How do outliers affect the mean and median in a data set?

Answer 1

Outliers will skew the data set (including mean and median) fairly drastically. For example if there are 20 students in the class and the average of 18 of the students is a 50, but 2 students got 100, then both median and mean will be increased disproportionately.

Answer 2

I am going to answer this question by using an example. Consider a number set .. 5, 7, 9, 11, 13. Mean means average or (x1+x2+....+xn), n being 5 in this case. The mean is 9. Median is the middle number in a set, in this case it also happens to be 9. Now if we added some numbers we considered "outliers" and changed our set to 1, 7, 9, 11, 20. The mean is now 9.6 but the median remains the same. Outliers can effect the mean but has no effect on the median. As a second example consider the set ... 10, 16, 18, 19, 21, 22 ,, n = 6 the mean is 17.666 ... The median is (18+19)/2 = 18.5. Now consider 2, 16, 18, 19, 21, 39 mean = 19.1 the median is still 18.5, it does not change.

Answer 3

39. The advise is a cost in the documents set. not continuously. Take the advise of two and four. 6/2 = 3 which isn't in the set. 40. The median is a cost in the documents set. that is authentic. via definition the median is often in the documents set. 40-one. The mode is a cost in the documents set. that is authentic additionally. The mode is the main generally happening fee in the set, subsequently it may well be in the set. 40 two. The advise is tormented wherein incorporates an outlier. actual. that is between the themes with making use of it at situations. Say you have standard earning in line with day person of $5, $5, $5, and $one hundred. $one hundred is the outlier. The advise shoots up from 5 to twenty-eight.seventy 5. 40 3. The mode is tormented wherein incorporates an outlier. many times not. via including $one hundred above our mode remains $5.

Answer 4

Do you know what an outlier is? It's a number far away from others.

Do you know what a mean is? It's just the average.

Do you know what a median is? It's the number half way between the lowest and highest.

So, an outlier will only slightly change the mean, but will significantly alter the median.

Think about it, because I'm sure it will be on the final.

Answer 5

Every observation has an effect but the outliers have a unduly strong effect. It's a poor idea to allow any one observation to have too great an effect on your model.