Q. Select the outlier in the data set.7,41,45,47,48,50,54,59
Identify data set: Identify the data set and understand what an outlier is.An outlier is a data point that is significantly different from the rest of the data. It can be much higher or much lower than the other values in the set.Data set: 7,41,45,47,48,50,54,59
Find outlier: Look for the number that seems significantly different from the rest of the numbers in the data set.By inspection, we can see that the number 7 is much lower than all the other numbers, which are all above 40.
Calculate range: To confirm that 7 is an outlier, we can calculate the range and see if 7 falls far outside the typical spread of the data.First, find the range of the data set by subtracting the smallest number from the largest number: 59−7=52.
Confirm outlier: Calculate the interquartile range (IQR) or use another statistical method to determine outliers, but in this case, since the data set is small and the number 7 is clearly much smaller than the others, we can reasonably conclude that 7 is the outlier without further calculations.