for the data set a = [3,7,2,4,8,4,1,3] find the first three moments by direct calculation (not a calculator function), converting into standard deviation and skewness as appropriate. - Compare the median to the mean, and explain what you see with reference to the skewness. What are the differences between the 50th percentile and the 25th or 75th percentiles? How does this relate to the question above? b. Normalize the data by subtracting the mean and dividing by the standard deviation. Recalculate the skewness using this normalized data set and compare to what you got above. wanted How would you present the average in a report? How might you change this if these numbers represented the rolls of a 10 sided dice and you know if it was honest? For the function y(02) = 0 repeat the analysis of part (a) using integration. Explain why the values you get make sense intuitively.
for the data set a = [3,7,2,4,8,4,1,3] find the first three moments by direct calculation (not a calculator function), converting into standard deviation and skewness as appropriate. - Compare the median to the mean, and explain what you see with reference to the skewness. What are the differences between the 50th percentile and the 25th or 75th percentiles? How does this relate to the question above? b. Normalize the data by subtracting the mean and dividing by the standard deviation. Recalculate the skewness using this normalized data set and compare to what you got above. wanted How would you present the average in a report? How might you change this if these numbers represented the rolls of a 10 sided dice and you know if it was honest? For the function y(02) = 0 repeat the analysis of part (a) using integration. Explain why the values you get make sense intuitively.
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Please do question b,c and d
![Descriptive Statistics
for the data set a = [3,7,2,4,8,4,1,3]
find the first three moments by direct calculation (not a calculator
function), converting into standard deviation and skewness as
appropriate.
C.
Compare the median to the mean, and explain what you see with
reference to the skewness.
What are the differences between the 50th percentile and the 25th or 75th
percentiles? How does this relate to the question above?
b. Normalize the data by subtracting the mean and dividing by the standard
deviation. Recalculate the skewness using this normalized data set and
compare to what you got above.
How would you present the average in a report? How might you change this
if these numbers represented the rolls of a 10 sided dice and you wanted
know if it was honest?
d. For the function y(0<x<2) = 4 - 2x; y(x<0,x>2) = 0 repeat the analysis of part
(a) using integration. Explain why the values you get make sense intuitively.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F8cf9958e-dd38-41eb-b691-55a1e2252bf8%2F32e6f162-352a-4b33-b386-dfb0bba2a972%2Fg7mwxut_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Descriptive Statistics
for the data set a = [3,7,2,4,8,4,1,3]
find the first three moments by direct calculation (not a calculator
function), converting into standard deviation and skewness as
appropriate.
C.
Compare the median to the mean, and explain what you see with
reference to the skewness.
What are the differences between the 50th percentile and the 25th or 75th
percentiles? How does this relate to the question above?
b. Normalize the data by subtracting the mean and dividing by the standard
deviation. Recalculate the skewness using this normalized data set and
compare to what you got above.
How would you present the average in a report? How might you change this
if these numbers represented the rolls of a 10 sided dice and you wanted
know if it was honest?
d. For the function y(0<x<2) = 4 - 2x; y(x<0,x>2) = 0 repeat the analysis of part
(a) using integration. Explain why the values you get make sense intuitively.
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