7. Another measure of central tendency is the trimmed mean. It is computed by de
ID: 3357038 • Letter: 7
Question
7. Another measure of central tendency is the trimmed mean. It is computed by determining the mean of a data set after deleting the smallest and largest observed values. Compute the trimmed mean for the data given in the accompanying table. Is the trimmed mean resistant to changes in the extreme values in the given data?
0.81 0.88 0.82 0.90 0.84 0.84
0.91 0.94 0.86 0.86 0.88 0.87
0.89 0.91 0.86 0.87 0.88
0.83 0.96 0.87 0.93 0.85
0.91 0.91 0.86 0.89 0.84
0.88 0.88 0.89 0.76 0.83
0.90 0.88 0.84 0.93 0.90
0.88 0.92 0.85 0.84 0.86
The trimmed mean is ___?___ ( round to the nearest thousandth as needed)
Is the trimmed mean resistant to changes in the extreme values for the given data?
Multiple choice
a. No, because the trimmed mean varies substantially when the extreme values change.
b. yes, because changing the extreme values does not change the trimmed mean.
Explanation / Answer
putting above values in ascending order:
remmoving extreme values 0.96 and 0.76
trimmed mean is 0.87475 ~ 0.875
b. yes, because changing the extreme values does not change the trimmed mean.
0.76 0.81 0.82 0.83 0.83 0.84 0.84 0.84 0.84 0.84 0.85 0.85 0.86 0.86 0.86 0.86 0.86 0.87 0.87 0.87 0.88 0.88 0.88 0.88 0.88 0.88 0.88 0.89 0.89 0.89 0.9 0.9 0.9 0.91 0.91 0.91 0.91 0.92 0.93 0.93 0.94 0.96Related Questions
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