EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Frequency Distribution Tables and Graphs
Grade : SSC Grade VIII
License : Non Commercial Use
Question
1
1.
If the lower and upper limit of class interval are 18 and 25 respectively, then the class interval is
(i)
17.5
-
25
(ii)
18
-
25.5
(iii)
18
-
25
(iv)
17.5
-
25.5
(v)
18.5
-
24.5
Question
2
2.
Given class interval
42
-
51
in exclusive form, its
upper limit is
(i)
49
(ii)
50
(iii)
53
(iv)
52
(v)
51
Question
3
3.
Given class interval table, find the sum of frequencies.
Class-Interval
25 - 33
34 - 42
43 - 51
52 - 60
61 - 69
Frequency
19
22
26
9
5
(i)
80
(ii)
81
(iii)
83
(iv)
78
(v)
82
Question
4
4.
The frequency polygon is one drawn using
(i)
end points of classes and frequencies
(ii)
lower boundaries of classes and greater than cumulative frequencies
(iii)
mid point of classes and frequencies
(iv)
upper boundaries of classes and cumulative frequencies
Question
5
5.
Following are the daily wages (in rupees) of labourers working in a factory. Identify the cumulative frequency of the given grouped data.
Wages (in rupees)
300 - 340
341 - 381
382 - 422
423 - 463
464 - 504
505 - 545
Labourers
15
17
15
10
2
11
(i)
Wages (in rupees)
Cumulative Frequency
300 - 340
15
341 - 381
32
382 - 422
47
423 - 463
61
464 - 504
63
505 - 545
74
(ii)
Wages (in rupees)
Cumulative Frequency
300 - 340
15
341 - 381
32
382 - 422
45
423 - 463
55
464 - 504
57
505 - 545
68
(iii)
Wages (in rupees)
Cumulative Frequency
300 - 340
15
341 - 381
26
382 - 422
41
423 - 463
51
464 - 504
53
505 - 545
70
(iv)
Wages (in rupees)
Cumulative Frequency
300 - 340
15
341 - 381
30
382 - 422
47
423 - 463
57
464 - 504
59
505 - 545
70
(v)
Wages (in rupees)
Cumulative Frequency
300 - 340
15
341 - 381
32
382 - 422
47
423 - 463
57
464 - 504
59
505 - 545
70
Question
6
6.
Ages of 275 students (in years) are given below.
Identify the class interval table for the given frequency polygon.
(i)
Age (in years)
15 - 24
24 - 33
33 - 42
42 - 51
51 - 60
60 - 69
69 - 78
78 - 87
No. of students
46
25
40
16
22
48
47
26
(ii)
Age (in years)
15 - 24
24 - 33
33 - 42
42 - 51
51 - 60
60 - 69
69 - 78
78 - 87
No. of students
46
26
40
16
27
48
47
25
(iii)
Age (in years)
15 - 24
24 - 33
33 - 42
42 - 51
51 - 60
60 - 69
69 - 78
78 - 87
No. of students
46
25
16
40
27
48
47
26
(iv)
Age (in years)
15 - 24
24 - 33
33 - 42
42 - 51
51 - 60
60 - 69
69 - 78
78 - 87
No. of students
46
25
45
16
27
48
47
26
(v)
Age (in years)
15 - 24
24 - 33
33 - 42
42 - 51
51 - 60
60 - 69
69 - 78
78 - 87
No. of students
46
25
40
16
27
48
47
26
Question
7
7.
Heights of 226 plants (in cm) are given below.
Identify the class interval table for the given frequency polygon.
(i)
Height (in cm)
63 - 69
69 - 75
75 - 81
81 - 87
87 - 93
93 - 99
99 - 105
105 - 111
No. of plants
17
38
38
36
6
33
32
26
(ii)
Height (in cm)
63 - 69
69 - 75
75 - 81
81 - 87
87 - 93
93 - 99
99 - 105
105 - 111
No. of plants
17
26
36
38
6
33
32
38
(iii)
Height (in cm)
63 - 69
69 - 75
75 - 81
81 - 87
87 - 93
93 - 99
99 - 105
105 - 111
No. of plants
17
38
36
38
8
33
32
26
(iv)
Height (in cm)
63 - 69
69 - 75
75 - 81
81 - 87
87 - 93
93 - 99
99 - 105
105 - 111
No. of plants
17
38
38
38
6
33
32
26
(v)
Height (in cm)
63 - 69
69 - 75
75 - 81
81 - 87
87 - 93
93 - 99
99 - 105
105 - 111
No. of plants
17
38
36
38
6
33
32
26
Question
8
8.
In exclusive form representation, the observation
22
falls in which class?
(i)
17
-
22
(ii)
32
-
42
(iii)
27
-
37
(iv)
12
-
22
(v)
22
-
32
Question
9
9.
The marks obtained by
18
students in an examination are given below.
Represent the data in the form of a frequency distribution table
in exclusive form
taking class size
6
.
76
80
58
62
42
52
71
40
68
45
71
47
59
52
74
43
76
61
(i)
Marks
40 - 46
46 - 52
52 - 58
58 - 64
64 - 70
70 - 76
76 - 82
No. of Students
4
2
1
4
1
3
3
(ii)
Marks
40 - 46
46 - 52
52 - 58
58 - 64
64 - 70
70 - 76
76 - 82
No. of Students
4
3
2
4
1
3
1
(iii)
Marks
40 - 46
46 - 52
52 - 58
58 - 64
64 - 70
70 - 76
76 - 82
No. of Students
4
1
5
4
1
3
3
(iv)
Marks
40 - 46
46 - 52
52 - 58
58 - 64
64 - 70
70 - 76
76 - 82
No. of Students
4
1
2
4
1
3
3
(v)
Marks
40 - 46
46 - 52
52 - 58
58 - 64
64 - 70
70 - 76
76 - 82
No. of Students
4
1
2
6
1
3
3
Question
10
10.
The marks obtained by Anthony in his annual exam are shown below. Find the subject that has maximum score.
(i)
Social Studies
(ii)
Physics
(iii)
Spanish
(iv)
Sanskrit
(v)
English
Question
11
11.
Heights of 220 plants (in cm) are given below. Identify the class mark table for the given histogram.
(i)
Height (in cm)
70.5
80.5
90.5
100.5
110.5
120.5
130.5
No. of plants
17
49
6
44
49
41
14
(ii)
Height (in cm)
70.5
80.5
90.5
100.5
110.5
120.5
130.5
No. of plants
17
14
6
41
49
41
49
(iii)
Height (in cm)
70.5
80.5
90.5
100.5
110.5
120.5
130.5
No. of plants
17
14
6
44
49
41
49
(iv)
Height (in cm)
70.5
80.5
90.5
100.5
110.5
120.5
130.5
No. of plants
17
14
11
44
49
41
49
(v)
Height (in cm)
70.5
80.5
90.5
100.5
110.5
120.5
130.5
No. of plants
17
6
14
44
49
41
49
Question
12
12.
In a histogram
(i)
the lengths of all rectangles are equal
(ii)
the length and width of each rectangle are in proportion
(iii)
the width of all rectangles are equal
(iv)
the lengths and widths of all rectangles are equal
Question
13
13.
Ages of 11 students (in years) are given below. Find the mean age.
13
11
14
13
14
10
13
10
13
12
10
(i)
133
11
years
(ii)
144
11
years
(iii)
134
11
years
(iv)
155
11
years
(v)
135
11
years
Question
14
14.
Identify the class interval table for the given histogram and frequency polygon on the same graph.
(i)
Class-Interval
35 - 43
43 - 51
51 - 59
59 - 67
67 - 75
75 - 83
83 - 91
Frequency
55
62
83
84
78
67
62
(ii)
Class-Interval
35 - 43
43 - 51
51 - 59
59 - 67
67 - 75
75 - 83
83 - 91
Frequency
55
83
62
81
78
67
62
(iii)
Class-Interval
35 - 43
43 - 51
51 - 59
59 - 67
67 - 75
75 - 83
83 - 91
Frequency
55
62
83
81
78
67
62
(iv)
Class-Interval
35 - 43
43 - 51
51 - 59
59 - 67
67 - 75
75 - 83
83 - 91
Frequency
55
62
87
81
78
67
62
Question
15
15.
If the sample data with range 70 has to be divided into 7 class intervals, then the length of the class is
(i)
13
(ii)
10
(iii)
8
(iv)
11
(v)
9
Question
16
16.
Which of the following tables represent the given histogram with varying base widths
(i)
Rainfall (in mm)
14 - 54
54 - 64
64 - 74
74 - 84
84 - 94
94 - 124
No. of days
14
12
9
8
13
9
(ii)
Rainfall (in mm)
14 - 54
54 - 64
64 - 74
74 - 84
84 - 94
94 - 124
No. of days
14
12
4
6
13
9
(iii)
Rainfall (in mm)
14 - 54
54 - 64
64 - 74
74 - 84
84 - 94
94 - 124
No. of days
14
12
9
6
13
9
(iv)
Rainfall (in mm)
14 - 54
54 - 64
64 - 74
74 - 84
84 - 94
94 - 124
No. of days
4
12
9
6
13
3
(v)
Rainfall (in mm)
14 - 54
54 - 64
64 - 74
74 - 84
84 - 94
94 - 124
No. of days
4
12
9
11
13
3
Question
17
17.
Rainfall of 273 days (in mm) are given below.
Identify the class interval table for the given frequency polygon.
(i)
Rainfall (in mm)
13 - 21
21 - 29
29 - 37
37 - 45
45 - 53
53 - 61
61 - 69
69 - 77
No. of days
32
24
33
40
23
47
33
37
(ii)
Rainfall (in mm)
13 - 21
21 - 29
29 - 37
37 - 45
45 - 53
53 - 61
61 - 69
69 - 77
No. of days
32
24
37
40
26
47
33
37
(iii)
Rainfall (in mm)
13 - 21
21 - 29
29 - 37
37 - 45
45 - 53
53 - 61
61 - 69
69 - 77
No. of days
32
24
37
40
23
47
33
37
(iv)
Rainfall (in mm)
13 - 21
21 - 29
29 - 37
37 - 45
45 - 53
53 - 61
61 - 69
69 - 77
No. of days
32
37
37
40
23
47
33
24
(v)
Rainfall (in mm)
13 - 21
21 - 29
29 - 37
37 - 45
45 - 53
53 - 61
61 - 69
69 - 77
No. of days
32
24
40
37
23
47
33
37
Question
18
18.
The mid value of the class with frequency x is
Class-Interval
Frequency
18 - 28
24
28 - 38
x
38 - 48
28
48 - 58
23
58 - 68
17
(i)
34
(ii)
32
(iii)
31
(iv)
33
(v)
36
Question
19
19.
The marks obtained by 15 students in a test are given below. Find their mode marks.
3
49
26
42
45
44
42
28
7
6
49
43
2
24
42
(i)
43
(ii)
40
(iii)
41
(iv)
45
(v)
42
Question
20
20.
Scores of 181 students are given below.
Identify the class interval table for the given histogram and frequency polygon on the same graph.
(i)
Score
74 - 83
83 - 92
92 - 101
101 - 110
110 - 119
119 - 128
128 - 137
No. of students
9
7
31
39
15
49
35
(ii)
Score
74 - 83
83 - 92
92 - 101
101 - 110
110 - 119
119 - 128
128 - 137
No. of students
9
35
27
39
15
49
7
(iii)
Score
74 - 83
83 - 92
92 - 101
101 - 110
110 - 119
119 - 128
128 - 137
No. of students
9
7
27
37
15
49
35
(iv)
Score
74 - 83
83 - 92
92 - 101
101 - 110
110 - 119
119 - 128
128 - 137
No. of students
9
7
27
39
15
49
35
(v)
Score
74 - 83
83 - 92
92 - 101
101 - 110
110 - 119
119 - 128
128 - 137
No. of students
9
27
7
39
15
49
35
Question
21
21.
Heights of 145 plants (in cm) are given below.
Identify the class interval table for the given histogram and frequency polygon on the same graph.
(i)
Height (in cm)
69 - 76
76 - 83
83 - 90
90 - 97
97 - 104
No. of plants
12
26
43
14
47
(ii)
Height (in cm)
69 - 76
76 - 83
83 - 90
90 - 97
97 - 104
No. of plants
12
26
46
14
47
(iii)
Height (in cm)
69 - 76
76 - 83
83 - 90
90 - 97
97 - 104
No. of plants
12
46
26
14
47
(iv)
Height (in cm)
69 - 76
76 - 83
83 - 90
90 - 97
97 - 104
No. of plants
12
47
46
14
26
(v)
Height (in cm)
69 - 76
76 - 83
83 - 90
90 - 97
97 - 104
No. of plants
12
23
46
14
47
Question
22
22.
Find the mean of first 7 multiples of 11.
(i)
41
(ii)
46
(iii)
43
(iv)
45
(v)
44
Question
23
23.
Following are the daily wages (in rupees) of labourers working in a factory. Identify the cumulative frequency of the given grouped data.
Wages (in rupees)
300 - 330
330 - 360
360 - 390
390 - 420
420 - 450
450 - 480
Labourers
8
7
11
4
15
20
(i)
Wages (in rupees)
Cumulative Frequency
300 - 330
8
330 - 360
28
360 - 390
39
390 - 420
43
420 - 450
58
450 - 480
65
(ii)
Wages (in rupees)
Cumulative Frequency
300 - 330
8
330 - 360
15
360 - 390
24
390 - 420
28
420 - 450
43
450 - 480
63
(iii)
Wages (in rupees)
Cumulative Frequency
300 - 330
8
330 - 360
15
360 - 390
26
390 - 420
30
420 - 450
45
450 - 480
65
(iv)
Wages (in rupees)
Cumulative Frequency
300 - 330
8
330 - 360
15
360 - 390
26
390 - 420
35
420 - 450
50
450 - 480
70
(v)
Wages (in rupees)
Cumulative Frequency
300 - 330
8
330 - 360
19
360 - 390
26
390 - 420
30
420 - 450
45
450 - 480
65
Question
24
24.
Heights of 205 students (in cm) are given below. Identify the class mark table for the given histogram.
(i)
Height (in cm)
124
131
138
145
152
159
166
173
No. of students
34
24
31
10
29
27
42
8
(ii)
Height (in cm)
124
131
138
145
152
159
166
173
No. of students
34
8
31
10
29
27
42
24
(iii)
Height (in cm)
124
131
138
145
152
159
166
173
No. of students
34
24
31
10
26
27
42
8
(iv)
Height (in cm)
124
131
138
145
152
159
166
173
No. of students
34
24
36
10
29
27
42
8
(v)
Height (in cm)
124
131
138
145
152
159
166
173
No. of students
34
24
10
31
29
27
42
8
Question
25
25.
Scores of 70 students are given below.
Identify the frequency distribution table for the given '
less than
' ogive.
(i)
Score
71 - 79
79 - 87
87 - 95
95 - 103
103 - 111
111 - 119
No. of students
12
20
11
5
7
15
(ii)
Score
71 - 79
79 - 87
87 - 95
95 - 103
103 - 111
111 - 119
No. of students
12
20
11
10
7
15
(iii)
Score
71 - 79
79 - 87
87 - 95
95 - 103
103 - 111
111 - 119
No. of students
12
15
11
5
7
20
(iv)
Score
71 - 79
79 - 87
87 - 95
95 - 103
103 - 111
111 - 119
No. of students
12
20
9
5
7
15
(v)
Score
71 - 79
79 - 87
87 - 95
95 - 103
103 - 111
111 - 119
No. of students
12
11
20
5
7
15
Assignment Key
1) (iii)
2) (v)
3) (ii)
4) (iii)
5) (v)
6) (v)
7) (v)
8) (v)
9) (iv)
10) (v)
11) (iii)
12) (iii)
13) (i)
14) (iii)
15) (ii)
16) (iii)
17) (iii)
18) (iv)
19) (v)
20) (iv)
21) (ii)
22) (v)
23) (iii)
24) (i)
25) (i)
