Final answer:
Outliers are determined using the interquartile range (IQR) and the calculated fences. Values c. 175, d. 103, and e. 133 are outliers because they exceed the upper fence of 87 calculated from the five number summary.
Step-by-step explanation:
The question involves determining which data points are outliers in a given dataset, based on the five number summary.
To do this, we calculate the interquartile range (IQR) first, which is Q3 - Q1. In this case, IQR = 72 - 62 = 10. Next, we find the fences, which are the cut-off points for identifying outliers.
The lower fence is Q1 - 1.5 * IQR and the upper fence is Q3 + 1.5 * IQR. Hence, the lower fence = 62 - (1.5 * 10) = 47 and the upper fence = 72 + (1.5 * 10) = 87.
Comparing the given data points to these fences, any value below 47 or above 87 would be considered an outlier. Therefore, from the provided options, c. 175, d. 103, and e. 133 are all outliers since they are greater than the upper fence of 87.
The correct option answer in the final answer is c. 175, d. 103, and e. 133.