Q. Select the outlier in the data set. 10,15,19,26,29,42,46,191
List Data Set: List the data set in order to visualize the numbers and look for any number that appears to be significantly different from the others.Data set: 10,15,19,26,29,42,46,191
Calculate Mean: Calculate the mean (average) of the data set.Mean = (10+15+19+26+29+42+46+191)/8Mean = 378/8Mean = 47.25
Calculate Standard Deviation: Calculate the standard deviation to understand the spread of the data. However, for a quick outlier check, we can skip this step and look for a number that is significantly higher or lower than the mean.
Compare to Mean: Compare each number in the data set to the mean to see if any number is significantly higher or lower than the mean.- The number 191 is significantly higher than the mean (47.25).- All other numbers are relatively close to the mean when compared to 191.
Identify Outlier: Identify the outlier based on the comparison.- The number 191 stands out as the outlier because it is much larger than the rest of the numbers in the data set and the mean.