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.

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Solution

Sol:

Minimum observation is 6 and maximum observation is 23. So the range is 23-6 = 17

The classes of equal size covering the given data are: (6-9), (9-12), (12-15), (15-18),(18-21), (21-24).

Thus the frequency distribution may be given as under:

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Similar questions

The marks obtained by 40 students of a class in an examination are given below.
3, 20, 13, 1, 21, 13, 3, 23, 16, 13, 18, 12, 5, 12, 5, 24, 9, 2, 7, 18, 20,3,10, 12, 7, 18, 2, 5, 7, 10, 16, 8, 16, 17, 8, 23, 24, 6, 23, 15.
Present the data in the form of a frequency distribution using equal class size, one such class being 10-15 (15 not included).

Q. Find the mode of:

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

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

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. What is the cumulative frequency of the modal class of the following distribution?

Class	3−6	6−9	9−12	12−15	15−18	18−21	21−24
Frequency	7	13	10	23	4	21	16

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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

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

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.

Sol: Minimum observation is 6 and maximum observation is 23. So the range is 23-6 = 17 The classes of equal size covering the given data are: (6-9), (9-12), (12-15), (15-18),(18-21), (21-24). Thus the frequency distribution may be given as under:

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.

Sol:

Minimum observation is 6 and maximum observation is 23. So the range is 23-6 = 17

The classes of equal size covering the given data are: (6-9), (9-12), (12-15), (15-18),(18-21), (21-24).

Thus the frequency distribution may be given as under:

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