To determine the outlier in the dataset {176, 152, 18, 176, 136, 184, 181, 176}, we first look for values that are significantly different from others.
- Calculate the mean and standard deviation to check for any outlier using the standard deviation method.
However, we can also visually inspect the dataset first. The values range from 18 to 184, with most values clustered around the 170s:
- 176 appears multiple times.
- 152, 136, and 184 are relatively close to the main cluster of values.
- The value 18 is much lower than the rest.
Given that most of the numbers are around the 170s, and considering the large gap between 18 and the other values, 18 is an outlier.
Thus, the outlier in the dataset is 18.