Answer:
Both the mean and median decrease.
Step-by-step explanation:
Median (without 1,000,000):
<em>25, 25, 25, 35</em>, 35,<em> 45, 45, 55, 55</em>
= 35
Median (with 1,000,000):
<em>25, 25, 25, 35</em>, 35, 45, <em>45, 55, 55, 1,000,000</em>
= average of 35 and 45
= 40
As you can see, without the outlier, the value of the median decreases.
Mean (without 1,000,000):
= (25 + 25 + 25 + 35 + 35 + 45 + 45 + 55 + 55) / 9
= 38.3
Mean (with 1,000,000):
= (25 + 25 + 25 + 35 + 35 + 45 + 45 + 55 + 55 + 1,000,000) / 10
= 100,0034.5
As you can see, without the outlier, the value of the mean dramatically decreases.
