Question

In a perfectly symmetrical distribution the mode and the mean are 42 and 49 respectively.The approximate median of this distribution is -

Answer 1

we know, $\boxed{\boxed{\text{mode}\pm2\text{mean}=3\text{median}}}$

Given in a perfectly symmetrical distribution, 
the mode = 42
and the mean = 49 
we have to find approximate value of the median.
so, $\text{mode}\pm2\text{mean}=3\text{median}$

42 ± 2 × 49 = 3 × median 

42 - 2 × 49 = 3 × median [ ignored ] 

=> 42 + 2 × 49 = 3 × median 

=> 42 + 98 = 3 × Median 

=> 140/3 = median 

median = 46.67 ≈ 47 

hence, median is 47