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

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

4790

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4760

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4750

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4780

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Solution

The correct option is C
4750

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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The following data shows monthly savings of 100 families . Calculate the mode of the given frequency distribution. Monthly savings(Rs) Number of families 1000−2000142000−3000153000−4000214000−5000275000−600025

The correct option is C 4750 Modal class is 4000-5000 within f1 = 27, f0 = 21, f2 = 25, I = 4000, h = 1000 Mode = l + f1−f02f1−f0−f2×h Mode = 4000 + 68×1000 = 4750

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

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

The correct option is C
4750

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