If the mode of the following data is 15, then the value of x is: $10,11,12,10,15,14,15,13,12,\mathrm{x},9,7$

The mode in statistics is the most frequently observed value in a set of data.

The mode of the normal distribution has the same value as the mean and median.

In many cases, the modal value will differ from the data's average value.

The mode is the value which occurs the most often in a given set of data. In the data set provided here, the mode is 15 , hence 15 should occur the most number of times.

$10,11,12,10,15,14,15,13,12,x,9,7$

Excluding $\mathrm{x}$and arranging these numbers in ascending order,

$7,9,10,10,11,12,12,13,14,15,15$

Here 10,12 and 15 are occurring twice.

Since 15 is the mode, it should occur more than twice.

Therefore, the value of x should be 15 if the value of mode is 15 .