Mathematics
The marks obtained by 40 students of a class in an examination are given below. Present the data in the form of a frequency distribution using equal class-size, one such class being 10 - 15(15 not included).
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, 21, 6, 23, 15
Answer
Since the given class is 10 - 15 (15 not included)
so, the class size = 5
Since, the maximum marks of the student equals to 24, thus the class intervals will be :
0 - 5, 5 - 10, 10 - 15, 15 - 20, 20 - 25
Frequency distribution table :
| Marks (Class Interval) | Tally-Marks | Frequency |
|---|---|---|
| 0 – 5 | 6 | |
| 5 – 10 | 10 | |
| 10 – 15 | 8 | |
| 15 – 20 | 8 | |
| 20 – 25 | 8 | |
| Total | 40 |
Related Questions
Define the following terms:
(i) Variable
(ii) Class-interval
(iii) Class-size
(iv) Class-mark
(v) Class-limits
(vi) True class-limits
(Vii) Frequency of a class
(viii) Cumulative frequency of a class
Following data gives the number of children in 40 families :
1, 2, 6, 5, 1, 3, 2, 6, 2, 3, 4, 2, 0, 4, 4, 3, 2, 2, 0, 0, 1, 2, 2, 4, 4, 3, 2, 1, 0, 5, 1, 2, 4, 3, 4, 1, 1, 6, 2, 2
Represent it in the form of a frequency distribution.
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
The weekly wages (in rupees) of 30 workers in a factory given below :
630, 635, 690, 610, 635, 636, 639, 645, 698, 690, 620, 660, 632, 633, 655, 645, 604, 608, 612, 640, 685, 635, 636, 678, 640, 668, 690, 606, 640, 690
Represent the data in the form of a frequency distribution with class size 10.