Final answer:
The right fence value for the data set is 32.5, which is determined by adding 1.5 times the interquartile range (IQR) to the upper quartile (Q3).
Step-by-step explanation:
The right fence value is used to determine potential outliers in a data set. It is calculated using the quartiles of a dataset. In order to find the right fence, we first need to calculate the upper quartile (Q3) and the interquartile range (IQR), which is the difference between the upper and lower quartiles (Q3 and Q1).
In the provided data set (4, 5, 5, 8, 10, 14, 18, 25), the upper quartile (75th percentile) is halfway between 14 and 18, which is 16.
he lower quartile (25th percentile) is halfway between 5 and 5, which is 5.
Therefore, the IQR is 16 - 5 = 11. The right fence is then calculated as Q3 + 1.5 * IQR, which gives us 16 + 1.5 * 11 = 16 + 16.5 = 32.5.
So, the right fence value for this data set is 32.5.