Question

Find the mean of the date using an empirical formula when it is given that mode is $50.5$ and median in $45.5$.

Answer 1

Empirical formula$\to$

Mode$=3$Median$-2$Mean

Given: Mode$=50.5:$Median$=45.5$

To find: Mean

Put values of Mean, Mode and Median in the formula

$50.5=3\left(45.5\right)-2$Mean

$50.5-136.5=-2$Mean

$-2$Mean $=-86$

Mean $=43$.