The mode and median of a data is 87.5 and 86, respectively. What is the mean of the data? (Use empirical formula.)

Correct option is A

Given:

Mode (M) = 87.5

Median (Me) = 86

Formula Used:

The empirical relationship between the mean (X̄), median (Me), and mode (M) is given by:

Mean (X̄) = (3 × Median - Mode) / 2

Solution:

Substitute the given values into the formula:

​$$\bar{X} = \frac{3 \times 86 - 87.5}{2} \\\ \\\bar{X} = \frac{258 - 87.5}{2} \\\ \\\bar{X} = \frac{170.5}{2} = 85.25$$​​

Therefore, the mean of the data is 85.25.