EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Frequency Distribution Tables and Graphs
Grade : SSC Grade VIII
License : Non Commercial Use
Question
1
1.
Identify the class interval table for the given histogram.
(i)
Weight (in kg)
46 - 50
51 - 55
56 - 60
61 - 65
66 - 70
71 - 75
No. of students
14
5
21
12
20
27
(ii)
Weight (in kg)
46 - 50
51 - 55
56 - 60
61 - 65
66 - 70
71 - 75
No. of students
14
27
21
12
20
5
(iii)
Weight (in kg)
46 - 50
51 - 55
56 - 60
61 - 65
66 - 70
71 - 75
No. of students
14
21
5
12
20
27
(iv)
Weight (in kg)
46 - 50
51 - 55
56 - 60
61 - 65
66 - 70
71 - 75
No. of students
14
5
16
12
20
27
(v)
Weight (in kg)
46 - 50
51 - 55
56 - 60
61 - 65
66 - 70
71 - 75
No. of students
14
5
21
7
20
27
Question
2
2.
If the sum of the following frequency distribution is
38
,
find the value of 'x'.
Class-Interval
Frequency
10 - 20
9
21 - 31
10
32 - 42
2
43 - 53
4
54 - 64
x
65 - 75
10
(i)
6
(ii)
4
(iii)
3
(iv)
2
(v)
1
Question
3
3.
On a certain day, the temperature in a city was recorded as shown below. Find the time that has maximum temperature.
(i)
9 a.m.
(ii)
5 p.m.
(iii)
3 p.m.
(iv)
1 p.m.
(v)
11 a.m.
Question
4
4.
Weights of 135 students (in kg) are given below.
Identify the class interval table for the given histogram.
(i)
Weight (in kg)
59 - 64
64 - 69
69 - 74
74 - 79
79 - 84
No. of students
36
31
25
18
25
(ii)
Weight (in kg)
59 - 64
64 - 69
69 - 74
74 - 79
79 - 84
No. of students
36
25
31
18
25
(iii)
Weight (in kg)
59 - 64
64 - 69
69 - 74
74 - 79
79 - 84
No. of students
36
25
28
18
25
(iv)
Weight (in kg)
59 - 64
64 - 69
69 - 74
74 - 79
79 - 84
No. of students
36
30
31
18
25
Question
5
5.
Ages of 231 students (in years) are given below.
Identify the class interval table for the given histogram and frequency polygon on the same graph.
(i)
Age (in years)
14 - 22
23 - 31
32 - 40
41 - 49
50 - 58
59 - 67
68 - 76
77 - 85
No. of students
24
36
50
11
27
9
28
46
(ii)
Age (in years)
14 - 22
23 - 31
32 - 40
41 - 49
50 - 58
59 - 67
68 - 76
77 - 85
No. of students
24
46
11
50
27
9
28
36
(iii)
Age (in years)
14 - 22
23 - 31
32 - 40
41 - 49
50 - 58
59 - 67
68 - 76
77 - 85
No. of students
24
36
11
50
23
9
28
46
(iv)
Age (in years)
14 - 22
23 - 31
32 - 40
41 - 49
50 - 58
59 - 67
68 - 76
77 - 85
No. of students
24
36
14
50
27
9
28
46
(v)
Age (in years)
14 - 22
23 - 31
32 - 40
41 - 49
50 - 58
59 - 67
68 - 76
77 - 85
No. of students
24
36
11
50
27
9
28
46
Question
6
6.
Read the column-graph given below. Find the year that has 54 million tonnes food grains production.
(i)
2011
(ii)
2010
(iii)
2007
(iv)
2008
(v)
2009
Question
7
7.
Read the column-graph given below. Find the year that has maximum food grains production.
(i)
2009
(ii)
2011
(iii)
2010
(iv)
2008
(v)
2007
Question
8
8.
Scores of 11 students are given below. Find the mean score.
80
83
82
75
70
88
73
83
72
78
83
(i)
889
11
(ii)
868
11
(iii)
79
(iv)
878
11
(v)
867
11
Question
9
9.
If the upper and lower limit of class interval are 42 and 32 respectively, then the class interval is
(i)
31.5
-
42
(ii)
32
-
42.5
(iii)
31.5
-
42.5
(iv)
32.5
-
41.5
(v)
32
-
42
Question
10
10.
Which of the following tables represent the given histogram with varying base widths
(i)
Rainfall (in mm)
5 - 15
15 - 25
25 - 55
55 - 75
No. of days
7
15
5
3
(ii)
Rainfall (in mm)
5 - 15
15 - 25
25 - 55
55 - 75
No. of days
7
15
14
6
(iii)
Rainfall (in mm)
5 - 15
15 - 25
25 - 55
55 - 75
No. of days
7
19
14
6
(iv)
Rainfall (in mm)
5 - 15
15 - 25
25 - 55
55 - 75
No. of days
7
15
1
3
(v)
Rainfall (in mm)
5 - 15
15 - 25
25 - 55
55 - 75
No. of days
7
15
18
6
Question
11
11.
Identify the frequency distribution table for the given '
less than
' ogive.
(i)
Class-Interval
16 - 26
27 - 37
38 - 48
49 - 59
60 - 70
Frequency
5
6
2
3
7
(ii)
Class-Interval
16 - 26
27 - 37
38 - 48
49 - 59
60 - 70
Frequency
9
10
5
7
10
(iii)
Class-Interval
16 - 26
27 - 37
38 - 48
49 - 59
60 - 70
Frequency
10
4
14
9
10
(iv)
Class-Interval
16 - 26
27 - 37
38 - 48
49 - 59
60 - 70
Frequency
16
10
11
17
15
(v)
Class-Interval
16 - 26
27 - 37
38 - 48
49 - 59
60 - 70
Frequency
4
10
3
1
20
Question
12
12.
Weights of 11 students (in kg) are given below. Find the mode weight.
52
48
51
43
43
40
55
58
58
55
43
(i)
44
kg
(ii)
43
kg
(iii)
42
kg
(iv)
45
kg
(v)
41
kg
Question
13
13.
Arrange the following data
31
31
18
24
34
15
10
22
17
17
in ascending order
(i)
10
15
17
17
18
22
24
31
31
34
(ii)
26
23
11
13
16
27
29
26
35
21
(iii)
31
39
10
18
17
17
37
19
32
36
(iv)
23
29
23
36
23
16
26
35
40
32
(v)
37
20
39
21
12
28
16
13
21
40
Question
14
14.
Temperatures of 111 days (in °C) are given below.
Identify the class interval table for the given frequency polygon.
(i)
Temperature (in degree)
35 - 43
43 - 51
51 - 59
59 - 67
67 - 75
75 - 83
No. of days
7
13
15
25
45
6
(ii)
Temperature (in degree)
35 - 43
43 - 51
51 - 59
59 - 67
67 - 75
75 - 83
No. of days
7
15
6
25
45
13
(iii)
Temperature (in degree)
35 - 43
43 - 51
51 - 59
59 - 67
67 - 75
75 - 83
No. of days
7
6
20
25
45
13
(iv)
Temperature (in degree)
35 - 43
43 - 51
51 - 59
59 - 67
67 - 75
75 - 83
No. of days
7
6
15
25
45
13
(v)
Temperature (in degree)
35 - 43
43 - 51
51 - 59
59 - 67
67 - 75
75 - 83
No. of days
7
6
15
20
45
13
Question
15
15.
Identify the class interval table for the given histogram and frequency polygon on the same graph.
(i)
Class-Interval
40 - 49
49 - 58
58 - 67
67 - 76
76 - 85
Frequency
46
85
19
45
88
(ii)
Class-Interval
40 - 49
49 - 58
58 - 67
67 - 76
76 - 85
Frequency
46
82
21
45
88
(iii)
Class-Interval
40 - 49
49 - 58
58 - 67
67 - 76
76 - 85
Frequency
46
88
19
45
82
(iv)
Class-Interval
40 - 49
49 - 58
58 - 67
67 - 76
76 - 85
Frequency
46
82
19
45
88
(v)
Class-Interval
40 - 49
49 - 58
58 - 67
67 - 76
76 - 85
Frequency
46
19
82
45
88
Question
16
16.
Ages of 165 students (in years) are given below. Identify the class mark table for the given histogram.
(i)
Age (in years)
22.5
30.5
38.5
46.5
54.5
No. of students
39
19
43
23
41
(ii)
Age (in years)
22.5
30.5
38.5
46.5
54.5
No. of students
39
19
48
23
41
(iii)
Age (in years)
22.5
30.5
38.5
46.5
54.5
No. of students
39
43
19
23
41
(iv)
Age (in years)
22.5
30.5
38.5
46.5
54.5
No. of students
39
41
43
23
19
(v)
Age (in years)
22.5
30.5
38.5
46.5
54.5
No. of students
39
24
43
23
41
Question
17
17.
Which of the following are continuous variables?
a)
Wages of workers in a factory
b)
Number of members in a family
c)
Rainfall at a place over a month
d)
Marks obtained by student in a particular subject
e)
Population of cities
(i)
{a,c}
(ii)
{d,c}
(iii)
{e,b,a}
(iv)
{d,c,a}
(v)
{b,a}
Question
18
18.
Ages of 81 students (in years) are given below. Identify the class mark table for the given histogram.
(i)
Age (in years)
24
32
40
48
56
No. of students
15
14
22
22
8
(ii)
Age (in years)
24
32
40
48
56
No. of students
15
22
14
22
8
(iii)
Age (in years)
24
32
40
48
56
No. of students
15
14
17
22
8
(iv)
Age (in years)
24
32
40
48
56
No. of students
15
8
22
22
14
(v)
Age (in years)
24
32
40
48
56
No. of students
15
18
22
22
8
Question
19
19.
The marks obtained by 12 students in a test are given below. Find the mean of their marks when the marks of each student is decreased by 10.
35
42
19
46
22
14
16
12
42
37
13
32
(i)
33
2
(ii)
35
2
(iii)
37
2
(iv)
18
(v)
69
4
Question
20
20.
In a study of heart patients, the following observations are obtained. Identify the class interval table for the given histogram.
(i)
Age (in years)
55 - 58
59 - 62
63 - 66
67 - 70
71 - 74
75 - 78
79 - 82
No. of Patients
32
14
28
21
12
17
48
(ii)
Age (in years)
55 - 58
59 - 62
63 - 66
67 - 70
71 - 74
75 - 78
79 - 82
No. of Patients
32
28
14
23
12
17
48
(iii)
Age (in years)
55 - 58
59 - 62
63 - 66
67 - 70
71 - 74
75 - 78
79 - 82
No. of Patients
32
28
16
21
12
17
48
(iv)
Age (in years)
55 - 58
59 - 62
63 - 66
67 - 70
71 - 74
75 - 78
79 - 82
No. of Patients
32
28
14
21
12
17
48
(v)
Age (in years)
55 - 58
59 - 62
63 - 66
67 - 70
71 - 74
75 - 78
79 - 82
No. of Patients
32
48
14
21
12
17
28
Question
21
21.
Rainfall of 13 days (in mm) are given below. Find the median rainfall.
15
14
8
13
14
11
12
8
13
6
7
12
14
(i)
13
mm
(ii)
12
mm
(iii)
11
mm
(iv)
14
mm
(v)
10
mm
Question
22
22.
Identify the class interval table for the given histogram.
(i)
Class-Interval
104 - 109
110 - 115
116 - 121
122 - 127
128 - 133
134 - 139
140 - 145
146 - 151
Frequency
136
141
107
90
136
32
124
36
(ii)
Class-Interval
104 - 109
110 - 115
116 - 121
122 - 127
128 - 133
134 - 139
140 - 145
146 - 151
Frequency
136
141
90
107
136
32
124
36
(iii)
Class-Interval
104 - 109
110 - 115
116 - 121
122 - 127
128 - 133
134 - 139
140 - 145
146 - 151
Frequency
136
36
90
107
136
32
124
141
(iv)
Class-Interval
104 - 109
110 - 115
116 - 121
122 - 127
128 - 133
134 - 139
140 - 145
146 - 151
Frequency
136
141
86
107
136
32
124
36
(v)
Class-Interval
104 - 109
110 - 115
116 - 121
122 - 127
128 - 133
134 - 139
140 - 145
146 - 151
Frequency
136
141
90
107
139
32
124
36
Question
23
23.
If the length of the class is 13, then the number of class intervals needed to represent data with range 50 is
(i)
3
(ii)
5
(iii)
1
(iv)
6
(v)
4
Question
24
24.
Ages of 76 students (in years) are given below.
Identify the frequency distribution table for the given '
less than
' ogive.
(i)
Age (in years)
15 - 22
22 - 29
29 - 36
36 - 43
43 - 50
50 - 57
57 - 64
No. of students
9
6
5
10
13
18
13
(ii)
Age (in years)
15 - 22
22 - 29
29 - 36
36 - 43
43 - 50
50 - 57
57 - 64
No. of students
9
6
9
12
13
18
13
(iii)
Age (in years)
15 - 22
22 - 29
29 - 36
36 - 43
43 - 50
50 - 57
57 - 64
No. of students
9
5
6
12
13
18
13
(iv)
Age (in years)
15 - 22
22 - 29
29 - 36
36 - 43
43 - 50
50 - 57
57 - 64
No. of students
9
6
5
12
13
18
13
(v)
Age (in years)
15 - 22
22 - 29
29 - 36
36 - 43
43 - 50
50 - 57
57 - 64
No. of students
9
13
5
12
13
18
6
Question
25
25.
To represent equal numerical values, same diagrams are used in
(i)
bar-diagrams
(ii)
pictographs
(iii)
pie-diagrams
(iv)
sectors
Assignment Key
1) (i)
2) (iii)
3) (i)
4) (ii)
5) (v)
6) (ii)
7) (v)
8) (v)
9) (v)
10) (ii)
11) (ii)
12) (ii)
13) (i)
14) (iv)
15) (iv)
16) (i)
17) (i)
18) (i)
19) (ii)
20) (iv)
21) (ii)
22) (ii)
23) (v)
24) (iv)
25) (ii)
