Question

xi=0,1,2,3,4,5,6,7. fi =1,4,10,50,34,15,4,2. find mode and median​

Answer 1

Given :

$x_i$ = 0,1,2,3,4,5,6,7 And,

$f_i$ = 1,4,10,50,34,15,4,2

To Find :

What are the values of mode and median ?

Solution ;

We know that mode is defined as the value that occurs most no. of times or having the highest frequency .

Now since the frequency is given , so we can easily say that 3 is the mode because its frequency is maximum i.e. 50 .

Since $x_i$ and $f_i$ so we can also write c.f. , in order it will be as :

1,5,15,65,99,114,118,120

We have the formula for median as :

Median $= \frac{[( n_{\sum \frac{f_i}{2}}) + (n_{\sum \frac{f_i}{2} + 1})}{2}$

So, as per the this formula , median will be :

$Median = \frac{n_{60} + n_{61}}{2}$

             $=\frac{50 + 50 }{2}$

             = 50

So, the mode is 3 and median is 50 .