For what value of x is the mode of the following dataset equal to 27?
25,26,27,23,27,26,24,x,27,26,25,25
- A27
- B24
- C25
- D26
Solution & Step-by-step Explanation
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 time
24⟹1 time
25⟹3 times
26⟹3 times
27⟹3 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.
23⟹1 time
24⟹1 time
25⟹3 times
26⟹3 times
27⟹3 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.