EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Frequency Distribution Tables and Graphs
Grade : SSC Grade VIII
License : Non Commercial Use
Question
1
1.
The mean of
9
numbers is
11
4
9
.
Upon
adding
one number,
the mean becomes
11
1
10
.
Find the
included
number.
(i)
8
(ii)
9
(iii)
10
(iv)
7
(v)
6
Question
2
2.
Heights of 13 students (in cm) are given below. Find the mode height.
151
133
153
145
130
159
168
132
157
147
147
169
147
(i)
145
cm
(ii)
149
cm
(iii)
146
cm
(iv)
147
cm
(v)
148
cm
Question
3
3.
Find the mean of first 5 multiples of 8.
(i)
26
(ii)
25
(iii)
24
(iv)
22
(v)
23
Question
4
4.
Scores of 128 students are given below.
Identify the class interval table for the given histogram and frequency polygon on the same graph.
(i)
Score
71 - 78
79 - 86
87 - 94
95 - 102
103 - 110
No. of students
14
23
37
38
16
(ii)
Score
71 - 78
79 - 86
87 - 94
95 - 102
103 - 110
No. of students
14
16
23
38
37
(iii)
Score
71 - 78
79 - 86
87 - 94
95 - 102
103 - 110
No. of students
14
37
23
38
16
(iv)
Score
71 - 78
79 - 86
87 - 94
95 - 102
103 - 110
No. of students
14
37
21
38
16
(v)
Score
71 - 78
79 - 86
87 - 94
95 - 102
103 - 110
No. of students
14
42
23
38
16
Question
5
5.
Which of the following tables represent the given histogram with varying base widths
(i)
Score
10 - 30
30 - 40
40 - 70
70 - 80
No. of students
8
6
10
14
(ii)
Score
10 - 30
30 - 40
40 - 70
70 - 80
No. of students
8
6
6
14
(iii)
Score
10 - 30
30 - 40
40 - 70
70 - 80
No. of students
4
6
2
14
(iv)
Score
10 - 30
30 - 40
40 - 70
70 - 80
No. of students
8
3
6
14
(v)
Score
10 - 30
30 - 40
40 - 70
70 - 80
No. of students
4
6
7
14
Question
6
6.
Ages of 128 students (in years) are given below.
Identify the class interval table for the given frequency polygon.
(i)
Age (in years)
12 - 20
21 - 29
30 - 38
39 - 47
48 - 56
No. of students
44
8
26
10
40
(ii)
Age (in years)
12 - 20
21 - 29
30 - 38
39 - 47
48 - 56
No. of students
44
40
8
10
26
(iii)
Age (in years)
12 - 20
21 - 29
30 - 38
39 - 47
48 - 56
No. of students
44
26
5
10
40
(iv)
Age (in years)
12 - 20
21 - 29
30 - 38
39 - 47
48 - 56
No. of students
44
26
8
10
40
(v)
Age (in years)
12 - 20
21 - 29
30 - 38
39 - 47
48 - 56
No. of students
44
24
8
10
40
Question
7
7.
In exclusive form representation, the observation
32
falls in which class?
(i)
22
-
32
(ii)
42
-
52
(iii)
37
-
47
(iv)
32
-
42
(v)
27
-
32
Question
8
8.
The marks obtained by 42 students of a class in an examination is given below. Identify the frequency distribution table for the given less than ogive.
(i)
Marks
less than 20
less than 25
less than 30
less than 35
less than 40
No. of students
10
17
30
38
45
(ii)
Marks
less than 20
less than 25
less than 30
less than 35
less than 40
No. of students
10
17
27
35
42
(iii)
Marks
less than 20
less than 25
less than 30
less than 35
less than 40
No. of students
10
20
27
35
42
(iv)
Marks
less than 20
less than 25
less than 30
less than 35
less than 40
No. of students
10
14
24
32
39
Question
9
9.
Ages of 89 students (in years) are given below.
Identify the frequency distribution table for the given '
less than
' ogive.
(i)
Age (in years)
11 - 16
16 - 21
21 - 26
26 - 31
31 - 36
36 - 41
41 - 46
No. of students
16
7
18
19
6
14
9
(ii)
Age (in years)
11 - 16
16 - 21
21 - 26
26 - 31
31 - 36
36 - 41
41 - 46
No. of students
16
9
18
19
6
14
7
(iii)
Age (in years)
11 - 16
16 - 21
21 - 26
26 - 31
31 - 36
36 - 41
41 - 46
No. of students
16
9
23
19
6
14
7
(iv)
Age (in years)
11 - 16
16 - 21
21 - 26
26 - 31
31 - 36
36 - 41
41 - 46
No. of students
16
18
9
19
6
14
7
(v)
Age (in years)
11 - 16
16 - 21
21 - 26
26 - 31
31 - 36
36 - 41
41 - 46
No. of students
16
9
18
21
6
14
7
Question
10
10.
Given class interval table, find the sum of frequencies.
Class-Interval
28 - 35
35 - 42
42 - 49
49 - 56
56 - 63
63 - 70
70 - 77
77 - 84
Frequency
21
21
25
1
29
13
1
1
(i)
110
(ii)
111
(iii)
113
(iv)
114
(v)
112
Question
11
11.
Scores of 13 students are given below. Find the mean score.
77
83
90
79
79
76
82
70
81
79
74
84
79
(i)
1059
13
(ii)
1033
13
(iii)
1046
13
(iv)
1034
13
(v)
1035
13
Question
12
12.
In a study of heart patients, the following observations are obtained. Identify the class interval table for the given histogram.
(i)
Age (in years)
15 - 18
19 - 22
23 - 26
27 - 30
31 - 34
No. of Patients
25
17
27
37
23
(ii)
Age (in years)
15 - 18
19 - 22
23 - 26
27 - 30
31 - 34
No. of Patients
25
20
31
37
23
(iii)
Age (in years)
15 - 18
19 - 22
23 - 26
27 - 30
31 - 34
No. of Patients
25
31
17
37
23
(iv)
Age (in years)
15 - 18
19 - 22
23 - 26
27 - 30
31 - 34
No. of Patients
25
17
31
37
23
(v)
Age (in years)
15 - 18
19 - 22
23 - 26
27 - 30
31 - 34
No. of Patients
25
23
31
37
17
Question
13
13.
The heights of 38 pupils in a school are given below. Identify the frequency distribution table for the given less than ogive.
(i)
Height (in cm)
less than 131
less than 139
less than 147
less than 155
No. of pupils
9
18
26
38
(ii)
Height (in cm)
less than 131
less than 139
less than 147
less than 155
No. of pupils
12
21
29
38
(iii)
Height (in cm)
less than 131
less than 139
less than 147
less than 155
No. of pupils
12
20
29
38
(iv)
Height (in cm)
less than 131
less than 139
less than 147
less than 155
No. of pupils
12
21
32
41
(v)
Height (in cm)
less than 131
less than 139
less than 147
less than 155
No. of pupils
12
24
32
41
Question
14
14.
Given frequency polygon showing the number of heart patients at various age groups, identify the class interval table.
(i)
Age (in years)
30 - 38
39 - 47
48 - 56
57 - 65
66 - 74
75 - 83
No. of heart patients
17
20
17
14
7
6
(ii)
Age (in years)
30 - 38
39 - 47
48 - 56
57 - 65
66 - 74
75 - 83
No. of heart patients
17
20
17
10
7
6
(iii)
Age (in years)
30 - 38
39 - 47
48 - 56
57 - 65
66 - 74
75 - 83
No. of heart patients
17
20
21
10
7
6
(iv)
Age (in years)
30 - 38
39 - 47
48 - 56
57 - 65
66 - 74
75 - 83
No. of heart patients
17
6
17
10
7
20
(v)
Age (in years)
30 - 38
39 - 47
48 - 56
57 - 65
66 - 74
75 - 83
No. of heart patients
17
17
20
10
7
6
Question
15
15.
Ages of 164 students (in years) are given below. Identify the class mark table for the given histogram.
(i)
Age (in years)
18
29
40
51
62
73
No. of students
36
50
13
22
20
25
(ii)
Age (in years)
18
29
40
51
62
73
No. of students
36
50
13
20
20
25
(iii)
Age (in years)
18
29
40
51
62
73
No. of students
36
13
50
20
20
25
(iv)
Age (in years)
18
29
40
51
62
73
No. of students
36
50
9
20
20
25
(v)
Age (in years)
18
29
40
51
62
73
No. of students
36
25
13
20
20
50
Question
16
16.
Heights of 126 plants (in cm) are given below. Identify the class mark table for the given histogram.
(i)
Height (in cm)
59
69
79
89
99
109
No. of plants
21
12
12
22
15
46
(ii)
Height (in cm)
59
69
79
89
99
109
No. of plants
21
46
12
20
15
12
(iii)
Height (in cm)
59
69
79
89
99
109
No. of plants
21
12
12
20
15
46
(iv)
Height (in cm)
59
69
79
89
99
109
No. of plants
21
12
7
20
15
46
Question
17
17.
Rainfall of 11 days (in mm) are given below. Find the mode rainfall.
7
7
7
9
11
10
10
9
10
8
7
(i)
5
mm
(ii)
7
mm
(iii)
9
mm
(iv)
6
mm
(v)
8
mm
Question
18
18.
Weights of 158 students (in kg) are given below.
Identify the class interval table for the given frequency polygon.
(i)
Weight (in kg)
42 - 49
49 - 56
56 - 63
63 - 70
70 - 77
77 - 84
84 - 91
91 - 98
No. of students
28
12
7
21
25
6
19
45
(ii)
Weight (in kg)
42 - 49
49 - 56
56 - 63
63 - 70
70 - 77
77 - 84
84 - 91
91 - 98
No. of students
28
45
7
21
20
6
19
12
(iii)
Weight (in kg)
42 - 49
49 - 56
56 - 63
63 - 70
70 - 77
77 - 84
84 - 91
91 - 98
No. of students
28
12
5
21
20
6
19
45
(iv)
Weight (in kg)
42 - 49
49 - 56
56 - 63
63 - 70
70 - 77
77 - 84
84 - 91
91 - 98
No. of students
28
12
21
7
20
6
19
45
(v)
Weight (in kg)
42 - 49
49 - 56
56 - 63
63 - 70
70 - 77
77 - 84
84 - 91
91 - 98
No. of students
28
12
7
21
20
6
19
45
Question
19
19.
The marks obtained by 14 students in a test are given below. Find the mean of their marks when the marks of each student is doubled.
22
34
47
20
44
28
44
47
13
29
32
10
35
39
(i)
442
7
(ii)
318
5
(iii)
190
3
(iv)
444
7
(v)
446
7
Question
20
20.
Identify the frequency distribution table for the given ogive.
(i)
Class-Interval
15 - 24
24 - 33
33 - 42
42 - 51
51 - 60
Frequency
6
5
5
6
2
(ii)
Class-Interval
15 - 24
24 - 33
33 - 42
42 - 51
51 - 60
Frequency
7
4
2
2
12
(iii)
Class-Interval
15 - 24
24 - 33
33 - 42
42 - 51
51 - 60
Frequency
10
17
14
2
12
(iv)
Class-Interval
15 - 24
24 - 33
33 - 42
42 - 51
51 - 60
Frequency
15
1
5
16
12
(v)
Class-Interval
15 - 24
24 - 33
33 - 42
42 - 51
51 - 60
Frequency
14
15
6
2
8
Question
21
21.
The number of bars present in the bar chart of the following table is
(i)
8
(ii)
5
(iii)
4
(iv)
2
(v)
6
Question
22
22.
Rainfall of 188 days (in mm) are given below.
Identify the class interval table for the given histogram and frequency polygon on the same graph.
(i)
Rainfall (in mm)
12 - 19
20 - 27
28 - 35
36 - 43
44 - 51
No. of days
47
34
42
20
45
(ii)
Rainfall (in mm)
12 - 19
20 - 27
28 - 35
36 - 43
44 - 51
No. of days
47
42
34
20
45
(iii)
Rainfall (in mm)
12 - 19
20 - 27
28 - 35
36 - 43
44 - 51
No. of days
47
32
42
20
45
(iv)
Rainfall (in mm)
12 - 19
20 - 27
28 - 35
36 - 43
44 - 51
No. of days
47
45
42
20
34
(v)
Rainfall (in mm)
12 - 19
20 - 27
28 - 35
36 - 43
44 - 51
No. of days
47
34
46
20
45
Question
23
23.
The class boundaries of the class with frequency x is
Class-Interval
Frequency
26 - 33
13
34 - 41
x
42 - 49
12
50 - 57
29
58 - 65
21
(i)
34
-
41
(ii)
33.5
-
42
(iii)
33
-
41.5
(iv)
33.5
-
41.5
(v)
33
-
42
Question
24
24.
Scores of 129 students are given below.
Identify the class interval table for the given histogram.
(i)
Score
80 - 86
86 - 92
92 - 98
98 - 104
104 - 110
No. of students
18
48
12
19
32
(ii)
Score
80 - 86
86 - 92
92 - 98
98 - 104
104 - 110
No. of students
18
12
48
19
32
(iii)
Score
80 - 86
86 - 92
92 - 98
98 - 104
104 - 110
No. of students
18
32
48
19
12
(iv)
Score
80 - 86
86 - 92
92 - 98
98 - 104
104 - 110
No. of students
18
12
51
19
32
(v)
Score
80 - 86
86 - 92
92 - 98
98 - 104
104 - 110
No. of students
18
17
48
19
32
Question
25
25.
Heights of 93 plants (in cm) are given below.
Identify the class interval table for the given frequency polygon.
(i)
Height (in cm)
57 - 62
62 - 67
67 - 72
72 - 77
77 - 82
No. of plants
30
5
34
15
14
(ii)
Height (in cm)
57 - 62
62 - 67
67 - 72
72 - 77
77 - 82
No. of plants
30
14
29
15
5
(iii)
Height (in cm)
57 - 62
62 - 67
67 - 72
72 - 77
77 - 82
No. of plants
30
5
29
15
14
(iv)
Height (in cm)
57 - 62
62 - 67
67 - 72
72 - 77
77 - 82
No. of plants
30
29
5
15
14
(v)
Height (in cm)
57 - 62
62 - 67
67 - 72
72 - 77
77 - 82
No. of plants
30
1
29
15
14
Assignment Key
1) (i)
2) (iv)
3) (iii)
4) (iii)
5) (ii)
6) (iv)
7) (iv)
8) (ii)
9) (ii)
10) (v)
11) (ii)
12) (iv)
13) (ii)
14) (ii)
15) (ii)
16) (iii)
17) (ii)
18) (v)
19) (iv)
20) (iii)
21) (ii)
22) (i)
23) (iv)
24) (ii)
25) (iii)
