The mode and median of a data set is 28.4 and 88, respectively. What is the mean of the data set? (Use empirical formula.)

Correct option is C

Given:

Mode = 28.4

Median = 88

Formula Used:

Mode = 2 × Mean - 3 × Median 

can be written as;

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

Solution:

Mean = $$\frac{3 \times 88 - 28.4}{2}$$​​

​$$= \frac{264 - 28.4}{2}$$​​

$$= \frac{235.6}{2}$$​ = 117.8

Thus, the mean of the data set is 117.8