The median and mode of a distribution are $25{\cdot}2$ and $26{\cdot}1$ respectively. The mean of the distribution is :
✅ Answer & Solution
✅ Correct Answer: A
Step 1: Use the empirical relationship
$$\text{Mode} = 3\,\text{Median} - 2\,\text{Mean}$$
Step 2: $$26{\cdot}1 = 3(25{\cdot}2) - 2\,\text{Mean}$$
Step 3: $$26{\cdot}1 = 75{\cdot}6 - 2\,\text{Mean} \Rightarrow 2\,\text{Mean} = 49{\cdot}5$$
Step 4: $$\text{Mean} = 24{\cdot}75$$
Correct option : (A)
✅ Verified by Super Admin
