people. When a 7th person gets on, the average goes down to 165 and ‘n’ now
is 7. Next, we solve for X by multiplying by 7. Next, we solve for X by multiplying by 7.
Then, we subtract the sum of the 6 people and the result. Thus, resulting in the weight
of the 7th person.
2.
Use the following data obtained from ages of the last six U. S. Presidents at
the time of their inauguration to answer the following questions:
Ages of Last 6 Presidents
at Inauguration
Statistics Written Problem Set
George Bush
64
Bill Clinton
46
George W. Bush
54
Barack Obama
47
Donald Trump
70
Joe Biden
78
a.
[2 pts]
Find the mean of the data set. (Round to one decimal
place.)
(Grade breakdown: 1 for set up and work; .5 for correct answer; .5 for
explanation)
Type your Answer:
58.33
Type your explanation of the process you used to solve this problem and
why:
To find the mean of these numbers, we will add them together and then divide by the
total number of values.
b.
[4 pts]
Find the standard deviation of the data set. (Do not round
until the final answer. Round final answer to 1 decimal place.)
(Grade breakdown: 4 for set up, explanation of steps and correct answer)
Type your Answer:
10.78
Statistics Written Problem Set
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Type your explanation of the process you used to solve this problem:
To find the standard deviation, we will find the difference between each data point at
the mean, square that difference, add the sum of those squares, and then divide by
the number of data points minus 1. We subtract 1 because this is a sample of a data
set. This gives us the variance. Next, we find the square root of the variance.
Resulting in the standard deviation.
c.
[1 pts]
What percentage of presidents’ ages fall within one standard
deviation of the mean? (Round to 1 decimal place.)
(Grade breakdown: .5 for correct answer, .25 for correct work; .25 for correct
explanation)
Type your Answer:
50%
Statistics Written Problem Set
Type your explanation of the process you used to solve this problem and
why:
We will find the upper and lower bounds of one standard deviation from the mean.
From there, we see that 3 values fall within that range and divide that by our total
number of values. Resulting in the percentage of presidents’ ages within one standard
deviation of the mean.
Note:
It is your responsibility to verify the following:
●
inserted images are upright, replace the appropriate italicized
words, and are cropped as indicated
●
what is supposed to be typed is typed
●
what is supposed to be hand-written is hand-written
●
submitted file uploaded properly
●
was the correct file
●
was submitted to the correct assignment
Statistics Written Problem Set
●
was submitted no later than the deadline
●
are showing up in the Canvas assignment window with your
inserted images visible and upright
Failure to do any of these things will result in a grade of 0 on the
assignment. No submissions of files after the deadline (i.e. marked late by
the Canvas system)
Statistics Written Problem Set
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