Select the outlier in the data set. 45, 55, 65, 75, 85, 87, 95, 392

Observe Data Set: Arrange the data set in ascending order and observe the values. The data set is already in ascending order: 45, 55, 65, 75, 85, 87, 95, 392. Looking at the data set, we can see that the number 392 stands out as it is much larger than the rest of the numbers.Calculate Differences: Calculate the difference between consecutive numbers to see if one difference is significantly larger than the others. 45 to 55: 55 - 45 = 10 55 to 65: 65 - 55 = 10 65 to 75: 75 - 65 = 10 75 to 85: 85 - 75 = 10 85 to 87: 87 - 85 = 2 87 to 95: 95 - 87 = 8 95 to 392: 392 - 95 = 297 The difference of 297 is significantly larger than all other differences, indicating that 392 is likely the outlier.Confirm Outlier: Confirm that 392 is an outlier by comparing it to the rest of the data set. All other numbers are within 10 units of their adjacent numbers, while 392 is 297 units away from the nearest number. This confirms that 392 is an outlier.

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Select the outlier in the data set. $\newline$ $45, 55, 65, 75, 85, 87, 95, 392$

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Q. Select the outlier in the data set.

\newline

45, 55, 65, 75, 85, 87, 95, 392

Observe Data Set: Arrange the data set in ascending order and observe the values. $\newline$ The data set is already in ascending order: $45, 55, 65, 75, 85, 87, 95, 392$ . $\newline$ Looking at the data set, we can see that the number $392$ stands out as it is much larger than the rest of the numbers.
Calculate Differences: Calculate the difference between consecutive numbers to see if one difference is significantly larger than the others. $\newline$ $45$ to $55$ : $55 - 45 = 10$ $\newline$ $55$ to $65$ : $65 - 55 = 10$ $\newline$ $65$ to $75$ : $75 - 65 = 10$ $\newline$ $75$ to $55$ $0$ : $55$ $1$ $\newline$ $55$ $0$ to $55$ $3$ : $55$ $4$ $\newline$ $55$ $3$ to $55$ $6$ : $55$ $7$ $\newline$ $55$ $6$ to $55$ $9$ : $55 - 45 = 10$ $0$ $\newline$ The difference of $55 - 45 = 10$ $1$ is significantly larger than all other differences, indicating that $55$ $9$ is likely the outlier.
Confirm Outlier: Confirm that $392$ is an outlier by comparing it to the rest of the data set. All other numbers are within $10$ units of their adjacent numbers, while $392$ is $297$ units away from the nearest number. This confirms that $392$ is an outlier.