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Select the outlier in the data set. \newline10,15,19,26,29,42,46,19110, 15, 19, 26, 29, 42, 46, 191

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Q. Select the outlier in the data set. \newline10,15,19,26,29,42,46,19110, 15, 19, 26, 29, 42, 46, 191
  1. 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.\newlineData set: 10,15,19,26,29,42,46,19110, 15, 19, 26, 29, 42, 46, 191
  2. Calculate Mean: Calculate the mean (average) of the data set.\newlineMean = (10+15+19+26+29+42+46+191)/8(10 + 15 + 19 + 26 + 29 + 42 + 46 + 191) / 8\newlineMean = 378/8378 / 8\newlineMean = 47.2547.25
  3. 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.
  4. 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.\newline- The number 191191 is significantly higher than the mean (47.2547.25).\newline- All other numbers are relatively close to the mean when compared to 191191.
  5. Identify Outlier: Identify the outlier based on the comparison.\newline- The number 191191 stands out as the outlier because it is much larger than the rest of the numbers in the data set and the mean.

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