The following is the formula for finding the mode of grouped data- State what p and q are- Mode -p-q-f0-q-f0-q-f2- hA- p - l- lower limit of modal class- q - f 1- frequency of modal classB- p -1- slope- q - f 1- frequency of lower classC- p -1- middle value of modal class- q - f 1- frequency of modal classD- p-1- size of class interval- q-f1- frequency of modal class

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Mode for Grouped Data

The following...

Question

The following is the formula for finding the mode of grouped data. State what p and q are.
Mode = $p + \frac{q - f_{0}}{(q - f_{0}) + (q - f_{2})} \times h$

p = l, lower limit of modal class; $q = f_{1}$ , frequency of modal class

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p = l, middle value of modal class; $q = f_{1}$ , frequency of modal class

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p = l, size of class interval; $q = f_{1}$ , frequency of modal class

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p = l, slope; $q = f_{1}$ , frequency of lower class

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Solution

The correct option is A
p = l, lower limit of modal class; $q = f_{1}$ , frequency of modal class

The formula for mode is given by,
Mode = $l + \frac{f_{1} - f_{0}}{(f_{1} - f_{0}) + (f_{1} - f_{2})} \times h, w h e r e,$
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.

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Similar questions

In the formula for finding mode of a grouped data,

Mode = $X + (\frac{A - B}{2 A - B - C}) \times h$

$\begin{matrix} i) X & a) f r e q u e n c y o f t h e c l a s s p r e c e d i n g t h e m o d a l c l a s s i i) A & b) L o w e r l i m i t o f t h e m o d a l c l a s s i i i) B & c) frequency of the class succeeding the modal class i v) C & d) f r e q u e n c y o f t h e m o d a l c l a s s \end{matrix}$

Match the options.

Q. The following is the formula for finding the mode of grouped data. State what p and q are.

M o d e = p + \frac{q - f_{0}}{(q - f_{0}) + (q - f_{2})} \times h

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The following is the formula for finding the mode of grouped data. State what p and q are. Mode = p+q−f0(q−f0)+(q−f2)×h

The following is the formula for finding the mode of grouped data. State what p and q are.
Mode = $p + \frac{q - f_{0}}{(q - f_{0}) + (q - f_{2})} \times h$