Mathmatical Questions

Q.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 30

marks(section B): 45 52 36 42 28 25

Q.2. Calculate range and coefficient of range for the following data :

Income (Rs) : 50 70 80 90 100 120130 150

No.of Workers : 2 8 12 7 4 3 8 6

Q.3 Calculate range and cofficient of range for the following distribution :

Class : 1-5 6-1011-15 16-2021-25 26-30

frequency : 2 8 15 35 20 10

Q.3. Calculate quartile deviation and its cofficient of rajesh's income .

markas : 12 34 5 6 7 8 9 19 1112

income(Rs) : 239 250 251 251 257 258 260 261262 262273 275

Q.4.Calculate range and cofficientof range for the following data :

Income (Rs) : 50 70 80 90100 120 130 150

No.of Workers : 2 8 12 74 3 8 6

Q.5.CalculateQuartile andcofficient of Quartile Deviation of the foolowing data :

markas : 5-9 10-14 15-19 20-24 25-29 30-34 35-39

students : 1 3 8 5 4 2 2

Q.6. Calculate meandeviation from (1) arithmeticmean (2) median :

marks: 7 4 10 9 15 12 7 9 7

Q.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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