The measures of central tendency mean, mode, median are connected by a relation.

Options

A. mode=3 mean-2 median
B. mode = 2 median-3 mean
C. mode=3 median-2 mean
D. mode=3 median+ 2 mean

Answer

To solve the question regarding the relationship between the measures of central tendency: mean, median, and mode, we can follow these steps:

### Step-by-Step Solution:

1. **Understanding the Relationship**:
We start with the known relationship between mean (M), median (Med), and mode (Mo):
\[ 2M = 3 \text{Med} - \text{Mo} \]

2. **Rearranging the Formula**:
To express mode in terms of mean and median, we can rearrange the equation:
\[ \text{Mo} = 3 \text{Med} - 2M \]

3. **Identifying the Correct Option**:
We need to check which option corresponds to the rearranged formula. The correct expression we derived is:
\[ \text{Mo} = 3 \text{Med} - 2M \]
If option 3 states this same relationship, then option 3 is the correct answer.

4. **Conclusion**:
Therefore, the correct option that represents the relationship between mean, median, and mode is option 3.