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Select the outlier in the data set.
Full solution
Q. Select the outlier in the data set.
- Identify Outlier: To identify the outlier in the data set, we first need to look at the numbers and see if there is one that stands out as being much different from the others. The data set is: .
- Observe Data Discrepancy: We can observe that the number is much smaller than all the other numbers in the data set. The rest of the numbers are all or higher, which suggests that could be the outlier.
- Calculate Range: To confirm that is the outlier, we can calculate the range and see if falls far outside the typical spread of the data. The range is the difference between the highest and lowest values in the set. However, for identifying an outlier, we might also consider using the interquartile range or standard deviation methods, which are more robust. But in this simple case, the difference is so stark that the simpler method should suffice.
- Confirm Outlier: The highest value in the data set is and the lowest is . The range is .
- Conclusion: Given that the range is and all other numbers are within a -unit range ( to ), we can conclude that is indeed the outlier as it falls well outside the typical spread of the rest of the data.
