অনার্স তৃতীয় বর্ষের ছাত্র-ছাত্রীদের জন্য পরিসংখ্যঅন সাজেশন অধ্যায়
Data collection and representation
Stem and leaf diagram
1. The following data represent the marks
in statistic of 25 students.
65.5, 66.0, 66.9, 68.2, 65.9, 66.7, 67.3,
69.2, 67.9, 66.8, 69.8, 68.4, 68.5, 65.0, 67.5, 67.2, 69.6, 67.3, 69.9, 69.0,
68.3, 65.4
Display the data by stem and leaf diagram.
2. Marks obtained by 25 students in a quiz
tent are given bellow.
9.6, 8.5, 7.5, 6.3, 4.4, 2.1, 2.3, 3.8,
4.9, 9.5, 9.1, 8.7, 7.8, 5.6, 6.8, 7.6, 7.0, 9.0, 5.0, 2.0, 3.0, 4.0, 5.2, 3.4,
7.7
From the above data construct a stem and
leaf display and answer the following.
a) How many student have obtained less than 5.0
b) List the value in the 7.5 to 9.0 category.
c) What is the middle value? What is the highest mark and lowest marks?
3. By using the following data:
106, 121, 76, 115, 74, 127, 150, 82, 126,
78, 94, 108, 177, 69, 128, 96, 119, 161, 84, 128, 86, 79, 130, 144, 115, 123,
100, 84, 120, 111
Construct stem and leaf display for there
data.
4. Marks obtained by 40 boys of a class
are as under.
30, 41, 36, 21, 40, 30, 40, 22, 30, 27, 36, 40, 54, 42, 22, 33, 40, 36,
30, 41, 48, 28, 31, 21, 15, 26, 19, 17, 37, 48, 51, 54, 16, 42, 44, 42, 25, 31,
32, 27
Construct a stem and leaf display.
Frequency Distribution Chart
5. Daily wage of 40 workers are given
bellow.
88, 194, 108, 68, 101, 129, 149, 210, 203,
96, 104, 146, 127, 97, 89, 123, 108, 94, 149, 93, 118, 136, 187, 102, 191, 148,
163, 172, 93, 104, 132, 131, 142, 92, 87, 144, 183, 105, 108, 119
Prepare the following by suitable class
interval
a) Inclusive Method b) Exclusive Method
And also find:
I.
Mid value
II.
Real class
limit
III.
Cumulative
frequency (a)Less than (b) More than
IV.
Relative
frequency
V.
Cumulative
relative frequency
VI.
Density of
frequency
VII.
Percentage
frequency
6. Bellow is the marks obtained in statistics out of 40 students:
50, 42, 47, 56, 62, 35, 32, 39, 48, 45, 33, 36, 52, 60, 72, 40, 47, 65,
37, 45, 44, 40, 36, 45, 33, 25, 36, 30, 28, 48, 52, 57, 62, 54, 45, 33, 25, 36,
45, 50
Prepare a frequency table by taking class interval as 5.
7. Classify the following data by taking suitable class interval.
30, 42, 30, 54, 40, 48, 15, 17, 51, 42, 25, 41, 30, 27, 42, 36, 28, 26,
37, 54, 44, 31, 36, 40, 36, 22, 30, 31, 19, 48, 16, 42, 32, 21, 22, 46, 33, 41,
21, 33
M.A Kalam:
Prob: 6, 36, 37, 40, 41, 42, 49, 47, 51
Ex: 5, 56, 67, 69, 70
Bi-Variete
Frequency
1.
The following data represent the marks in business
mathematics (x) and business statistics (y) of 15 students; prepare a Bi-
variate frequency table from the following data- N.U-07
X : 30, 46, 15, 21, 28, 45,
57, 36, 74, 78, 48, 57, 70, 92, 80
Y: 46, 58, 45, 46, 40, 52,
58, 52, 74, 88, 62, 65, 75, 74, 40
2.
The following data represent the marks in Economics (x) and
Computer (y) of 13 students; prepare a Bi- variate frequency table from the
following data;
(x): 32, 15, 21, 27, 58, 37, 47, 58, 46, 50, 40, 54,
62
(y): 75, 48, 54, 70, 92, 53, 74, 85, 65, 62, 73, 77,
40
3.
The data given bellow to the scales and advertisement
expenditure of 20 companies. You are required to from a bivariate frequency distribution with class
interval 62 to 64, 64 to 66 and so on;
Company
|
Sales (tk)
|
Adv.Exp(tk)
|
Company
|
Sales (tk)
|
Adv.Exp(tk)
|
1
|
170
|
70
|
11
|
163
|
70
|
2
|
135
|
65
|
12
|
139
|
67
|
3
|
136
|
65
|
13
|
122
|
63
|
4
|
137
|
64
|
14
|
134
|
68
|
5
|
148
|
69
|
15
|
140
|
67
|
6
|
121
|
63
|
16
|
132
|
69
|
7
|
117
|
65
|
17
|
120
|
66
|
8
|
128
|
70
|
18
|
148
|
68
|
9
|
143
|
71
|
19
|
120
|
67
|
10
|
129
|
62
|
20
|
152
|
67
|
Histogram, Frequency polygon and Frequency curve
1. Represent the following data by histogram and also find mode
Weekly wage(tk)
|
50-60
|
60-70
|
70-80
|
80-90
|
90-100
|
100-110
|
Number of worker
|
3
|
7
|
20
|
9
|
8
|
2
|
2. Draw a histogram, frequency polygon and frequency curve representing
the following figures;
Length of services
|
Less then 5
|
5-10
|
10-15
|
15-20
|
20-25
|
25-30
|
30-35
|
No of Employees
|
5
|
12
|
25
|
48
|
32
|
6
|
1
|
3. Draw a histogram, frequency
polygon for the following data;
Variables
|
100-110
|
110-120
|
120-130
|
130-140
|
140-150
|
150-160
|
160-170
|
Frequency
|
11
|
28
|
36
|
49
|
33
|
20
|
8
|
4. Represent the following data by a histogram and also find mode
Size class
|
0-10
|
10-20
|
20-30
|
30-40
|
40-50
|
50-60
|
60-70
|
70-80
|
80-90
|
90-100
|
Frequency
|
5
|
11
|
19
|
21
|
16
|
10
|
8
|
6
|
3
|
1
|
5. Draw a histogram, frequency polygon for the following data;
Marks
|
1-10
|
11-20
|
21-30
|
31-40
|
41-50
|
51-60
|
61-70
|
71-80
|
No. of student
|
6
|
12
|
6
|
10
|
12
|
7
|
5
|
1s
|
6. Draw a histogram, frequency polygon for the following data;
Marks
|
0-10
|
10-20
|
20-30
|
40-50
|
50-60
|
60-70
|
70-90
|
90-100
|
No. of student
|
4
|
6
|
14
|
16
|
14
|
8
|
6
|
5
|
7. Given bellow the marks 80 applicants collected by a manager;
Marks
|
45-49
|
50-54
|
55-59
|
60-64
|
65-69
|
70-74
|
75-79
|
80-84
|
85-89
|
90-94
|
No. of applicants
|
3
|
5
|
11
|
15
|
20
|
8
|
7
|
5
|
4
|
2
|
Draw a histogram and frequency
polygon from the above data.
No comments:
Post a Comment