FREQUENCY DISTRIBUTION

FREQUENCY DISTRIBUTION
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1) The age of children in my colony. Draw the frequency distribution.
7   8    5    4    9    8    5    7    6    8
9   6    7    9    8    7    9    9    6    5
8   9    4    5    5    8    9    6.

2) 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.

3) 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, 14, 1, 21, 14, 4, 24, 16, 14, 18, 12, 6, 13, 5, 25, 9, 3, 7, 19, 20, 4, 10, 13, 7, 18, 2, 5, 8, 10, 16, 8, 17, 18, 8, 24, 21, 6, 23, 15.

4) Construct a frequency table for the following ages (in years) of 30 students using equal
class- interval, one of them being 9-12, where 12 is not included.
18, 12, 8, 7, 11, 16, 21, 9, 6, 14, 16, 17, 23, 19, 15, 21, 24, 9, 13, 18, 15, 7, 18, 24, 23, 17, 9, 21, 11, 16.

5) Construct a frequency table with equal Class- interval from the following data on the monthly wages(in rupees) of 28 labourers working in a factory, taking one of the class interval as 210-230 (230 included):
220, 268, 258, 242, 210, 268, 272, 242, 311, 290, 300, 320, 319, 305, 304, 319, 307, 293, 255, 279, 210, 240, 280, 317, 307, 215, 257, 237

6) The weekly wages(in rupees) of 30 workers in a factory are given below:
630, 636, 690, 610, 635, 637, 639, 646, 698, 690, 620, 660, 633, 634, 656, 646, 605, 609, 613, 640, 686, 635, 637, 679, 640, 668, 690, 607, 640, 690.
Represent the data in the form of a frequency distribution with class size 10.

7) Given marks obtained by some  students in an examination:
3, 25, 48, 23, 18, 14, 10, 47, 38, 45, 11, 20, 40, 39, 36, 37, 34, 35, 5, 6, 17, 21,39, 43,28, 43, 25, 12, 3, 8, 17, 21,, 48, 34, 16, 20, 19, 32, 19,  21, 28, 32, 21, 20, 23.
Arrange the data in ascending order and present it was as a grouped data in:
A) Discontinues Interval form, taking class-intervals 1-10, 11-20, etc
B) Continuous Interval form, taking class- interval 1-10, 10-20 ..

8) The electric bills (in rupees) of houses in a locality are given:
147, 166, 135, 179, 176, 116, 115, 155, 154, 156, 121, 115, 156, 176, 140, 141, 189, 190, 177, 209, 212, 143, 203, 210, 189, 177, 213, 119, 198, 145, 134, 133, 197, 185.
Construct a frequency distribution table with class size 10.

9)  Convert the following distribution from discontinuous to continuous form:
     Marks:         Frequency
      1-10                 7
     11-20                5
     21-30                9
     31-40               11
     41-50                6
     51-60               12
     61-70                4

10) Given the ages(in years) of 360 patients in a hospital.
Age(in years)  Number of patients
10-20                     90
20-30                     50
30-40                     60
40-50                     80
50-60                     50
60-70                     30
Construct the cumulative frequency table for the above data
also Construct
i) Mte than form
ii) Less than form

11) Construct the cumulative frequency table from the frequency table given below:
Class interval        Frequency
0-6                                7
6-12                             11
12-18                             8
18-24                            14
24-30                            12

12) Construct the  frequency table from the cumulative frequency table given below:
Class interval        Frequency
0- 8                               8
8-16                             21
16-24                            26
24-32                            33
32-40                            42

13) Construct a frequency table from the following data:
Age (in years)   No. 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

14) Convert the following distribution to exclusive form:
Class interval        Frequency
30-34                            7
35-39                           10
40-44                            15
45-49                             6
50-54                             2
55-59                             10
Use this table to find:
A) The true class limits of the fourth class interval.
B) The class-boundaries of the fifth Class interval
C) The class mark of the third class interval
D) The class size of the sixth class interval.