If the mean and mode of some data are 4 and 10 respectively, its median will be -

Correct option is C

The correct answer is (c) 6. The relationship between the mean, median, and mode of a data set is given by the empirical formula:
Mode=3Median−2Mean
Substitute the values:
10 = 3Median- 2*4
10 = 3Median-8
10+8 = 3 Median
Median=18/3 ​= 6
Thus, the median is 6.