Q. Select the outlier in the data set. 31,41,53,54,66,69,77,89,409
Identify data set: Step 1: Identify the data set and look for any number that seems unusually high or low compared to the others.Data set: 31,41,53,54,66,69,77,89,409Observation: 409 is significantly higher than all other numbers.
Calculate range and median: Step 2: Calculate the range and median to confirm if 409 is an outlier.Range = Maximum value - Minimum valueRange = 409−31=378Median (middle value of sorted data) = 66
Compare to rest of data set: Step 3: Compare 409 to the rest of the data set to see if it falls outside a typical range.All other numbers are between 31 and 89, which makes 409 stand out as it is much higher.