Find the incorrect formula from the following: - Vidyadip

MCQ

Find the incorrect formula from the following:

A
$ \text{mode}=\text{L}+\Big(\frac{\text{f}\text{m}-\text{f}1}{\text{f}\text{m}-\text{f}1-\text{f}2}\Big)\text{h}$
B
$\text{Mean} = \frac{\sum {\text{ fixi }} }{\sum { \text{xi }} }$
✓
$\overline{\text{x}}= \frac{\sum {\text{ fixi }} }{\sum { \text{fi }} }$
D
$\overline{\text{x}}= \frac{\sum {\text{ fi }} }{\sum { \text{fixi }} }$

✓

Answer

Correct option: C.

$\overline{\text{x}}= \frac{\sum {\text{ fixi }} }{\sum { \text{fi }} }$

$\text{ A Median} = \text{L} + \begin{pmatrix} \frac{N}{2} - \text{c.f.} \end{pmatrix} \frac{\text{h}}{\text{f}} , $
$ \text{mode}=\text{L}+\Big(\frac{\text{f}\text{m}-\text{f}1}{\text{f}\text{m}-\text{f}1-\text{f}2}\Big)\text{h}$ Where,
$L$ is lower boundary of median class,
$N$ is sum of frequencies, $c.f.$ is cumulative frequency,
$h$ is width of classes, $f$ is frequency of mode class,
$\text{f}_\text{m}$ is frequency of modal class,
$\text{f}_\text{1}$ is frequency of pre$-$modal class,
$\text{f}_\text{2}$ is frequency of post$-$modal class Mean is
given $= \frac{\sum {\text{ fixi }} }{\sum { \text{fi }} }$
Thus, Mean given in option $C$ is incorrect.

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