Select the outlier in the data set. 10, 14, 28, 45, 49, 59, 91, 99, 581 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. 10, 14, 28, 45, 49, 59, 91, 99, 581  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: 10, 14, 28, 45, 49, 59, 91, 99, 581. An outlier is a data point that is significantly different from the rest of the data. We can often spot an outlier by looking for a number that is much larger or smaller than the rest of the numbers in the set. In this case, 581 is much larger than all other numbers and stands out as the outlier.Calculate Mean with Outlier: Calculate the mean of the data set with the outlier included. To find the mean, add all the numbers together and divide by the number of data points. Mean = (10 + 14 + 28 + 45 + 49 + 59 + 91 + 99 + 581) / 9 Mean = (976) / 9 Mean ≈ 108.44Calculate Mean without Outlier: Calculate the mean of the data set without the outlier. Remove the outlier (581) and calculate the new mean. Mean without outlier = (10 + 14 + 28 + 45 + 49 + 59 + 91 + 99) / 8 Mean without outlier = (395) / 8 Mean without outlier ≈ 49.375Compare Means: Compare the means to determine if the mean would increase or decrease upon the removal of the outlier. The original mean with the outlier was approximately 108.44, and the mean without the outlier is approximately 49.375. Since the mean without the outlier is less than the mean with the outlier, the mean would decrease if the outlier were removed.

Select the outlier in the data set. $\newline$ $10, 14, 28, 45, 49, 59, 91, 99, 581$ $\newline$ 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.\newline10,14,28,45,49,59,91,99,58110, 14, 28, 45, 49, 59, 91, 99, 58110,14,28,45,49,59,91,99,581\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. $\newline$ $10, 14, 28, 45, 49, 59, 91, 99, 581$ $\newline$ If the outlier were removed from the data set, would the mean increase or decrease? $\newline$ Choices: $\newline$ (A)increase $\newline$ (B)decrease