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).

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Solution

Sol:

Minimum observation is 1 and maximum observation is 24. The classes of equal size from the given data are:

(0-5), (5-10), (10-15), (15- 20), (20-25)

Thus, the frequency distribution may be given as under:

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Similar questions

Q. The marks obtained by 40 students of class VIII in an examination are given below:

16, 17, 18, 3, 7, 23, 18, 13, 10, 21, 7, 1, 13, 21, 13, 15, 19, 24, 16, 2, 23, 5, 12, 18, 8, 12, 6, 8, 16, 5, 3, 5, 0, 7, 9, 12, 20, 10, 2, 23

Divide the data into five groups, namely, 0-5, 5-10, 10-15, 15-20 and 20-25, where 0-5 means marks greater than or equal to 0 but less than 5 and similarly 5-10 means marks greater than or equal to 5 but less than 10, and so on. Prepare a frequency table for the grouped data.

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.

Question 93

The marks obtained (out of 20) by 30 students of a class in a test are as follows :
14, 16, 15, 11, 15, 14, 13, 16, 8, 10, 7, 11, 18, 15, 14,
19, 20, 7, 10, 13, 12, 14, 15, 13, 16, 17, 14, 11, 10, 20.
Preparing a frequency distribution table for the above data using class intervals of equal width in which one class interval is 4-8 (excluding 8 and including 4).

Q. Marks obtained by 24 students in English and Statistics in a class are given below . Prepare two-way frequency distribution table.

S.No	1	2	3	4	5	6	7	8	9	10	11	12
Marks in English	22	23	23	23	23	24	23	25	22	23	24	24
Marks in Statistics	16	16	18	16	16	17	16	19	16	18	18	17

S.No	13	14	15	16	17	18	19	20	21	22	23	24
Marks in English	23	25	23	22	27	27	26	28	25	24	23	25
Marks in Statistics	16	17	17	17	15	16	18	19	19	16	17	19

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

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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

Sol: Minimum observation is 1 and maximum observation is 24. The classes of equal size from the given data are: (0-5), (5-10), (10-15), (15- 20), (20-25) Thus, the frequency distribution may be given as under:

Sol:

Minimum observation is 1 and maximum observation is 24. The classes of equal size from the given data are:

(0-5), (5-10), (10-15), (15- 20), (20-25)

Thus, the frequency distribution may be given as under:

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