Mode of a data is given by : - Vidyadip

MCQ

Mode of a data is given by :

A
$\text{l}-\Big(\frac{\text{f}_1-\text{f}_0}{2\text{ f}_1-\text{f}_0-\text{f}_2}\Big)\times\text{h}$
✓
$\text{l}+\Big(\frac{\text{f}_1-\text{f}_0}{2\text{ f}_1-\text{f}_0-\text{f}_2}\Big)\times\text{h}$
C
$\text{l}-\Big(\frac{\text{f}_0-\text{f}_1}{2\text{ f}_1-\text{f}_0-\text{f}_2}\Big)\times\text{h}$
D
$\text{h}+\Big(\frac{\text{f}_1-\text{f}_0}{2\text{ f}_1-\text{f}_0-\text{f}_2}\Big)\times\text{l}$

✓

Answer

Correct option: B.

$\text{l}+\Big(\frac{\text{f}_1-\text{f}_0}{2\text{ f}_1-\text{f}_0-\text{f}_2}\Big)\times\text{h}$

Mode of data is given by
$\text{l}+\Big(\frac{\text{f}_1-\text{f}_0}{2\text{ f}_1-\text{f}_0-\text{f}_2}\Big)\times\text{h}$
Where $l =$ lower limit of the modal class
$f_1 =$ frequency of the modal class
$f_0 =$ frequency of the class preceding the modal class
$f_2 =$ frequency of the class succeeding the modal class
$h =$ size of the class interval $($assuming all class sizes to be equal$)$

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