Explanation:
Given the five summary of a data set:
45 - min
52 - Q1
56 - Median
61 - Q3
69- Max
Thus, any number less than Q1-(1.5×IQR)
, or any number that is greater than
Q3+ (1.5 × IQR) would be considered an outlier.
The IQR of the data set = Q3 - Q1 = 61-
52 = 9
Thus,
Q1- (1.5 × IQR) =52- (1.5* 9) = 52 - 13.5=38.5
Therefore, an observation is considered
an outlier if it is below: 38.5
Q3 + (1.5 * 1QR) = 61 + (1.5 * 9) =61+13.5 =74.5
Therefore, an observation is considered
an outlier if it is above: 74.5