The following data shows monthly savings of 100 families . Calculate the mode of the given frequency distribution. M o n t h l y s a v i n g s ( R s ) N u m b e r o f f a m i l i e s 1000 − 2000 14 2000 − 3000 15 3000 − 4000 21 4000 − 5000 27 5000 − 6000 25 Options: A . &nbsp 4790 B . &nbsp 4760 C . &nbsp 4750 D . &nbsp 4780

The following data shows monthly savings of 100 families . Calculate the mode

Question

The following data shows monthly savings of 100 families . Calculate the mode of the given frequency distribution.

$\begin{matrix} M o n t h l y s a v i n g s (R s) & N u m b e r o f f a m i l i e s 1000 - 2000 & 14 2000 - 3000 & 15 3000 - 4000 & 21 4000 - 5000 & 27 5000 - 6000 & 25 \end{matrix}$

Options:

A . 4790

B . 4760

C . 4750

D . 4780

Answer: Option C
:
C

Modal class is 4000-5000 within

$f_{1}$ = 27, $f_{0}$ = 21, $f_{2}$ = 25, I = 4000, h = 1000

Mode = l + $\frac{f_{1} - f_{0}}{2 f_{1} - f_{0} - f_{2}} \times h$

Mode = 4000 + $\frac{6}{8}$ $\times$ 1000

= 4750

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