Select the outlier in the data set. 12, 22, 36, 47, 61, 69, 77, 828

Calculate mean: Calculate the mean of the data set: (12 + 22 + 36 + 47 + 61 + 69 + 77 + 828) / 8 = 1153 / 8 = 144.125. Calculate deviations: Calculate the deviations from the mean for each data point: |12 - 144.125|, |22 - 144.125|, |36 - 144.125|, |47 - 144.125|, |61 - 144.125|, |69 - 144.125|, |77 - 144.125|, |828 - 144.125|. Identify largest deviation: Identify the largest deviation: The deviations are 132.125, 122.125, 108.125, 97.125, 83.125, 75.125, 67.125, 683.875. The largest deviation is 683.875, which corresponds to the data point 828. Conclude outlier: Conclude that 828 is the outlier since it has the largest deviation from the mean by a significant margin.

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Select the outlier in the data set. $\newline$ $12, 22, 36, 47, 61, 69, 77, 828$

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Q. Select the outlier in the data set.

\newline

12, 22, 36, 47, 61, 69, 77, 828

Calculate mean: Calculate the mean of the data set: $(12 + 22 + 36 + 47 + 61 + 69 + 77 + 828) / 8 = 1153 / 8 = 144.125$ .
Calculate deviations: Calculate the deviations from the mean for each data point: $|12 - 144.125| ext{, } |22 - 144.125| ext{, } |36 - 144.125| ext{, } |47 - 144.125| ext{, } |61 - 144.125| ext{, } |69 - 144.125| ext{, } |77 - 144.125| ext{, } |828 - 144.125|$ .
Identify largest deviation: Identify the largest deviation: The deviations are $132.125$ , $122.125$ , $108.125$ , $97.125$ , $83.125$ , $75.125$ , $67.125$ , $683.875$ . The largest deviation is $683.875$ , which corresponds to the data point $828$ .
Conclude outlier: Conclude that $828$ is the outlier since it has the largest deviation from the mean by a significant margin.