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.
| Class | Class | Frequency |
|---|---|---|
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 | |
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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 |
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(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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