Q. Select the outlier in the data set.6,35,39,40,42,43,44,46,52
Identify data set: 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: 6,35,39,40,42,43,44,46,52
Spot outlier: Look at the data set and try to spot any value that seems significantly different from the others.By inspection, the number 6 stands out as being much lower than all the other numbers in the set.
Calculate range: To confirm the outlier, we can calculate the range and see if the suspected outlier falls far from the rest of the data.The range is the difference between the highest and lowest values in the set.Range = Highest value - Lowest valueRange = 52−6Range = 46
Compare outlier to range: Compare the suspected outlier to the range.The number 6 is 46 units away from the next highest number, which is a significant difference when compared to the differences between the other consecutive numbers in the set.
Confirm outlier: Determine if the suspected outlier is indeed an outlier.Since 6 is significantly lower than the rest of the numbers and is far from the range of the other values, we can conclude that 6 is the outlier in this data set.