Q. Select the outlier in the data set.9,64,68,73,74,80,83,85,95
Identify data set & outlier: Identify the data set and understand what an outlier is. An outlier is a data point that is significantly different from the rest of the data. It can be much higher or much lower than the other values in the set. Data set: 9,64,68,73,74,80,83,85,95
Inspect data set: Look at the data set and try to identify any value that seems significantly different from the rest.By inspection, the number 9 stands out as being much lower than all the other values in the data set.
Calculate range without outlier: To confirm the outlier, we can calculate the range and see if the suspected outlier falls far from the rest of the data.First, we find the range of the data set without the suspected outlier (9).The range is the difference between the highest and lowest values in the set.Highest value without the suspected outlier: 95Lowest value without the suspected outlier: 64Range = Highest value - Lowest value = 95−64=31
Compare outlier to range: Compare the suspected outlier to the range.The suspected outlier (9) is much lower than the lowest value in the range (64) by a difference of 64−9=55, which is greater than the range itself (31).
Conclude outlier status: Conclude whether the suspected outlier is indeed an outlier. Since the difference between the suspected outlier and the closest value in the data set is greater than the range of the rest of the data, we can conclude that 9 is an outlier.