CBSE2026Class Class 10 · Mathematics1 Marks · Long✅ Verified
Assertion (A): If the value of mode and mean for a distribution is 50 and 56 respectively, then the value of median is 54.
Reason (R): Median = (1/3)(Mode - 2 Mean)
✅ Answer & Solution
The correct empirical relation is $Mode = 3Median-2Mean$, i.e. $Median=\frac13(Mode+2Mean)=\frac13(50+112)=\frac{162}{3}=54$. So Assertion is TRUE. But Reason states Median$=\frac13$(Mode $-$ 2Mean), which is the WRONG formula (it should be Mode + 2Mean). So Reason is FALSE.
