Select the outlier in the data set. 36, 45, 59, 60, 67, 73, 77, 911 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. 36, 45, 59, 60, 67, 73, 77, 911  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 given data set. The data set is: 36, 45, 59, 60, 67, 73, 77, 911. An outlier is a data point that is significantly different from the rest of the data. In this case, 911 is much larger than all other numbers and stands out as the outlier.Calculate Mean Without Outlier: Remove the outlier and calculate the mean of the remaining data. The remaining data set after removing 911 is: 36, 45, 59, 60, 67, 73, 77. Calculate the sum of these numbers: 36 + 45 + 59 + 60 + 67 + 73 + 77 = 417. Count the number of data points: There are 7 data points. Calculate the mean: Mean = Sum of data points / Number of data points = 417 / 7 = 59.57 (rounded to two decimal places).Calculate Mean With Outlier: Calculate the mean of the original data set including the outlier. The original data set is: 36, 45, 59, 60, 67, 73, 77, 911. Calculate the sum of these numbers: 36 + 45 + 59 + 60 + 67 + 73 + 77 + 911 = 1328. Count the number of data points: There are 8 data points. Calculate the mean: Mean = Sum of data points / Number of data points = 1328 / 8 = 166.Compare Mean Changes: Compare the means to determine if the mean would increase or decrease upon removal of the outlier. The mean of the original data set with the outlier is 166. The mean of the data set without the outlier is approximately 59.57. Since the mean without the outlier is less than the mean with the outlier, removing the outlier would decrease the mean.

Select the outlier in the data set. $\newline$ $36, 45, 59, 60, 67, 73, 77, 911$ $\newline$ 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.\newline36,45,59,60,67,73,77,91136, 45, 59, 60, 67, 73, 77, 91136,45,59,60,67,73,77,911\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. $\newline$ $36, 45, 59, 60, 67, 73, 77, 911$ $\newline$ If the outlier were removed from the data set, would the mean increase or decrease? $\newline$ Choices: $\newline$ (A)increase $\newline$ (B)decrease