The mode and median of a dataset is 52.7 and 65, respectively. What is the mean of the dataset? (Use empirical formula, and round off your answer to one decimal place.)​

Correct option is A

Given:

Mode = 52.7

Median = 65

Find the Mean (round to 1 decimal place)

Formula Used:
​$$\text{Mode} = 3 \times \text{Median} - 2 \times \text{Mean}$$​​
​$$\text{Mean} =\dfrac{3 \times \text{Median} - \text{Mode}}{2}$$​​

Solution:
​$$\text{Mean}= \frac{3 \times 65 - 52.7}{2}$$​​
=$$\frac{195 - 52.7}{2}$$​​

​$$= \frac{142.3}{2}$$​​
= 71.15