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Standard X

Mathematics

Finding Mode for Grouped Data Wen Class Intervals Are Not Given

Find the mode...

Question

Find the mode of:
$x$
$15$
$16$ $17$
$18$
$19$
$20$ $21$
$22$
$23$
$f$
$6$
$7$
$9$
$13$
$10$
$12$ $8$
$0$
$4$

17

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18

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20

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Solution

The correct option is A $18$
We know that, mode is the observation with the highest frequency.

In the given data, the highest frequency value is $13$ . This value corresponds to the observation $18$ .

Hence, the mode of the given data is $18$ .

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Similar questions

Q. The average frequency is

18

. Find the missing frequency

f

Class Interval	Frequency
$11 - 13$	$7$
$13 - 15$	$6$
$15 - 17$	$9$
$17 - 19$	$13$
$19 - 21$	$f$
$21 - 23$	$5$
$23 - 25$	$4$

Construct a frequency table for the following ages (in years) of 30 students using equal class intervals, one of them being 9-12, where 12 is not included.
18, 12, 7, 6, 11, 15, 21, 9, 8, 13, 15, 17, 22, 19, 14, 21, 23, 8, 12, 17,15, 6, 18, 23, 22, 16, 9, 21, 11, 16.

Prepare a frequency distribution by inclusive method taking class interval of 7 from the following data:

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

Q. In a survey, it was found that 64 families bought milk in the following quantities in a particular month. Prepare a frequency distribution with classes as 5−9, 10−14 etc.

19	16	22	9	22	12	39	19	6	24	16	18	7	17	20	25
10	24	20	21	10	7	18	28	14	23	25	34	22	14	33	23
13	36	11	26	11	37	30	13	22	21	32	21	31	17	16	23
15	27	17	21	23	14	24	8	9	15	29	20	18	28	26	12

Q. The mean of the following distribution is

18

. Find the frequency f of the class

19 - 21

Class	$11 - 13$	$13 - 15$	$15 - 17$	$17 - 19$	$19 - 21$	$21 - 23$	$23 - 25$
Frequency	$3$	$6$	$9$	$13$	$f$	$5$	$4$

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$x$	$15$	$16$	$17$	$18$	$19$	$20$	$21$	$22$	$23$
$f$	$6$	$7$	$9$	$13$	$10$	$12$	$8$	$0$	$4$

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

19	16	22	9	22	12	39	19	6	24	16	18	7	17	20	25
10	24	20	21	10	7	18	28	14	23	25	34	22	14	33	23
13	36	11	26	11	37	30	13	22	21	32	21	31	17	16	23
15	27	17	21	23	14	24	8	9	15	29	20	18	28	26	12

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

19	16	22	9	22	12	39	19	6	24	16	18	7	17	20	25
10	24	20	21	10	7	18	28	14	23	25	34	22	14	33	23
13	36	11	26	11	37	30	13	22	21	32	21	31	17	16	23
15	27	17	21	23	14	24	8	9	15	29	20	18	28	26	12

Find the mode of:x151617181920212223f 6 7 9 13 10 12 80 4

The correct option is A 18We know that, mode is the observation with the highest frequency.In the given data, the highest frequency value is 13. This value corresponds to the observation 18.Hence, the mode of the given data is 18.

Find the mode of:
$x$
$15$
$16$ $17$
$18$
$19$
$20$ $21$
$22$
$23$
$f$
$6$
$7$
$9$
$13$
$10$
$12$ $8$
$0$
$4$

The correct option is A $18$
We know that, mode is the observation with the highest frequency.

In the given data, the highest frequency value is $13$ . This value corresponds to the observation $18$ .

Hence, the mode of the given data is $18$ .

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

19	16	22	9	22	12	39	19	6	24	16	18	7	17	20	25
10	24	20	21	10	7	18	28	14	23	25	34	22	14	33	23
13	36	11	26	11	37	30	13	22	21	32	21	31	17	16	23
15	27	17	21	23	14	24	8	9	15	29	20	18	28	26	12