Answer
The distribution of these data skewed to the left.
The outlier 2199 is a mild outlier.
Work Step by Step
The distribution of these data skewed to the left, because the median is to the right of the center of the box.
The ranked data in increasing order is as follows:
427,441,530,595,699,716,872,933,934,1046,1065,1125,1127,1187,1234,1274,1353,1480,1630,2199
Median = (146+1065)/2 = 1055.5
Q1=699
Q3=1274
IQR= Q3-Q1 = (1274-699) = 575
To find the lower and upper inner fences,
1.5*IQR= (1.5*575) = 862.5
Lower inner fence = (Q1-862.5) = 699-862.5 = -163.5
Upper inner fence= (Q3+862.5) = 1274+862.5 =2136.5
Smallest value within the two inner fences = 427
Largest value within the two inner fences =1630
To find the lower and upper outer fences,
3*575 = 1725
Lower outer fence =(Q1-1725)= (699-1725)= -1026
Upper outer fence = (Q3+87)= (1274+1725)=2999
The outlier 2199 is a mild outlier, because it is outside the upper inner fence but within two outer fences.
