In the formula for mode of a grouped data, mode =l+ f_1-f_0 2f_2-… - Vidyadip

MCQ

In the formula for mode of a grouped data, $\text{ mode} =\text{l}+\left \{\frac {\text{f}_1-\text{f}_0}{2\text{f}_2-\text{f}_0-\text{f}_2}\right \}\times\text{h}$ where symbols have their usual meaning $\mathrm{f}_0=$ represents:

A
Frequency of modal class
B
Frequency of median class
✓
Frequency of the class preceding the modal class
D
Frequency of the class succeeding the modal clas

✓

Answer

Correct option: C.

Frequency of the class preceding the modal class

Frequency of the class preceding the modal class

Solution:
In the formula for mode of a grouped data,
$\text{ mode} =\text{l}+\left \{\frac {\text{f}_1-\text{f}_0}{2\text{f}_2-\text{f}_0-\text{f}_2}\right \}\times\text{h}$ where symbols have their usual meaning
fo represents Frequency of the class preceding the modal classwhere
$\mathrm{f}=$ Frequency,
1 = Lowest value of the modal range,
$\mathrm{f}_1=$ Frequency of modal class,
$\mathrm{f}_2$ Frequency of class succeeding the modal class and
$\mathrm{f}_0=$ Frequency of class preceding the modal class. Hence, option C is correct.

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