Select the outlier in the data set. 4, 69, 75, 76, 79, 85, 89, 97

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List Data Set: List the data set and observe the values to identify any number that appears to be significantly different from the rest of the numbers. Data set: 4, 69, 75, 76, 79, 85, 89, 97 Observation: The number 4 seems to be much lower than all other numbers in the set.Calculate Mean: Calculate the mean (average) of the data set. Mean = (4 + 69 + 75 + 76 + 79 + 85 + 89 + 97) / 8 Mean = (574) / 8 Mean = 71.75Calculate Standard Deviation: Calculate the standard deviation of the data set. This involves several sub-steps, but for the purpose of identifying an outlier, a rough estimate or comparison of how far each number is from the mean may suffice.Compare to Mean: Compare each number in the set to the mean to see which one is farthest away. - 4 is 67.75 units away from the mean. - 69 is 2.75 units away from the mean. - 75 is 3.25 units away from the mean. - 76 is 4.25 units away from the mean. - 79 is 7.25 units away from the mean. - 85 is 13.25 units away from the mean. - 89 is 17.25 units away from the mean. - 97 is 25.25 units away from the mean. Clearly, 4 is significantly farther from the mean than all other numbers.Identify Outlier: Conclude which number is the outlier based on the comparison. The number 4 is the outlier because it is significantly farther from the mean than any other number in the set.

Select the outlier in the data set. $\newline$ $4, 69, 75, 76, 79, 85, 89, 97$

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Select the outlier in the data set.\newline4,69,75,76,79,85,89,974, 69, 75, 76, 79, 85, 89, 974,69,75,76,79,85,89,97

Select the outlier in the data set. $\newline$ $4, 69, 75, 76, 79, 85, 89, 97$