Select the outlier in the data set. 8, 46, 52, 55, 57, 60, 62, 72 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. 8, 46, 52, 55, 57, 60, 62, 72  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: 8, 46, 52, 55, 57, 60, 62, 72. 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 smaller or larger than the rest. In this case, the number 8 stands out as being much smaller than the other numbers in the set.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 = (8 + 46 + 52 + 55 + 57 + 60 + 62 + 72) / 8 Mean = (362) / 8 Mean = 45.25Remove Outlier, Recalculate Mean: Remove the outlier and calculate the new mean of the data set. The new data set without the outlier (8) is: 46, 52, 55, 57, 60, 62, 72. Now, add these numbers together and divide by the new number of data points, which is 7. New Mean = (46 + 52 + 55 + 57 + 60 + 62 + 72) / 7 New Mean = (404) / 7 New Mean = 57.71 (rounded to two decimal places)Compare Means: Compare the two means to determine if the mean increased or decreased after removing the outlier. The original mean was 45.25, and the new mean without the outlier is 57.71. Since 57.71 is greater than 45.25, the mean increased after removing the outlier.

Select the outlier in the data set. $\newline$ $8, 46, 52, 55, 57, 60, 62, 72$ $\newline$ 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.\newline8,46,52,55,57,60,62,728, 46, 52, 55, 57, 60, 62, 728,46,52,55,57,60,62,72\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. $\newline$ $8, 46, 52, 55, 57, 60, 62, 72$ $\newline$ If the outlier were removed from the data set, would the mean increase or decrease? $\newline$ Choices: $\newline$ (A)increase $\newline$ (B)decrease