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 : 15 6101115 16202125 2630
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 : 59 1014 1519 2024 2529 3034 3539
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.
Class  Class  Frequency 

15  0.55.5  2 
610  5.510.5  8 
1115  10.515.5  15 
1620  15.520.5  35 
2125  20.525.5  20 
2630  25.530.5  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.)  

59  4.59.5  1  1  
1014  9.514.5  3  4  
1519  14.519.5  8  12  
2024  19.524.5  5  17  
2529  24.529.5  4  21  
3034  29.534.5  2  23  
2539  34.539.5  2  25  
Solution 6
(i) Mean Deviation through Arithmetic Mean
Marks  Frequency  fx  Deviation from Mean d  fd 
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'  fd' 
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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