Question

Formula of mode is given by​

Answer 1

$\huge\blue\star\underbrace\mathtt{\underline{\underline\red{Answer}}}$

$\large{\pink{\texttt{Formula of mode :-}}}$

$\large{\blue{\boxed{\red{\mathsf{Mode = I + \frac{f_1 - f_0}{2f_1 - f_0 - f_2} \times h }}}}}$

Answer 2

$\huge{\underline{\underbrace{\mathcal\color{gold}{Answer}}}}$

Mode Formula:-

• In the case of grouped frequency distribution, calculation of mode just by looking into the frequency is not possible.

• To determine the mode of data in such cases we calculate the modal class.

• Mode lies inside the modal class. The mode of data is given by the formula:

$\boxed{\bold{\blue{mode=\ell+(\dfrac{f_{1}-f_{0}}{2f_{1}-f_{0}-f_{2}})×h } }}$ 

Where,

l = lower limit of the modal class

h = size of the class interval

f1 = frequency of the modal class

f0 = frequency of the class preceding the modal class

f2 = frequency of the class succeeding the modal class