Select the outlier in the data set. 72, 80, 82, 83, 85, 86, 88, 92, 610 If the outlier were removed from the data set, would the mean increase or decrease? Choices: (A)increase (B)decrease

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Select the outlier in the data set. 72, 80, 82, 83, 85, 86, 88, 92, 610  If the outlier were removed from the data set, would the mean increase or decrease?   Choices: (A)increase (B)decrease

Bytelearn · Accepted Answer

Identify Outlier: Identify the outlier in the data set. To find the outlier, we look for a number that is significantly different from the rest of the numbers in the data set. In this case, 610 stands out as it is much larger than all other values which are all below 100.Determine Outlier: Determine if 610 is an outlier using the interquartile range (IQR) method or by observing the gap between it and the rest of the data. The gap between 610 and the next highest number, 92, is very large. This suggests that 610 is an outlier without needing to calculate the IQR.Calculate Mean with Outlier: Calculate the mean of the data set with the outlier included. Mean = (72 + 80 + 82 + 83 + 85 + 86 + 88 + 92 + 610) / 9 Mean = (1278 + 610) / 9 Mean = 1888 / 9 Mean ≈ 209.78Calculate Mean without Outlier: Calculate the mean of the data set without the outlier. Mean without outlier = (72 + 80 + 82 + 83 + 85 + 86 + 88 + 92) / 8 Mean without outlier = 668 / 8 Mean without outlier = 83.5Compare Mean: Compare the two means to determine if the mean would increase or decrease when the outlier is removed. The mean with the outlier is approximately 209.78, and the mean without the outlier is 83.5. Since 209.78 is greater than 83.5, removing the outlier will decrease the mean.

Select the outlier in the data set. $\newline$ $72, 80, 82, 83, 85, 86, 88, 92, 610$ $\newline$ If the outlier were removed from the data set, would the mean increase or decrease? $\newline$ Choices: $\newline$ (A)increase $\newline$ (B)decrease

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Select the outlier in the data set.\newline72,80,82,83,85,86,88,92,61072, 80, 82, 83, 85, 86, 88, 92, 61072,80,82,83,85,86,88,92,610\newlineIf the outlier were removed from the data set, would the mean increase or decrease?\newlineChoices:\newline(A)increase\newline(B)decrease

Select the outlier in the data set. $\newline$ $72, 80, 82, 83, 85, 86, 88, 92, 610$ $\newline$ If the outlier were removed from the data set, would the mean increase or decrease? $\newline$ Choices: $\newline$ (A)increase $\newline$ (B)decrease