Question

Which of the following expressions is used to determine the mode?

• A. $l+\left(\frac{f_1-f_0}{2f_1-f_0-f_2}\right)\times h$
• B. $l+\left(\frac{f_1-f_0}{f_1-f_0-f_2}\right)\times h$
• C. $l+\left(\frac{f_1-f_0}{2f_2-f_0-f_1}\right)\times h$
• D. $\frac{{2f}_1-f_0}{{2f}_1-f_0-f_2}$

Answer 1

The correct option is A

$l+\left(\frac{f_1-f_0}{2f_1-f_0-f_2}\right)\times h$

$l+\left(\frac{f_1-f_0}{2f_1-f_0-f_2}\right)\times h$ is used to determine the mode.
$f_1$ represents the frequency of the modal class.
Also,
$l=$lower boundary of the modal class
$h=$ size of the modal class interval
$f_0=$ frequency of the class preceding the modal class
$f_2=$ frequency of the class succeeding the modal class.