The mode and median of a data set is 89.7 and 32, respectively. What is the mean of the data set? (Use empirical formula.)

Correct option is D

Given:

Mode = 89.7

Median = 32

Formula Used:

Mode =  3 × Median - 2 × Mean 

can be written as;

Mean = $$\frac{3 \times \text{Median} - \text{Mode}}{2}$$​​

Solution:

Mean = $$\frac{3 \times 32 - 89.7}{2}$$​​

​$$= \frac{96 - 89.7}{2}$$​​

$$= \frac{6.3}{2}$$ = 3.15

Thus, the mean of the data set is 3.15