MATHEMATICS [4 marks sum]

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, or 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

The marks obtained by 35 students in an examination are given below :
370, 290, 318, 175, 170, 410, 378, 405, 380, 375, 315, 305, 325, 275, 241, 288, 261, 355, 402, 380, 178, 253, 428, 240, 210,175,154, 405, 380, 370, 306, 460, 328, 440, 425
From a cumulative frequency table with class intervals of length 50.

The weights in grams of 50 apples picked at random from a consignment are as follows : 131, 113, 82, 75, 204, 81, 84, 118, 104, 110, 80, 107, 111, 141, 136, 123, 90, 78, 90, 115, 110, 98, 106, 99, 107, 84, 76, 186, 82, 100, 109, 128, 115, 107, 115, 119, 93, 187, 139, 129, 130, 68, 195, 123, 125, 111, 92, 86, 70, 126
Form the grouped frequency table by dividing the variable range into intervals of equ width of 20 g.

The weekly wages (in rupees) of 30 workers in a factory are 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.

Convert the following frequency distribution to exclusive form :

Class-interval	Frequency
30 - 34	7
35 - 39	9
40 - 44	13
45 - 49	6
50 - 54	3
55 - 59	10

Use this table to find :
(i) The true class-limits of the fourth class-interval
(ii) The class-boundaries of the fifth class-interval
(iii) The class-mark of the third class-interval
(iv) The class-size of the sixth class-interval.

Construct a frequency table from the following data :

Age (in years)	Number of students
Less than 10	6
Less than 20	14
Less than 30	30
Less than 40	52
Less than 50	65
Less than 60	70

Construct a frequency distribution table from the following cumulative frequency distribution :

Class-interval	Cumulative frequency
0 - 8	8
8 - 16	21
16 - 24	26
24 - 32	33
32 - 40	42

Construct the cumulative frequency table from the frequency table given below :

Class-interval	0 - 6	6 - 12	12 - 18	18 - 24	24 - 30
Frequency	7	11	8	14	12

The weights in grams of 50 apples picked at random from a consignment are as follows :
131, 113, 82, 75, 204, 81, 84, 118, 104, 110, 80, 107, 111, 141, 136, 123, 90, 78, 90, 115, 110, 98, 106, 99, 107, 84, 76, 186, 82, 100, 109, 128, 115, 107, 115, 119, 93, 187, 139, 129, 130, 68, 195, 123, 125, 111, 92, 86, 70, 126
Form the grouped frequency table by dividing the variable range into intervals of equal width of 20 g.

The weekly wages (in rupees) of 30 workers in a factory are 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.

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