#71, 175, 180# are mild outliers No extreme outlier. Data values are already sorted #71, 96, 110, 112, 114, 114, 121, 127, 135, 175, 180# Median assigned as #Q_2=114# , Middle sample. Lower quartile #Q_1=110# , halfway point of the points in the data set below the median Upper quartile #Q_3=135# , halfway point of the points in the data set above the median Interquartile range, the distance from #Q_1" to "Q_3# is #(Q_3-Q_1)=135-110=25# Inner fences for the data set #="Interquartile range"xx1.5# #=25xx1.5=37.5# . The boundaries of inner fence are #135+37.5=172.5, and# # 110-37.5=72.5# from inspection we see that data points #71, 175, 180# lie outside the range. These are mild outliers. Outer fences for the data set #="Interquartile range"xx3# #=25xx3=75# . The boundaries of outer fence are #135+75=210, and# # 110-75=35# from inspection we see that no data point lie outside the range. There are no extreme outlier.

undefined The data values that are outliers are 175 and 180.

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Here are the numbers of pages in the books on a reading list. 71 96 110 112 114 114 121 127 135 175 180 Which data values are outliers? Choose all answers that are correct.

71

96

175

180

Answer 1

Ethan Adkins

#71, 175, 180# are mild outliers
No extreme outlier.

Data values are already sorted
#71, 96, 110, 112, 114, 114, 121, 127, 135, 175, 180#
Median assigned as #Q_2=114#, Middle sample.
Lower quartile #Q_1=110#, halfway point of the points in the data set below the median
Upper quartile #Q_3=135#, halfway point of the points in the data set above the median
Interquartile range, the distance from #Q_1" to "Q_3# is #(Q_3-Q_1)=135-110=25#
Inner fences for the data set #="Interquartile range"xx1.5#
#=25xx1.5=37.5#. The boundaries of inner fence are #135+37.5=172.5, and#
# 110-37.5=72.5#
from inspection we see that data points #71, 175, 180# lie outside the range. These are mild outliers.
Outer fences for the data set #="Interquartile range"xx3#
#=25xx3=75#. The boundaries of outer fence are #135+75=210, and#
# 110-75=35#
from inspection we see that no data point lie outside the range. There are no extreme outlier.

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Answer 2

Nathan Axel

The data values that are outliers are 175 and 180.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

Here are the numbers of pages in the books on a reading list. 71 96 110 112 114 114 121 127 135 175 180 Which data values are outliers? Choose all answers that are correct.

71 96 175 180

71

96

175

180