When the outliers are removed, how does the mean change? (2 points) dot plot with 1 on 50, 1 on 76, 1 on 78, 2 on 79, 1 on 80, 1 on 81, 2 on 82, 1 on 83

The mean increases by 3

Step-by-step explanation:

The original data set is 

{50, 76, 78, 79, 79, 80, 81, 82, 82, 83}

The outlier is 50 because it is not near the group of values from 76 to 83 which is where the main cluster is.

The original mean is M = (50+76+78+79+79+80+81+82+82+83)/10 = 77

If we take out the outlier 50, the new mean is N = (76+78+79+79+80+81+82+82+83)/9 = 80

So in summary so far

old mean = M = 77

new mean = N = 80

The difference in values is N-M = 80-77 = 3

So that's why the mean increases by 3

Given raw data: {18, 20, 11, 10, 8, 6, 12, 4} 
ordered data: {4, 6, 8, 10, 11, 12, 18, 20} 

minimum = 4 
maximum = 20 
median = (10 + 11) / 2 = 10.5 
first quartile is median of: {4, 6, 8, 10} or 7 
third quartile is median of: {11, 12, 18, 20} or 15 

now perform the same steps on the second set of data values 
{60, 50, 130, 200, 180, 150, 100, 140}

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