Q. Select the outlier in the data set. 7,49,51,52,54,58,62,71
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: 7,49,51,52,54,58,62,71
Look for outlier: Look for the number that seems significantly different from the rest of the data.By inspection, we can see that the number 7 is much lower than all the other numbers in the set. The rest of the numbers are all above 49, which makes 7 stand out as a potential outlier.
Calculate range: To confirm, we can calculate the range and see if 7 falls far outside the typical range of the data.The range is the difference between the highest and lowest values in the set.Range = Highest value - Lowest valueRange = 71−7Range = 64
Determine outlier: Determine if 7 is an outlier by comparing it to the rest of the data.Since 7 is much lower than the next lowest number, 49, and considering the range of 64, it is reasonable to conclude that 7 is an outlier.