Select the outlier in the data set. 16, 20, 22, 33, 36, 43, 47, 248 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. 16, 20, 22, 33, 36, 43, 47, 248  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: 16, 20, 22, 33, 36, 43, 47, 248. 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. In this case, 248 is much larger than all other numbers in the set, so it is 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 then divide by the number of data points. Mean = (16 + 20 + 22 + 33 + 36 + 43 + 47 + 248) / 8 Mean = 465 / 8 Mean ≈ 58.125Calculate Mean without Outlier: Calculate the mean of the data set without the outlier. Remove the outlier (248) and then calculate the mean of the remaining numbers. Mean without outlier = (16 + 20 + 22 + 33 + 36 + 43 + 47) / 7 Mean without outlier = 217 / 7 Mean without outlier ≈ 31Compare Mean Changes: Compare the two means to determine if the mean would increase or decrease upon the removal of the outlier. The mean with the outlier is approximately 58.125, and the mean without the outlier is approximately 31. 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. $\newline$ $16, 20, 22, 33, 36, 43, 47, 248$ $\newline$ 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.\newline16,20,22,33,36,43,47,24816, 20, 22, 33, 36, 43, 47, 24816,20,22,33,36,43,47,248\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. $\newline$ $16, 20, 22, 33, 36, 43, 47, 248$ $\newline$ If the outlier were removed from the data set, would the mean increase or decrease? $\newline$ Choices: $\newline$ (A)increase $\newline$ (B)decrease