Question

The following is the formula for finding the mode of grouped data. State what p and q are.
$Mode=p+\frac{q-f_0}{(q-f_0)+(q-f_2)}\times h$

• A. p = l, slope; $q=f_1$, frequency of lower class
• B. p = l, size of class interval; $q=f_1$, frequency of modal class
• C. p = l, middle value of modal class; $q=f_1$, frequency of modal class
• D. p = l, lower limit of modal class; $q=f_1$, frequency of modal class

Answer 1

The correct option is D p = l, lower limit of modal class; $q=f_1$, frequency of modal class

The formula for mode is given by,
$Mode=l+\frac{f_1-f_0}{(f_1-f_0)+(f_1-f_2)}\times h,where,$
l = lower limit of modal class
h = size of class interval
$f_1$ = frequency of modal class
$f_0$ = frequency of class preceding modal class
$f_2$ = frequency of class succeeding modal class

So, p = l = lower limit of modal class
And, q = $f_1$ = frequency of modal class.