Because the mean is very sensitive to extreme values, it is not a resistant measure of center. By deleting some low values and high values, the trimmed mean is more resistant. To find the 10% trimmed mean for a data set, first arrange the data in order, then delete the bottom 10% of the values and delete the top 10% of the values, then calculate the mean of the remaining values. Use the axial loads (pounds) of aluminum cans listed below for cans that are 0.0111 in. thick. Identify any outliers, then compare the median, mean, 10% trimmed mean, and 20% trimmed mean. 248 260 268 272 277 278 281 283 283 285 0 286 289 290 290 292 295 297 299 312 501 The untrimmed mean is pounds. (Type an integer or decimal rounded to one decimal place as needed.) The 10% trimmed mean is pounds. (Type an integer or decimal rounded to one decimal place as needed.) The 20% trimmed mean is pounds. (Type an integer or decimal rounded to one decimal place as needed.) Compare the values. Choose the correct answer below. O A. The median, 10% trimmed mean, and 20% trimmed mean are close to each other. However, the untrimmed mean is significantly different from those values. O B. All of the values are close to each other. O C. The median, untrimmed mean, and 20% trimmed mean are close to each other. However, the 10% trimmed mean is significantly different from those values. O D. The untrimmed mean, 10% trimmed mean, and 20% trimmed mean are close to each other. However, the median is significantly different from those values. O E. The median, untrimmed mean, and 10% trimmed mean are close to each other. However, the 20% trimmed mean is significantly different from those values.
Because the mean is very sensitive to extreme values, it is not a resistant measure of center. By deleting some low values and high values, the trimmed mean is more resistant. To find the 10% trimmed mean for a data set, first arrange the data in order, then delete the bottom 10% of the values and delete the top 10% of the values, then calculate the mean of the remaining values. Use the axial loads (pounds) of aluminum cans listed below for cans that are 0.0111 in. thick. Identify any outliers, then compare the median, mean, 10% trimmed mean, and 20% trimmed mean. 248 260 268 272 277 278 281 283 283 285 0 286 289 290 290 292 295 297 299 312 501 The untrimmed mean is pounds. (Type an integer or decimal rounded to one decimal place as needed.) The 10% trimmed mean is pounds. (Type an integer or decimal rounded to one decimal place as needed.) The 20% trimmed mean is pounds. (Type an integer or decimal rounded to one decimal place as needed.) Compare the values. Choose the correct answer below. O A. The median, 10% trimmed mean, and 20% trimmed mean are close to each other. However, the untrimmed mean is significantly different from those values. O B. All of the values are close to each other. O C. The median, untrimmed mean, and 20% trimmed mean are close to each other. However, the 10% trimmed mean is significantly different from those values. O D. The untrimmed mean, 10% trimmed mean, and 20% trimmed mean are close to each other. However, the median is significantly different from those values. O E. The median, untrimmed mean, and 10% trimmed mean are close to each other. However, the 20% trimmed mean is significantly different from those values.
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
Related questions
Question
21.
Transcribed Image Text:Because the mean is very sensitive to extreme values, it is not a resistant measure of center. By deleting some low values and high values, the trimmed mean is more resistant. To find
the 10% trimmed mean for a data set, first arrange the data in order, then delete the bottom 10% of the values and delete the top 10% of the values, then calculate the mean of the
remaining values. Use the axial loads (pounds) of aluminum cans listed below for cans that are 0.0111 in. thick. Identify any outliers, then compare the median, mean, 10% trimmed
mean, and 20% trimmed mean.
248 260 268 272 277 278 281 283 283 285 O
286 289 290 290 292 295 297 299 312 501
The untrimmed mean is
pounds.
(Type an integer or decimal rounded to one decimal place as needed.)
The 10% trimmed mean is
pounds.
(Type an integer or decimal rounded to one decimal place as needed.)
The 20% trimmed mean is
pounds.
(Type an integer or decimal rounded to one decimal place as needed.)
Compare the values. Choose the correct answer below.
A. The median, 10% trimmed mean, and 20% trimmed mean are close to each other. However, the untrimmed mean is significantly different from those values.
B. All of the values are close to each other.
C. The median, untrimmed mean, and 20% trimmed mean are close to each other. However, the 10% trimmed mean is significantly different from those values.
D. The untrimmed mean, 10% trimmed mean, and 20% trimmed mean are close to each other. However, the median is significantly different from those values.
E. The median, untrimmed mean, and 10% trimmed mean are close to each other. However, the 20% trimmed mean is significantly different from those values.
Transcribed Image Text:Pulse rates for men and women
Use the same scales to construct modified boxplots for the pulse rate
Full data set O
two data sets.
59
59
72
68
59
89
83
75
76
76
Click the icon to view the data sets.
85
54
104 65
70
57
80
64
75
78
51
62
66
64
66
48
70
57
67
54
67
79
68
60
69
72
73
65
50
59
Women's Pulse Rates
79
65
66
73
80
79
96
71
62
81
40 50 60 70 80 90 100110
69
56
77
78
78
89
98
61
99
100
What points are outliers?
77
66
84
64
71
77
74
91
91
72
81
73
79
104 61
74
72
88
74
80
О А. 56, 61, 104
В. 100, 104
С. 56
Print
Done
D. 104
Compare the two boxplots. Choose the correct answer below.
O A. In general, it appears that males have lower pulse rates than females. The variation among the male pulse rates is much greater than the variation among the female pulse
rates.
B. In general, it appears that males have lower pulse rates than females. The variation among the male pulse rates is similar to the variation among the female pulse rates.
C. In general, it appears that males have higher pulse rates than females. The variation among the male pulse rates is similar to the variation among the female pulse rates.
O D. In general, it appears that males have higher pulse rates than females. The variation among the male pulse rates is much greater than the variation among the female pulse
rates.
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