EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Frequency Distribution Tables and Graphs
Grade : SSC Grade VIII
License : Non Commercial Use
Question
1
1.
Given below is the cost of living index for a particular year in a city. Identify the class interval table for the given histogram and frequency polygon on the same graph.
(i)
Cost of living index (in rupees)
127 - 133
134 - 140
141 - 147
148 - 154
155 - 161
No. of weeks
6
9
10
8
10
(ii)
Cost of living index (in rupees)
127 - 133
134 - 140
141 - 147
148 - 154
155 - 161
No. of weeks
6
10
10
8
9
(iii)
Cost of living index (in rupees)
127 - 133
134 - 140
141 - 147
148 - 154
155 - 161
No. of weeks
6
10
5
8
9
(iv)
Cost of living index (in rupees)
127 - 133
134 - 140
141 - 147
148 - 154
155 - 161
No. of weeks
6
7
10
8
9
Question
2
2.
Weights of 160 students (in kg) are given below.
Identify the class interval table for the given histogram.
(i)
Weight (in kg)
56 - 66
66 - 76
76 - 86
86 - 96
96 - 106
106 - 116
No. of students
47
6
39
33
29
8
(ii)
Weight (in kg)
56 - 66
66 - 76
76 - 86
86 - 96
96 - 106
106 - 116
No. of students
47
8
39
31
29
6
(iii)
Weight (in kg)
56 - 66
66 - 76
76 - 86
86 - 96
96 - 106
106 - 116
No. of students
47
39
6
31
29
8
(iv)
Weight (in kg)
56 - 66
66 - 76
76 - 86
86 - 96
96 - 106
106 - 116
No. of students
47
6
37
31
29
8
(v)
Weight (in kg)
56 - 66
66 - 76
76 - 86
86 - 96
96 - 106
106 - 116
No. of students
47
6
39
31
29
8
Question
3
3.
Find the mean of first 9 multiples of 8.
(i)
41
(ii)
40
(iii)
39
(iv)
37
(v)
43
Question
4
4.
Identify the class interval table for the given histogram.
(i)
Weight (in kg)
20 - 23
24 - 27
28 - 31
32 - 35
36 - 39
40 - 43
44 - 47
No. of students
12
24
16
26
20
5
8
(ii)
Weight (in kg)
20 - 23
24 - 27
28 - 31
32 - 35
36 - 39
40 - 43
44 - 47
No. of students
12
8
18
26
20
5
24
(iii)
Weight (in kg)
20 - 23
24 - 27
28 - 31
32 - 35
36 - 39
40 - 43
44 - 47
No. of students
12
8
16
26
20
5
24
(iv)
Weight (in kg)
20 - 23
24 - 27
28 - 31
32 - 35
36 - 39
40 - 43
44 - 47
No. of students
12
8
16
29
20
5
24
(v)
Weight (in kg)
20 - 23
24 - 27
28 - 31
32 - 35
36 - 39
40 - 43
44 - 47
No. of students
12
16
8
26
20
5
24
Question
5
5.
Heights of 95 plants (in cm) are given below.
Identify the class interval table for the given histogram.
(i)
Height (in cm)
59 - 68
68 - 77
77 - 86
86 - 95
95 - 104
No. of plants
13
21
31
9
21
(ii)
Height (in cm)
59 - 68
68 - 77
77 - 86
86 - 95
95 - 104
No. of plants
13
31
21
9
21
(iii)
Height (in cm)
59 - 68
68 - 77
77 - 86
86 - 95
95 - 104
No. of plants
13
21
28
9
21
(iv)
Height (in cm)
59 - 68
68 - 77
77 - 86
86 - 95
95 - 104
No. of plants
13
24
31
9
21
Question
6
6.
Heights of 232 plants (in cm) are given below.
Identify the class interval table for the given frequency polygon.
(i)
Height (in cm)
50 - 57
57 - 64
64 - 71
71 - 78
78 - 85
85 - 92
92 - 99
No. of plants
8
9
46
45
49
49
26
(ii)
Height (in cm)
50 - 57
57 - 64
64 - 71
71 - 78
78 - 85
85 - 92
92 - 99
No. of plants
8
46
26
45
49
49
9
(iii)
Height (in cm)
50 - 57
57 - 64
64 - 71
71 - 78
78 - 85
85 - 92
92 - 99
No. of plants
8
26
46
45
49
49
9
(iv)
Height (in cm)
50 - 57
57 - 64
64 - 71
71 - 78
78 - 85
85 - 92
92 - 99
No. of plants
8
26
48
45
49
49
9
(v)
Height (in cm)
50 - 57
57 - 64
64 - 71
71 - 78
78 - 85
85 - 92
92 - 99
No. of plants
8
26
46
47
49
49
9
Question
7
7.
Heights of 162 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)
66 - 74
74 - 82
82 - 90
90 - 98
98 - 106
106 - 114
114 - 122
No. of plants
10
11
26
46
28
21
20
(ii)
Height (in cm)
66 - 74
74 - 82
82 - 90
90 - 98
98 - 106
106 - 114
114 - 122
No. of plants
10
26
11
46
28
21
20
(iii)
Height (in cm)
66 - 74
74 - 82
82 - 90
90 - 98
98 - 106
106 - 114
114 - 122
No. of plants
10
26
13
46
28
21
20
(iv)
Height (in cm)
66 - 74
74 - 82
82 - 90
90 - 98
98 - 106
106 - 114
114 - 122
No. of plants
10
20
11
46
28
21
26
(v)
Height (in cm)
66 - 74
74 - 82
82 - 90
90 - 98
98 - 106
106 - 114
114 - 122
No. of plants
10
26
11
41
28
21
20
Question
8
8.
The given ogive represents the heights of workers (in cm) in a factory.
Find the number of workers whose height is less than
176 cm
(i)
22
(ii)
21
(iii)
13
(iv)
12
(v)
17
Question
9
9.
Ages of 12 students (in years) are given below. Find the mode age.
12
13
11
10
11
12
15
15
11
10
11
11
(i)
11
years
(ii)
13
years
(iii)
10
years
(iv)
9
years
(v)
12
years
Question
10
10.
The class boundaries of 39 - 48 which is in inclusive form are
(i)
38.5
-
49
(ii)
38
-
49
(iii)
39
-
48
(iv)
38
-
48.5
(v)
38.5
-
48.5
Question
11
11.
Heights of 13 plants (in cm) are given below. Find the median height.
67
69
68
60
84
68
74
54
52
53
62
60
79
(i)
68
cm
(ii)
69
cm
(iii)
66
cm
(iv)
65
cm
(v)
67
cm
Question
12
12.
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 - 320
320 - 340
340 - 360
360 - 380
380 - 400
400 - 420
Labourers
17
3
1
8
11
2
(i)
Wages (in rupees)
Cumulative Frequency
300 - 320
17
320 - 340
20
340 - 360
21
360 - 380
24
380 - 400
35
400 - 420
37
(ii)
Wages (in rupees)
Cumulative Frequency
300 - 320
17
320 - 340
19
340 - 360
20
360 - 380
28
380 - 400
39
400 - 420
42
(iii)
Wages (in rupees)
Cumulative Frequency
300 - 320
17
320 - 340
20
340 - 360
21
360 - 380
29
380 - 400
40
400 - 420
42
(iv)
Wages (in rupees)
Cumulative Frequency
300 - 320
17
320 - 340
18
340 - 360
21
360 - 380
29
380 - 400
40
400 - 420
42
(v)
Wages (in rupees)
Cumulative Frequency
300 - 320
17
320 - 340
20
340 - 360
26
360 - 380
34
380 - 400
45
400 - 420
47
Question
13
13.
Rainfall of 60 days (in mm) are given below.
Identify the frequency distribution table for the given '
less than
' ogive.
(i)
Rainfall (in mm)
15 - 20
21 - 26
27 - 32
33 - 38
39 - 44
45 - 50
51 - 56
No. of days
11
11
5
8
6
5
14
(ii)
Rainfall (in mm)
15 - 20
21 - 26
27 - 32
33 - 38
39 - 44
45 - 50
51 - 56
No. of days
11
5
11
8
6
5
14
(iii)
Rainfall (in mm)
15 - 20
21 - 26
27 - 32
33 - 38
39 - 44
45 - 50
51 - 56
No. of days
11
5
13
8
6
5
14
(iv)
Rainfall (in mm)
15 - 20
21 - 26
27 - 32
33 - 38
39 - 44
45 - 50
51 - 56
No. of days
11
5
11
12
6
5
14
(v)
Rainfall (in mm)
15 - 20
21 - 26
27 - 32
33 - 38
39 - 44
45 - 50
51 - 56
No. of days
11
14
11
8
6
5
5
Question
14
14.
During the medical check-up of 31 students of a class, their weights in kgs are recorded as follows.
Identify the number of students whose weight is more than 67 kg
Class-Interval
40 - 49
49 - 58
58 - 67
67 - 76
Frequency
7
10
9
5
(i)
3
(ii)
7
(iii)
4
(iv)
5
(v)
6
Question
15
15.
On a certain day, the temperature in a city was recorded as shown below. Find the time that has maximum temperature.
(i)
7 a.m.
(ii)
3 p.m.
(iii)
1 p.m.
(iv)
5 p.m.
(v)
5 a.m.
Question
16
16.
If the sample data with range 60 has to be divided into 10 class intervals, then the length of the class is
(i)
5
(ii)
3
(iii)
7
(iv)
6
(v)
8
Question
17
17.
Less than cumulative curves are drawn using
(i)
upper boundaries of classes and less than cumulative frequencies
(ii)
lower boundaries of classes and greater than cumulative frequencies
(iii)
mid values of classes and less than cumulative frequencies
(iv)
lower boundaries of classes and less than cumulative frequencies
Question
18
18.
Given an even number of random samples with the middle two samples as
x +
10
and x +
12
and the median as
20
,
find the value of x.
(i)
7
(ii)
11
(iii)
9
(iv)
8
(v)
10
Question
19
19.
Read the column-graph given below. Find the year that has 88 million tonnes food grains production.
(i)
2008
(ii)
2011
(iii)
2007
(iv)
2009
(v)
2010
Question
20
20.
Identify the class interval table for the given histogram and frequency polygon on the same graph.
(i)
Class-Interval
34 - 42
42 - 50
50 - 58
58 - 66
66 - 74
74 - 82
82 - 90
Frequency
88
44
67
29
66
79
67
(ii)
Class-Interval
34 - 42
42 - 50
50 - 58
58 - 66
66 - 74
74 - 82
82 - 90
Frequency
88
67
44
24
66
79
67
(iii)
Class-Interval
34 - 42
42 - 50
50 - 58
58 - 66
66 - 74
74 - 82
82 - 90
Frequency
88
67
67
24
66
79
44
(iv)
Class-Interval
34 - 42
42 - 50
50 - 58
58 - 66
66 - 74
74 - 82
82 - 90
Frequency
88
44
64
24
66
79
67
(v)
Class-Interval
34 - 42
42 - 50
50 - 58
58 - 66
66 - 74
74 - 82
82 - 90
Frequency
88
44
67
24
66
79
67
Question
21
21.
In exclusive form representation, the observation
16
falls in which class?
(i)
26
-
36
(ii)
11
-
16
(iii)
6
-
16
(iv)
21
-
31
(v)
16
-
26
Question
22
22.
The marks obtained by 15 students in a test are given below. Find their median marks.
20
8
8
11
3
38
42
42
22
19
16
43
28
16
50
(i)
19
(ii)
20
(iii)
18
(iv)
23
(v)
21
Question
23
23.
Daily wages of 158 labourers (in ₹) are given below.
Identify the class interval table for the given histogram and frequency polygon on the same graph.
(i)
Daily wage(in Rs)
291 - 299
299 - 307
307 - 315
315 - 323
323 - 331
331 - 339
339 - 347
347 - 355
No. of labourers
9
14
7
32
27
8
37
27
(ii)
Daily wage(in Rs)
291 - 299
299 - 307
307 - 315
315 - 323
323 - 331
331 - 339
339 - 347
347 - 355
No. of labourers
9
27
7
32
24
8
37
14
(iii)
Daily wage(in Rs)
291 - 299
299 - 307
307 - 315
315 - 323
323 - 331
331 - 339
339 - 347
347 - 355
No. of labourers
9
14
7
32
24
8
37
27
(iv)
Daily wage(in Rs)
291 - 299
299 - 307
307 - 315
315 - 323
323 - 331
331 - 339
339 - 347
347 - 355
No. of labourers
9
14
32
7
24
8
37
27
(v)
Daily wage(in Rs)
291 - 299
299 - 307
307 - 315
315 - 323
323 - 331
331 - 339
339 - 347
347 - 355
No. of labourers
9
14
5
32
24
8
37
27
Question
24
24.
Heights of 164 plants (in cm) are given below. Identify the class mark table for the given histogram.
(i)
Height (in cm)
65.5
73.5
81.5
89.5
97.5
105.5
No. of plants
37
49
28
14
29
9
(ii)
Height (in cm)
65.5
73.5
81.5
89.5
97.5
105.5
No. of plants
37
49
28
12
29
9
(iii)
Height (in cm)
65.5
73.5
81.5
89.5
97.5
105.5
No. of plants
37
28
49
12
29
9
(iv)
Height (in cm)
65.5
73.5
81.5
89.5
97.5
105.5
No. of plants
37
49
24
12
29
9
(v)
Height (in cm)
65.5
73.5
81.5
89.5
97.5
105.5
No. of plants
37
9
28
12
29
49
Question
25
25.
Scores of 191 students are given below.
Identify the class interval table for the given histogram and frequency polygon on the same graph.
(i)
Score
78 - 83
83 - 88
88 - 93
93 - 98
98 - 103
103 - 108
108 - 113
No. of students
24
9
28
50
34
32
14
(ii)
Score
78 - 83
83 - 88
88 - 93
93 - 98
98 - 103
103 - 108
108 - 113
No. of students
24
28
9
50
34
32
14
(iii)
Score
78 - 83
83 - 88
88 - 93
93 - 98
98 - 103
103 - 108
108 - 113
No. of students
24
28
13
50
34
32
14
(iv)
Score
78 - 83
83 - 88
88 - 93
93 - 98
98 - 103
103 - 108
108 - 113
No. of students
24
14
9
50
34
32
28
(v)
Score
78 - 83
83 - 88
88 - 93
93 - 98
98 - 103
103 - 108
108 - 113
No. of students
24
28
9
54
34
32
14
Assignment Key
1) (ii)
2) (v)
3) (ii)
4) (iii)
5) (i)
6) (iii)
7) (ii)
8) (v)
9) (i)
10) (v)
11) (v)
12) (iii)
13) (ii)
14) (iv)
15) (iv)
16) (iv)
17) (i)
18) (iii)
19) (v)
20) (v)
21) (v)
22) (ii)
23) (iii)
24) (ii)
25) (ii)
