Final answer:
The outlier in the data set is 22. The presence of an outlier can greatly affect the mean, but has little to no effect on the median and mode. Without the outlier, the median is a better measure of center for the data.
Step-by-step explanation:
To identify the outlier in the given data set, we need to examine each value and determine if it is significantly different from the other values. In this case, the outlier is 22, as it is much larger than the other ages.
The presence of an outlier can greatly affect the mean, median, and mode of the data. The mean is the most affected measure of center, as it is calculated by adding all the values and dividing by the number of values. The presence of an outlier can greatly increase or decrease the mean, depending on its value.
The median is less affected by outliers, as it is the middle value when the data is arranged in ascending order. In this case, the median remains the same (13.5) regardless of the outlier's value.
The mode, which is the most frequent value in the data set, may or may not be affected by the outlier. In this case, the mode remains the same (12) regardless of the outlier's value.
Without the outlier, the data set is more closely clustered around the value of 14. Therefore, the median, which represents the middle value, is a better measure of center for this data set without the outlier.