b) Find the mean and median if you throw out Alaska, which has the largest area by far. What does this tell you? Largest area will be 269 square miles. The mean will become 118.7; the median will now be 71 The huge amount of difference from 665 and 269 has only a little change of results when we try to average the given data sets, we can conclude that the change in a curve wont greatly affect the results of our mean and median

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.1: Measures Of Center
Problem 25PFA
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answer letter B using the above informations

1.
The total areas, in thousands of square miles, of the 15 largest states in the United States are provided in
the list below. Find the mean area for these 15 states. Do you think it's an accurate reflection of the
most typical size? Why or why not?
665
98
269 164
98
97
147
122
87 85 84 82
114 111 104
Mean: 155.1
Yes, it is accurate because the spread of the data stays from within 80 to 150 (mostly) so I can therefore
say it is accurate.
2. a) Find the median of the land areas in number 1 above. Compare to the mean, and discuss the
difference. Try to come up with an explanation for the discrepancy.
Median: 104
Mean: 155.1
They are both accurate since the difference of their results is just a small value
b) Find the mean and median if you throw out Alaska, which has the largest area by far. What does this
tell you?
Largest area will be 269 square miles. The mean will become 118.7; the median will now be 71
The huge amount of difference from 665 and 269 has only a little change of results when we try to
average the given data sets, we can conclude that the change in a curve wont greatly affect the results of
our mean and median
Acti
Transcribed Image Text:1. The total areas, in thousands of square miles, of the 15 largest states in the United States are provided in the list below. Find the mean area for these 15 states. Do you think it's an accurate reflection of the most typical size? Why or why not? 665 98 269 164 98 97 147 122 87 85 84 82 114 111 104 Mean: 155.1 Yes, it is accurate because the spread of the data stays from within 80 to 150 (mostly) so I can therefore say it is accurate. 2. a) Find the median of the land areas in number 1 above. Compare to the mean, and discuss the difference. Try to come up with an explanation for the discrepancy. Median: 104 Mean: 155.1 They are both accurate since the difference of their results is just a small value b) Find the mean and median if you throw out Alaska, which has the largest area by far. What does this tell you? Largest area will be 269 square miles. The mean will become 118.7; the median will now be 71 The huge amount of difference from 665 and 269 has only a little change of results when we try to average the given data sets, we can conclude that the change in a curve wont greatly affect the results of our mean and median Acti
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