Question

The mode of the observations $2,5,2,8,8,7,2$, $7,8,5,2,5,8,x$, and $5$ cannot be __

• A. 2
• B. 5
• C. 7
• D. 8

Answer 1

Answer: (C)

If $x=2$, then mode is $2(\because =2$ occurs 5 times).
If $x=5$, then mode is $5(\because =5$ occurs 5 times).
If $x8$, then mode is $8(\because =8$ occurs 5 times).
If $x=7$, then mode cannot be $7$ as$7$ occurs $3$ times and other observations occur $4$ times each.