The mode value is $30$ . Find the approximate value of $p$ from the following table $:$
Score $12 - 14$ $14 - 16$ $16 - 18$ $18 - 20$
Frequency $2$ $4$ P $8$

5

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9

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7

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8

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Solution

The correct option is D $7$
Mode $= 30 30 = l + (\frac{f_{1} - f_{0}}{{2 f}_{1} - f_{0 -} f_{2}}) \times h 30 = 16 + (\frac{p - 4}{2 p - 4 - 8}) \times 2 14 = (\frac{p - 4}{2 p - 12}) \times 2 12 p - 84 = p - 4 13 p = 80 p = \frac{80}{13} = 6.1 p = 7 A n s$

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Similar questions

:

Score	$14$	$16$	$18$	$20$
Frequency	$2$	$4$	$4$	$8$

Group	$6 - 8$	$8 - 10$	$10 - 12$	$12 - 14$	$14 - 16$	$16 - 18$	$18 - 20$
Frequencies	$12$	$20$	$16$	$15$	$17$	$8$	$12$

116

^{'} X^{'}

:

Age	$4 - 8$	$8 - 12$	$12 - 16$	$16 - 20$	$20 - 24$
Number of children	$2$	$4$	X	$2$	$1$

Wages(Rs)	$20$	$18$	$16$	$14$	$12$	$10$	$8$	$6$
Frequency	$2$	$4$	$9$	$18$	$27$	$25$	$14$	$1$

Item	$8$	$10$	$12$	$14$	$16$	$18$
Frequency	$10$	$5$	$11$	$7$	$8$	$9$

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