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Select the outlier in the data set. $\newline$ $65, 75, 77, 80, 81, 82, 84, 86, 706$ $\newline$ 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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Identify an outlier and describe the effect of removing it

Full solution

Q. Select the outlier in the data set.

\newline

65, 75, 77, 80, 81, 82, 84, 86, 706

\newline

If the outlier were removed from the data set, would the mean increase or decrease?

\newline

Choices:

\newline

(A)increase

\newline

(B)decrease

Identify Outlier: Identify the outlier by comparing each number to the rest of the data set.
Calculate Mean Original Data: Calculate the mean of the original data set: $(65 + 75 + 77 + 80 + 81 + 82 + 84 + 86 + 706) / 9 = 148.22$ .
Remove Outlier and Recalculate Mean: Remove the outlier ( $706$ ) and calculate the new mean: $(65 + 75 + 77 + 80 + 81 + 82 + 84 + 86) / 8 = 78.75$ .
Compare Original and New Mean: Compare the original mean ( $148.22$ ) to the new mean ( $78.75$ ) to determine the effect of removing the outlier.

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