Q. Select the outlier in the data set. 74,84,86,87,88,91,92,94,979
List Data Set: List the data set in order to visualize the numbers and identify any number that appears to be significantly different from the others.Data set: 74,84,86,87,88,91,92,94,979
Calculate Mean: Calculate the mean (average) of the data set by adding all the numbers together and dividing by the total number of data points.Mean = (74+84+86+87+88+91+92+94+979)/9Mean = (1675)/9Mean ≈186.11
Skip Standard Deviation: Calculate the standard deviation to understand the spread of the data. However, for a quick outlier check, we can skip this step and look for a number that is significantly different from the others, which would be an outlier.
Compare to Mean: Compare each number in the data set to the mean to see if any number is significantly higher or lower than the mean. The number 979 stands out as it is much higher than the rest of the numbers and the mean.
Identify Outlier: Conclude that the number 979 is the outlier in the data set because it is significantly different from all other numbers in the set.