The right answers are:
It will be the same as the median.
It will decrease.
Step-by-step explanation:
Given data is:
4, 5, 5, 7, 9, 17
First of all, we will calculate the mean with and without outlier
So,
Mean with Outlier:
[tex]X_1 = \frac{Sum}{Items}\\= \frac{4+5+5+7+9+17}{6}\\= \frac{47}{6}\\=7.83[/tex]
Mean without Outlier:
[tex]X_2 = \frac{Sum}{Items}\\=\frac{4+5+5+7+9}{5}\\=\frac{30}{5}\\= 6[/tex]
The median with outlier is:
[tex]M_1 = \frac{5+7}{2}\\= \frac{12}{2} = 6[/tex]
Median without outlier:
M_2 = 5
So,
The right answers are:
It will be the same as the median.
It will decrease.
Keywords: Mean, median
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