Q. Select the outlier in the data set.8,69,71,72,74,79,81,91
Identify data set: Step 1: Identify the data set and look for numbers that stand out.Data set: 8,69,71,72,74,79,81,91Looking at the numbers, 8 is significantly lower than all other numbers which are closely grouped together.
Calculate range: Step 2: Calculate the range of the rest of the numbers to confirm the outlier.Range calculation for 69,71,72,74,79,81,91:Maximum = 91, Minimum = 69Range = Maximum - Minimum = 91−69=22
Compare deviation: Step 3: Compare the suspected outlier's deviation from the nearest number. Deviation of 8 from 69 (the next smallest number): Deviation = 69−8=61 This deviation is much larger than the range of the main group (22), confirming 8 as an outlier.