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

Statistics

Solution:

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 $x 8$, 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.