Q. Select the outlier in the data set. 20,30,38,65,74,76,79,81,561
Check Data Set: Data set: 20,30,38,65,74,76,79,81,561 First, we need to look at the data set and see if there is a number that is significantly different from the others.
Identify Outlier: By observation, we can see that the number 561 is much larger than all the other numbers in the set. The rest of the numbers are relatively close to each other in value.
Calculate Mean and Deviation: To confirm our observation, we can calculate the mean and standard deviation of the data set and then determine if any value is more than 1.5 times the interquartile range (IQR) above the third quartile or below the first quartile. However, since the number 561 stands out so starkly, we can reasonably conclude it is an outlier without detailed calculations.
Confirm Outlier: We conclude that 561 is the outlier in the data set because it is significantly higher than all other values.