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When the outlier is removed The mean would increase.
<u>Step-by-step explanation:</u>
Outliers are the value that lies outside the set of data. i.e. the data doesn't fit in the group.
Removing outliers can affect mean more than median. Because outlier removal sometimes affect the median but in a small percentage or sometimes it will remain the same.
Let us prove, consider 16 values one with 78 and other 15 with values nearly 85, 84 that will give the mean value as 84.
78, 84, 82, 86, 84, 85, 83, 86, 82, 85, 84, 83, 86, 85, 86, 85.
Mean =.
Mean =.
Mean =.
Mean = 84.
Remove 78 from the data set then the data set is 84, 82, 86, 84, 85, 83, 86, 82, 85, 84, 83, 86, 85, 86, 85 and number of data is reduced to 15.
Mean =.
Mean =.
Mean = 84.4.
The mean is increased.
Micah was asked to add the following expressions:
First, he combined like terms in the numerator and kept the common denominator
First step is correct. He added the like terms in the numerator, because the denominators are same.
So he got ,
In the next step, he cannot cancel out x^2 from the top and bottom . Because x-4 and 3x+2 are added with x^2
If we have x^2 is multiplied with other terms at the top and bottom , then we can cancel out x^2.
So Micah added the expression incorrectly. Final answer is not correct.