c) Suppose that the data over the last 44 years was somewhat different, and that the box plots for the two awards instead looked like the ones below. Box plots typically use five data points, but the box plots below appear to use only four data points. What is going on with the data for each of these box plots? Explain your reasoning in i) and i). Best Actor 29 38 44 51 83

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 27PPS
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c) Suppose that the data over the last 44 years was somewhat different, and that the box plots for
the two awards instead looked like the ones below. Box plots typically use five data points, but
the box plots below appear to use only four data points. What is going on with the data for each
of these box plots? Explain your reasoning in i) and ii).
Best Actor
29
38
44
51
83
Best Actress
30
35
47
80
i) What is going on with the Best Actor box plot above?
ii) What is going on with the Best Actress box plot above?
d) Using the original two box plots (not the ones from part c), do you think Kelly is correct that
there may be some gender discrimination occurring regarding the ages of the award winners?
Explain your reasoning.
Transcribed Image Text:c) Suppose that the data over the last 44 years was somewhat different, and that the box plots for the two awards instead looked like the ones below. Box plots typically use five data points, but the box plots below appear to use only four data points. What is going on with the data for each of these box plots? Explain your reasoning in i) and ii). Best Actor 29 38 44 51 83 Best Actress 30 35 47 80 i) What is going on with the Best Actor box plot above? ii) What is going on with the Best Actress box plot above? d) Using the original two box plots (not the ones from part c), do you think Kelly is correct that there may be some gender discrimination occurring regarding the ages of the award winners? Explain your reasoning.
1) At the 93d Academy Awards ceremony held on March 15, 2021, Anthony Hopkins won the Academy
Award for Best Actor for his role in The Father. At the age of 83, he became the oldest actor to ever
win the Oscar for Best Actor. This made Kelly, a student in Quantitative Reason, wonder about the
age differences between those who have won the award for Best Actor compared with those who
have won the award for Best Actress. Based on her research, Kelly believes that there is clear gender
discrimination for this award by the members of the Academy of Motion Pictures.
Below are two box plots showing the ages of the Oscar winners for these two categories over the
last 44 years.
Best Actor
29
38
44
51
83
Best Actress
21
30
35
47
80
a) Look at the box plot for Best Actor. What do each of the values 29, 38, 44, 51, and 83 indicate
about the ages of the winners of the Best Actor award over the last 44 years?
b) If we wanted to determine which of the two awards has the least reliable pattern for the ages of
the winners, what are some features we might look at? Based on these features, which award
would you say has the least reliable pattern for the ages of the winners?
Transcribed Image Text:1) At the 93d Academy Awards ceremony held on March 15, 2021, Anthony Hopkins won the Academy Award for Best Actor for his role in The Father. At the age of 83, he became the oldest actor to ever win the Oscar for Best Actor. This made Kelly, a student in Quantitative Reason, wonder about the age differences between those who have won the award for Best Actor compared with those who have won the award for Best Actress. Based on her research, Kelly believes that there is clear gender discrimination for this award by the members of the Academy of Motion Pictures. Below are two box plots showing the ages of the Oscar winners for these two categories over the last 44 years. Best Actor 29 38 44 51 83 Best Actress 21 30 35 47 80 a) Look at the box plot for Best Actor. What do each of the values 29, 38, 44, 51, and 83 indicate about the ages of the winners of the Best Actor award over the last 44 years? b) If we wanted to determine which of the two awards has the least reliable pattern for the ages of the winners, what are some features we might look at? Based on these features, which award would you say has the least reliable pattern for the ages of the winners?
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