Q. Select the outlier in the data set. 6,56,68,69,71,76,80,89
Identify Data Set: Identify the data set provided.Data set: 6,56,68,69,71,76,80,89We need to find the number that is significantly different from the rest of the numbers in the set.
Calculate Range and IQR: Calculate the range and the interquartile range (IQR) to detect outliers. However, since the data set is small, we can visually inspect the data to identify any number that is significantly lower or higher than the others.
Inspect Data Visually: Visually inspect the data set. Upon inspection, we see that the number 6 is much lower than all other numbers in the set. The rest of the numbers are all above 50, which makes 6 stand out as a potential outlier.
Determine Outlier: Determine if 6 is an outlier.Since 6 is significantly lower than the rest of the data points and does not fit within the pattern of the rest of the set, we can consider it an outlier.