Final answer:
The distribution whose five-number summary is given does not have any outliers.
Step-by-step explanation:
To determine whether the distribution has an outlier, we need to calculate the interquartile range (IQR) and then find the lower and upper fences. The IQR is the difference between the third quartile and the first quartile, so in this case, it would be 89.3 - 55.3 = 34.
To find the lower and upper fences, we subtract 1.5 times the IQR from the first quartile and add 1.5 times the IQR to the third quartile, respectively. In this case, the lower fence would be 55.3 - (1.5 * 34) = -1.35, and the upper fence would be 89.3 + (1.5 * 34) = 149.25.
Since none of the data points (21.7, 55.3, 73.4, 89.3, 140.1) fall below the lower fence or above the upper fence, there are no outliers in the distribution. Therefore, the answer is False.