# Mathmatical QuestionsQ.1. Followingare the marks obtained by students in sec. A and sec B compare the range of marks of student in two sections . marks (section A) : 20 25 28 45 15 30marks(section B): 45 52 36 42 28 25Q.2. Calculate range and coefficient of range for the following data : Income (Rs) : 50 70 80 90 100 120130 150No.of Workers : 2 8 12 7 4 3 8 6Q.3 Calculate range and cofficient of range for the following distribution : Class : 1-5 6-1011-15 16-2021-25 26-30frequency : 2 8 15 35 20 10Q.3. Calculate quartile deviation and its cofficient of rajesh's income .markas : 12 34 5 6 7 8 9 19 1112income(Rs) : 239 250 251 251 257 258 260 261262 262273 275Q.4.Calculate range and cofficientof range for the following data :Income (Rs) : 50 70 80 90100 120 130 150No.of Workers : 2 8 12 74 3 8 6Q.5.CalculateQuartile andcofficient of Quartile Deviation of the foolowing data :markas : 5-9 10-14 15-19 20-24 25-29 30-34 35-39students : 1 3 8 5 4 2 2Q.6. Calculate meandeviation from (1) arithmeticmean (2) median :marks: 7 4 10 9 15 12 7 9 7Q.7. Calculate (a) median cofficient of dispersion , and (b) mean cofficient of dispersion from the following data : size of item : 4 6 8 10 12 14 16 frequency : 2 4 5 3 2 1 4

Solution 3

The series given in the question is inclusive series. To calculate Range and its Coefficient, we first convert it into exclusive form.

ClassClassFrequency

1-5

0.5-5.5

2

6-10

5.5-10.5

8

11-15

10.5-15.5

15

16-20

15.5-20.5

35

21-25

20.5-25.5

20

26-30

25.5-30.5

10

Solution 5

The series given in the question is inclusive series. To calculate Quartile Deviation and its Coefficient, we first convert it into exclusive form.

Marks

Marks

Students

(f)

Cumulative Frequency

(c.f.)

5-9

4.5-9.5

1

1

10-14

9.5-14.5

3

4

15-19

14.5-19.5

8

12

20-24

19.5-24.5

5

17

25-29

24.5-29.5

4

21

30-34

29.5-34.5

2

23

25-39

34.5-39.5

2

25

Solution 6

(i) Mean Deviation through Arithmetic Mean

 Marks Frequency fx Deviation from Mean |d| f|d| 4 1 4 4.88 4.88 7 3 21 1.88 5.64 9 2 18 0.12 0.24 10 1 10 1.12 1.12 12 1 12 3.12 3.12 15 1 15 6.12 6.12

(ii) Mean Deviation through Median

 Marks Frequency Cumulative Frequency Deviation from Median |d'| f|d'| 4 1 1 5 5 7 3 4 2 6 9 2 6 0 0 10 1 7 1 1 12 1 8 3 3 15 1 9 6 6

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