For what value of x, the mode of the following data is 27?25, 26, 27, 23, 27, 26, 24, x, 27, 26, 25, 25

The mode of a dataset is the value that appears most frequently. Let's count the frequency of each known number in the given list:$23⟹1\text{ time}$$24⟹1\text{ time}$$25⟹3\text{ times}$$26⟹3\text{ times}$$27⟹3\text{ times}$ Currently, the numbers $25$, $26$, and $27$ are tied, each appearing exactly $3$ times.The problem states that the unique mode of the complete dataset must be $27$. For $27$ to have the highest frequency, the unknown value $x$ must be $27$, which increases its count to $4$.