The following data set has a value much higher than the rest: 177 153 122 141 189 155

[answerhappygod]

The following data set has a value
much higher than the rest:
177
153
122
141
189
155
162
165
149
157 240
When the large value is deleted from
the data set, the data set becomes:
177
153
122
141
189
155
162
165
149 157
Find the measures of central tendency,
then compare and contrast the values.
Solution:
The measures of central tendency for
the first data set follow:
The mode is ___________.
The median is __________.
The mean is __________.
The measures of central tendency for
the data set without the higher value are:
Now the mode is _______, the median is
_________ and the mean is _________.
Notice how much the mean changed (The
mean is higher for the original data set and lower for the edited
data set.) and how close the median of the edited data set is to
the original value.
Finding the Midrange
Find the midrange of each of the data
sets.
Original Data Set:
177
153
122
141
189
155
162
165
149
157 240
Edited Data Set:
177
153
122
141
189
155
162
165
149 157
Solution:
Original Data Set: MR =
____________
Now find the midrange for the data set
after deleting the extreme value.
Edited Data Set: MR =
____________
Is it reasonable to use the midrange
as a descriptive statistic for this data set?
. Fading Time of Outdoor Paint
Consider the sample of time, in
months, two brands of outdoor paint last before fading.
Brand A
10
60
50
30
40
20
Brand B
35
45
30
35
40
25
Calculate the sample mean time, in
months, to fade for each brand.
Solution:
Mean for Brand A: XA=
_____

Mean for Brand B: XB= ____
Notice that we need more information
is needed to describe the data.
. Find the Range
Find the range for Brand A.
Find the range for Brand B.
Solution:
Find the range for Brand A:
RA = __________________ = _____ months
Find the range for Brand B:
RB = __________________ = _____ months
Although the means are equal for both
brands, the ranges are quite different.
.