Calculate the approximate value of mode for the following data $:$
Class-Interval $3 - 6$
$6 - 9$
$9 - 12$
$12 - 15$
$15 - 18$
Frequeency
$2$
$3$
$1$
$10$
$5$

14

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15

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16

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17

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Solution

The correct option is C $14$
According to ques, clearly modal value class is $12 - 15$ as its frequency is the highest.
$⟹ l = 12$ (lower limit of modal class)
$f_{0} = 1$ (frequency of the class preceding the modal class)
$h =$ upper limit $-$ lower lmit $= 3$ (width of class interval of modal class)
$f_{1} = 10$ (frequency of modal class)
$f_{2} = 5$ (frequency of the class succeding the modal class)
Mode $= l + \frac{f_{1} - f_{0}}{2 f_{1} - f_{0} - f_{2}} \times h = 12 + \frac{10 - 1}{20 - 1 - 5} \times 3 = 13.9 ≃ 14$
Mode $= 14$

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Class-Interval	$3 - 6$	$6 - 9$	$9 - 12$	$12 - 15$	$15 - 18$
Frequeency	$2$	$3$	$1$	$10$	$5$

28	17	15	22	29	21	23	27	18	12	7	2	9	4
1	8	3	10	5	20	16	12	8	4	33	27	21	15
3	36	27	18	9	2	4	6	32	31	29	18	14	13
15	11	9	7	1	5	37	32	28	26	24	20	19	25
19	20	6	9

28	17	15	22	29	21	23	27	18	12	7	2	9	4
1	8	3	10	5	20	16	12	8	4	33	27	21	15
3	36	27	18	9	2	4	6	32	31	29	18	14	13
15	11	9	7	1	5	37	32	28	26	24	20	19	25
19	20	6	9

Calculate the approximate value of mode for the following data:Class-Interval3−66−99−1212−1515−18Frequeency231105

Calculate the approximate value of mode for the following data $:$
Class-Interval $3 - 6$
$6 - 9$
$9 - 12$
$12 - 15$
$15 - 18$
Frequeency
$2$
$3$
$1$
$10$
$5$

28	17	15	22	29	21	23	27	18	12	7	2	9	4
1	8	3	10	5	20	16	12	8	4	33	27	21	15
3	36	27	18	9	2	4	6	32	31	29	18	14	13
15	11	9	7	1	5	37	32	28	26	24	20	19	25
19	20	6	9