Question

The observations 42, 37, 59, 48, 45, 42, 43, 59, 58, 45, 69, 56, x, y, z where x, y, z are distinct. If the data has only one mode, then the mode of the data cannot be

• A. 42
• B. 59
• C. 45
• D. 56

Answer 1

The correct option is D 56

Since, 37, 48, 43, 58, 69 and 56 are only once in the data and the values of x, y, z are distinct, so no two values can be the same and all the other values i.e., 42, 59, 45 are repeated twice.

$\Rightarrow$ 37, 48, 43, 58, 69 and 56 cannot be the mode.
Hence, the correct answer is option d.